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Article

Regional Stabilization of Exothermal Plug-Flow Tubular (Bio) Reactors

1Department of Mathematics, Faculté des Sciences, Université Chouaib Doukkali, Morocco

2Department of Biology, Faculté des Sciences Semlalia, Université Cadi Ayyad, Morocco

3Department of Mathematics, Faculty of Sciences, Moulay Ismail, Morocco


Automatic Control and Information Sciences. 2013, 1(1), 6-10
DOI: 10.12691/acis-1-1-2
Copyright © 2013 Science and Education Publishing

Cite this paper:
Nadia BARJE, Farid BARJE, Mohamed EL AALLAOUI, Asmae KAMAL. Regional Stabilization of Exothermal Plug-Flow Tubular (Bio) Reactors. Automatic Control and Information Sciences. 2013; 1(1):6-10. doi: 10.12691/acis-1-1-2.

Correspondence to: Nadia  BARJE, Department of Mathematics, Faculté des Sciences, Université Chouaib Doukkali, Morocco. Email: nbarje@yahoo.fr

Abstract

This paper presents a regional stabilization of an exothermal (bio)chemical process around a specified steady-state temperature and concentration profiles. These desired profiles provide a constant temperature equilibrium that has lead to a closed-loop steady-state behavior which is close to that of an isothermal process. To achieve the regional stability a nonlinear state estimator based on the component temperature measurements is included into a state feedback system so that there is no need for measuring the process component concentration. Performance issues are illustrated in a simulation study.

Keywords

References

[1]  J. Winkin, D. Dochain, P. Ligarius, “Dynamical Analysis of Distributed Parameter Tubular Reactors”, Automatica, 2000, Vol. 36, 349-361.
 
[2]  C. Antoniades, P. D. Christofides, “Studies on nonlinear dynamics and control of tubular reactor with recycle,” Nonlinear Anal, 2001, Vol.47, pp.5933-5944.
 
[3]  N. Barje, F. Barje, M. El Aallaoui, A. Kamal, “State Estimators for Isothermal Plug-Flow (Bio)Reactors”, International Journal of Applied Mathematics, 2013, Vol.28, Issue.2.
 
[4]  Y. Orlov, D. Dochain, “Discontinuous Feedback Stabilization of Minimum-Phase Semilinear Infinite-Dimensional Systems With Application to Chemical Tubular Reactor Models”, IEEE Trans. Aut. Contr, 2002, Vol. 47, 1293-1304.
 
[5]  I.Y. Smets, D. Dochain, J.F. Van Impe, “Optimal Temperature Control of a Steady-State Exothermic Plug-Flow Reactor”, AIChE Journal, 2002, Vol. 48, No. 2, 279-286.
 
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[6]  I. Aksikas, J.F. Forbes, “On asymptotic stability of semi-linear distributed parameter dissipative systems”, Automatica, 2010, Vol. 46:6, pp. 1042-1046.
 
[7]  R., NAGEL, “One-Parameter Semigroups of Positive Operators, Lecture Notes in Mathematics”, Vol. 1184, Springer, New York, 1986.
 
[8]  Aksikas, “Analysis and LQ-Optimal Control of Infinite Dimensional Semi-linear Systems,” PhD Thesis, University Catholic, Louvain, Belgium, 2005.
 
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Article

Evaluating the Partial Derivatives of Four Types of Two-Variables Functions

1Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan


Automatic Control and Information Sciences. 2014, 2(1), 1-6
DOI: 10.12691/acis-2-1-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Chii-Huei Yu. Evaluating the Partial Derivatives of Four Types of Two-Variables Functions. Automatic Control and Information Sciences. 2014; 2(1):1-6. doi: 10.12691/acis-2-1-1.

Correspondence to: Chii-Huei  Yu, Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan. Email: chiihuei@nju.edu.tw

Abstract

This article uses the mathematical software Maple for the auxiliary tool to study the partial differential problems of four types of two-variables functions. We can obtain the infinite series forms of any order partial derivatives of these two-variables functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order partial derivative values. In addition, we provide some examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying our answers by using Maple.

Keywords

References

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[6]  C. -H. Yu, “Using Maple to evaluate the partial derivatives of two-variables functions, ” International Journal of Computer Science and Mobile Computing, Vol. 2, Issue. 6, pp. 225-232, 2013.
 
[7]  C.-H. Yu, “Using Maple to study the partial differential problems,” Applied Mechanics and Materials, in press.
 
[8]  C. -H. Yu, “Evaluating partial derivatives of two-variables functions by using Maple,” Proceedings of the 6th IEEE/International Conference on Advanced Infocomm Technology, Taiwan, pp. 23-27, 2013.
 
[9]  C.-H. Yu, “Application of Maple: taking the partial differential problem of some types of two-variables functions as an example,” Proceedings of the International Conference on e-Learning, Taiwan, pp. 337-345, 2013.
 
[10]  C.-H. Yu, “Application of Maple on the partial differential problem of four types of two-variables functions,” Proceedings of the International Conference on Advanced Information Technologies, Taiwan, No. 87, 2013.
 
[11]  C.-H., Yu, “Application of Maple: taking the partial differential problem of two-variables functions as an example,” Proceedings of 2013 Business Innovation and Development Symposium, Taiwan, B20130113001, 2013.
 
[12]  C. -H. Yu and B. -H. Chen, “The partial differential problem,” Computational Research, Vol. 1, No. 3, pp. 53-60, 2013.
 
[13]  C. -H. Yu, “Partial derivatives of some types of two-variables functions,” Pure and Applied Mathematics Journal, Vol. 2, No. 2, pp. 56-61, 2013.
 
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Article

Decoding of the Triple-Error-Correcting Binary Quadratic Residue Codes

1Department of Computer Science and Information Engineering, Fortune Institute of Technology, Kaohsiung, ROC


Automatic Control and Information Sciences. 2014, 2(1), 7-12
DOI: 10.12691/acis-2-1-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Hung-Peng Lee, Hsin-Chiu Chang. Decoding of the Triple-Error-Correcting Binary Quadratic Residue Codes. Automatic Control and Information Sciences. 2014; 2(1):7-12. doi: 10.12691/acis-2-1-2.

Correspondence to: Hung-Peng  Lee, Department of Computer Science and Information Engineering, Fortune Institute of Technology, Kaohsiung, ROC. Email: hpl@fotech.edu.tw

Abstract

In this paper, a more efficient syndrome-weight decoding algorithm (SWDA), called the enhanced syndrome-weight decoding algorithm (ESWDA), is presented to decode up to three possible errors for the binary systematic (23, 12, 7) and (31, 16, 7) quadratic residue (QR) codes. In decoding of the QR codes, the evaluation of the error-locator polynomial in the finite field is complicated and time-consuming. To solve such a problem, the proposed ESWDA avoids evaluating the complicated error-locator polynomial, and has no need of a look-up table to store the syndromes and their corresponding error patterns in the memory. In comparison with the SWDA developed by Lin-Chang-Lee-Truong (2010), the simulation results show that the ESWDA can serve as an efficient and high-speed decoder.

Keywords

References

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[3]  Elia, M., “Algebraic decoding of the (23, 12, 7) Golay codes,” IEEE Trans. Inform. Theory, 33(1). 150-151. Jan. 1987.
 
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[5]  Lee, C.D., “Weak general error locator polynomials for triple-error-correcting binary Golay code,” IEEE Comm. Letters, 15(8). 857-859. Aug. 2011.
 
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[6]  Lin, T.C., Chang, H.C., Lee, H.P., Chu, S.I, and Truong, T.K., “Decoding of the (31, 16, 7) quadratic residue code,” J. Chinese Institute of Engineers, 33(4). 573-580. June 2010.
 
[7]  Lin, T.C., Chang, H.C., Lee, H.P., and Truong, T.K., “On the decoding of the (24, 12, 8) Golay code,” Inform. Sci., 180(23). 4729-4736. Dec. 2010.
 
[8]  Lin, T.C., Lee, H.P., Chang, H.C., Chu, S.I, and Truong, T.K., “High speed decoding of the binary (47, 24, 11) quadratic residue code,” Inform. Sci., 180(20). 4060-4068. Oct. 2010.
 
[9]  Lin, T.C., Lee, H.P., Chang, H.C., and Truong, T.K., “A cyclic weight algorithm of decoding the (47, 24, 11) quadratic residue code,” Inform. Sci., 197. 215-222. Aug. 2012.
 
[10]  Reed, I.S., Shih, M.T., and Truong, T.K., “VLSI design of inverse-free Berlekamp-Massey algorithm,” IEE Proc. Comput. Digit. Tech., 138(5). 295-298. Sept. 1991.
 
[11]  Reed, I.S., Yin, X., and Truong, T.K., “Algebraic decoding of the (32, 16, 8) quadratic residue code,” IEEE Trans. Inform. Theory, 36 (4). 876-880. July 1990.
 
[12]  Reed, I.S., Yin, X., Truong, T.K., and Holmes, J.K., “Decoding the (24, 12, 8) Golay code,” IEE Proc. Comput. Digit. Tech., 137(3). 202-206. May 1990.
 
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Article

Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions

1Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia

2Faculty of Technology, University of Nis, Serbia

3University of Belgrade, School of Mechanical Engineering, Innovation Centre, Belgrade, Serbia


Automatic Control and Information Sciences. 2014, 2(1), 13-19
DOI: 10.12691/acis-2-1-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Dragutin Lj. Debeljkovic, Sreten B. Stojanovic, Goran V. Simeunovic, Nebojsa J. Dimitrijevic. Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions. Automatic Control and Information Sciences. 2014; 2(1):13-19. doi: 10.12691/acis-2-1-3.

Correspondence to: Dragutin  Lj. Debeljkovic, Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia. Email: ddebeljkovic@yahoo.com

Abstract

In this paper, we consider the problem of finite-time stability of a class of linear singular continuous time delay systems. By using Lyapunov-like functional with time-delay, new delay-dependent stability condition has been derived in terms of matrix inequality such that the system under consideration is regular, impulse free and finite time stable. In the proposed stability criterion, Drazin inverse of a singular matrix is used.

Keywords

References

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[2]  Müller, P.C., “Stability of Linear Mechanical Systems with Holonomic Constraints”, Applied Mechanics Review, 46 (11). 160-164. 1993.
 
[3]  Campbell, S.L., Meyer, C.D., Rose, N.J. “Application of Drazin Inverse to Linear Systems of Differential Equations”, SIAM J. Appl. Math., 31. 411-425. 1976.
 
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[5]  La Salle, Lefschet, S., “Stability by Lyapunov’s Direct Method”, Academic Press, New York, 1961.
 
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[9]  Debeljkovic, D.Lj., Bajic, V.B., Gajic, Z., Petrovic, B., “Boundedness and existence of solutions of regular and irregular singular systems", Publications of the Faculty of Electrical Eng, Belgrade, Automatic Control, 1. 69-78. 1993.
 
[10]  Debeljkovic, D.Lj., Lazarevic, M.P., Koruga, Đ., Tomasevic, S., “Finite time stability of singular systems operating under perturbing forces: Matrix measure approach”, Proc. AMSE Conference, Melbourne Australia, 447-450. October 29-31. 1997.
 
[11]  Kablar, N.A., Debeljkovic, D.Lj., “Non - Lyapunov stability of linear singular systems: Matrix measure approach”, MNTS - Mathematical Theory of Networks and Systems, Presented lecture, also in Proc. of Ext. Abstracts, TM7, Padova, Italy, July 6-10, 1998.
 
[12]  Kablar, N.A., Debeljkovic, D.Lj., “Non - Lyapunov stability of linear singular systems: Matrix measure approach”, Preprints 5th IFAC Symposium on Low Cost Automation, Shenyang, China, September 8-10, TS13. 16-20, 1998.
 
[13]  Kablar, N.A., Debeljkovic, D.Lj., “Finite time stability of time varying singular systems”, Proc. IEEE CDC 98, Florida, USA, pp.3831-3836, December 10-12, 1998.
 
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[15]  Kablar, N.A., Debeljkovic, D.Lj., “Finite time instability of time varying linear singular systems”, Proc. IEEE ACC 99, San Diego, USA, 1796-1800. June 2-4. 1999.
 
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[26]  Debeljkovic, D.Lj., Lazarevic, M.P., Milinkovic, S.A., Jovanovic, M.B., “Finite Time Stability Analysis of Linear Time Delay Systems: Bellman-Gronwall Approach”, Proc. 1st IFAC Workshop on Linear Time Delay Systems, Grenoble, France, 171-175. July 6-7. 1998.
 
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Article

Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor V.A. Kasianov

1Mechanics Department, Mechanical-Energetical Faculty, Aero-Space Institute, National Aviation University, Kyiv, Ukraine


Automatic Control and Information Sciences. 2014, 2(1), 20-25
DOI: 10.12691/acis-2-1-4
Copyright © 2014 Science and Education Publishing

Cite this paper:
Andriy Viktorovich Goncharenko. Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor V.A. Kasianov. Automatic Control and Information Sciences. 2014; 2(1):20-25. doi: 10.12691/acis-2-1-4.

Correspondence to: Andriy  Viktorovich Goncharenko, Mechanics Department, Mechanical-Energetical Faculty, Aero-Space Institute, National Aviation University, Kyiv, Ukraine. Email: andygoncharenco@yahoo.com

Abstract

Herein it has been made an attempt to find a theoretical explanation to the responsible person controlling behavior. On the basis of the subjective entropy of individual preferences extremization principle developed by Professor V.A. Kasianov we can derive some identities. Using the necessary conditions for extremums of a functional to exist in the view of the system of the Euler-Lagrange equations we get the widely known fundamental laws, namely, the law of subjective value by Jakob Bernoulli, as well as the main law of psychophysiology: the Weber-Fechner law in application to problems of optimal control in active systems. The discussed approach allows finding optimal paths as well as has an intrinsic universal value. The derived dependences have the significance of the conservative values at solving optimization problems. The corresponding modeling performed is illustrated with the necessary diagrams.

Keywords

References

[1]  Ma, F.C., Lv, P.H., and Ye, M., “Study on Global Science and Social Science Entropy Research Trend”, 2012 IEEE fifth International Conference on Advanced Computational Intelligence (ICACI), October 18-20, 2012 Nanjing, Jiangsu, China. 238-242. 2012.
 
[2]  Kasianov, V.A., Subjective analysis: monograph, National Aviation University, Kyiv, Ukraine, 2007, 512
 
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Article

A Decentralized Event-Based Model Predictive Controller Design Method for Large-Scale Systems

1Department of Instrumentation and Industrial Automation, Petroleum University of Technology, Ahwaz, Iran


Automatic Control and Information Sciences. 2014, 2(1), 26-31
DOI: 10.12691/acis-2-1-5
Copyright © 2014 Science and Education Publishing

Cite this paper:
Karim Salahshoor, Mohsen Hadian. A Decentralized Event-Based Model Predictive Controller Design Method for Large-Scale Systems. Automatic Control and Information Sciences. 2014; 2(1):26-31. doi: 10.12691/acis-2-1-5.

Correspondence to: Mohsen  Hadian, Department of Instrumentation and Industrial Automation, Petroleum University of Technology, Ahwaz, Iran. Email: m.hadian@put.ac.ir

Abstract

This paper presents a new methodology to design decentralized event-based control strategy for large-scale systems under the general MPC framework. The method introduces an appealing perspective to effectively reduce the computing load and communication effort in computer-based networks by incorporating the MPC approach in an event-based design framework. The proposed methodology is shown to be capable of coping explicitly with multi-input, multi-output (MIMO) plants having constraints while preserving the control performance characteristics due to decentralized MPC method with less control computational effort. The proposed control architecture ensures the stability of the closed-loop system, optimal performance and significant reduction in computational load without sacrificing the performance. Performances of the proposed method are comparatively explored on a catalytic alkylation of benzene process plant as the benchmark case study. A diverse set of experiments has been conducted to clearly demonstrate superiority of the proposed methodology compared to the standard time-driven decentralized MPC scheme on the basis of mean-squared error and number of events or control actions measures.

Keywords

References

[1]  K.-E. Årzén, “A simple event-based PID controller,” in Proc. 14th IFAC World Congress, 1999, vol. 18, pp. 423-428.
 
[2]  W. Heemels, R. J. A. Gorter, A. van Zijl, P. P. J. Van den Bosch, S. Weiland, W. H. A. Hendrix, and M. R. Vonder, “Asynchronous measurement and control: a case study on motor synchronization,” Control Eng. Pract., vol. 7, no. 12, pp. 1467-1482, 1999.
 
[3]  W. Heemels, J. H. Sandee, and P. P. J. Van Den Bosch, “Analysis of event-driven controllers for linear systems,” Int. J. Control, vol. 81, no. 4, pp. 571-590, 2008.
 
[4]  M. Mazo and P. Tabuada, “On event-triggered and self-triggered control over sensor/actuator networks,” in Decision and Control, 2008. CDC 2008. 47th IEEE Conference on, 2008, pp. 435-440.
 
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[9]  E. Camacho and C. Bordons, Model predictive control. 2004, pp. 1-78.
 
[10]  D. Q. Mayne, J. B. Rawlings, C. V Rao, and P. O. M. Scokaert, “Constrained model predictive control: Stability and optimality,” Automatica, vol. 36, no. 6, pp. 789-814, 2000.
 
[11]  S. J. Qin and T. A. Badgwell, “A survey of industrial model predictive control technology,” Control Eng. Pract., vol. 11, no. 7, pp. 733-764, 2003.
 
[12]  L. Magni and R. Scattolini, “Stabilizing decentralized model predictive control of nonlinear systems,” Automatica, vol. 42, no. 7, pp. 1231-1236, 2006.
 
[13]  R. M. Hermans, M. Lazar, A. Jokic, and P. van den Bosch, “Almost decentralized model predictive control of power networks,” in MELECON 2010-2010 15th IEEE Mediterranean Electrotechnical Conference, 2010, pp. 1551-1556.
 
[14]  A. Damoiseaux, A. Jokic, M. Lazar, A. Alessio, P. P. J. Van den Bosch, I. Hiskens, and A. Bemporad, “Assessment of decentralized model predictive control techniques for power networks,” in 16th Power Systems Computation Conference, Glasgow, Scotland, 2008, vol. 210.
 
[15]  A. Alessio and A. Bemporad, “Decentralized model predictive control of constrained linear systems,” Aiche J., vol. 48, pp. 2813-2818, 2007.
 
[16]  J. Liu, X. Chen, D. Muñoz de la Peña, and P. D. Christofides, “Sequential and iterative architectures for distributed model predictive control of nonlinear process systems,” AIChE J., vol. 56, no. 8, pp. 2137-2149, 2010.
 
[17]  H. Ganji, J. S. Ahari, A. Farshi, and M. Kakavand, “Modelling and simulation of benzene alkylation process reactors for production of ethylbenzene,” Pet. Coal, vol. 46, pp. 55-63, 2004.
 
[18]  C. Perego and P. Ingallina, “Combining alkylation and transalkylation for alkylaromatic production,” Green Chem., vol. 6, no. 6, pp. 274-279, 2004.
 
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Article

Complex Evaluation of Hierarchically-Network Systems

1Department of Nonlinear Mathematical Analysis, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine


Automatic Control and Information Sciences. 2014, 2(2), 32-44
DOI: 10.12691/acis-2-2-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Dmytro Polishchuk, Olexandr Polishchuk, Mykhailo Yadzhak. Complex Evaluation of Hierarchically-Network Systems. Automatic Control and Information Sciences. 2014; 2(2):32-44. doi: 10.12691/acis-2-2-1.

Correspondence to: Olexandr  Polishchuk, Department of Nonlinear Mathematical Analysis, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine. Email: od_polishchuk@mail.ru

Abstract

Methods of complex evaluation based on local, forecasting, aggregated, and interactive estimation of the state, function quality, and interaction of complex system’s objects on the all hierarchical levels is proposed. Examples of analysis of the structural elements of railway transport system are used for illustration of efficiency of proposed approach.

Keywords

References

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[5]  Polishchuk, D. and Polishchuk, O., “About evaluation of complex dynamical systems”, Journal of Complex Systems, 2013, Article ID 204304, 6 p. Available: http://dx.doi.org/10.1155/2013/ 204304.
 
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[12]  Polishchuk, D., “Model of local evaluation of the state of Ukrrailways track facilities”, Proceedings of Dnipropetrovsk National University of Railway Transport, 41. 158-166. Apr. 2012.
 
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[20]  Polishchuk, D., Polishchuk, O. and Yadzhak, M., “Investigation of the state and functioning quality of railway system”, Proceedings of National Transport University, 26 (1). 385-391. Oct. 2012.
 
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Article

Design and Development of Selective Tea Leaf Plucking Robot

1Research and Development Centre, Bharathiar University, Coimbatore, India

2Department of Electronics & Instrumentation Bharathiar University, Coimbatore, India


Automatic Control and Information Sciences. 2014, 2(2), 45-48
DOI: 10.12691/acis-2-2-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
A Sureshkumar. A, S. Muruganand. Design and Development of Selective Tea Leaf Plucking Robot. Automatic Control and Information Sciences. 2014; 2(2):45-48. doi: 10.12691/acis-2-2-2.

Correspondence to: A  Sureshkumar. A, Research and Development Centre, Bharathiar University, Coimbatore, India. Email: sureshkumarelex@gmail.com

Abstract

To acquire the developing trend and ways of robotizing of tea plucking, with analyzing the developing backgrounds and situations of tea plucking robot both at commercial and agro automation, this article also analyses the reason why agriculture domain has a poor mechanization of tea plucking and points out existing problems. Finally, invention claims a selective tea leaf plucking robot belongs to agricultural automation. This robot is designed considering selective tea leaf plucking and ergonomics aspects, which helps to operate robot without any fatigue. The robot includes portable robot mechanism, multi-sensor, robot control unit, rail conveyer and distributing system with container arrangement.

Keywords

References

[1]  Han, Y., et al. (2014) Developing Situations of Tea Plucking Machine. Engineering, 6, pp-268-273.
 
[2]  Suzuki, K. (1977) Studies on the Wide Application of the Self-Propelled Plucking Machine. Tea Research Journal, 45, 63-72.
 
[3]  Nakano, T. (1998) Influences of Plucking Position on Yield and Quality of Tea in Mechanically-Plucked Tea Bush. Tea Research Journal, 86, 11-17.
 
[4]  Lin, X.H. (1989) Only Realized Mechanization of Tea-Leaf Picking, Can Tea Producing Industry Developed. Fu Jian Tea, 15, 4-7.
 
[5]  Owuor, P.O., Kamau, D.M. and Jondiko, E.O. (2008) Responses of Clonal Tea to Location of Production and Plucking Intervals. Food Chemistry, 115, 290-296.
 
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[6]  Liu, Z. (2010) Situations and Suggests of Our Country’s Tea Standard. Tea Communication, 23, 27-30.
 
[7]  Alastair Hicks, Current Status and Future Development of Global Tea Production and Tea Products AU J.T. 12 (4): pp- 251-264 (Apr. 2009).
 
[8]  Sandeep P, Gopinath C , Design and development of a conceptual tea leaf harvesting machine , SASTECH journal Volume 10, Issue 2, Sep 2011 pp- 95-102.
 
[9]  Zheng, N.H. and Wang, Z.K. (2011) Mechanization of Tea Picking: Break Out the Bottleneck of Tea Industry. Chinese country Technology and Science, 12, 14-17.
 
[10]  Tea board of India, www.teaboard.gov.in,
 
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Article

Closed Forms of Some Definite Integrals

1Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan


Automatic Control and Information Sciences. 2014, 2(3), 49-52
DOI: 10.12691/acis-2-3-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Chii-Huei Yu. Closed Forms of Some Definite Integrals. Automatic Control and Information Sciences. 2014; 2(3):49-52. doi: 10.12691/acis-2-3-1.

Correspondence to: Chii-Huei  Yu, Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan. Email: chiihuei@nju.edu.tw

Abstract

This paper studies two types of definite integrals and uses Maple for verification. The closed forms of these definite integrals can be obtained using Poisson integral formula. On the other hand, some examples are used to demonstrate the calculations.

Keywords

References

[1]  A. A. Adams, H. Gottliebsen, S. A. Linton, and U. Martin, “Automated theorem proving in support of computer algebra: symbolic definite integration as a case study,” Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, Canada, pp. 253-260, 1999.
 
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[4]  C. -H. Yu,“A study of two types of definite integrals with Maple, ”Jökull Journal, Vol. 64, No. 2, pp. 543-550, 2014.
 
[5]  C. -H. Yu, “Evaluating two types of definite integrals using Parseval’s theorem,”Wulfenia Journal, Vol. 21, No. 2, pp. 24-32, 2014.
 
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[6]  C. -H. Yu,“Solving some definite integrals using Parseval’s theorem,”American Journal of Numerical Analysis, Vol. 2, No. 2, pp. 60-64, 2014.
 
[7]  C. -H. Yu,“Some types of integral problems,”American Journal of Systems and Software, Vol. 2, No. 1, pp. 22-26, 2014.
 
[8]  C. -H. Yu,“Using Maple to study the double integral problems,” Applied and Computational Mathematics, Vol. 2, No. 2, pp. 28-31, 2013.
 
[9]  C. -H. Yu, “ A study on double Integrals, ” International Journal of Research in Information Technology, Vol. 1, Issue. 8, pp. 24-31, 2013.
 
[10]  C. -H. Yu, “Application of Parseval’s theorem on evaluating some definite integrals,”Turkish Journal of Analysis and Number Theory, Vol. 2, No. 1, pp. 1-5, 2014.
 
[11]  C. -H. Yu, “Evaluation of two types of integrals using Maple, ”Universal Journal of Applied Science, Vol. 2, No. 2, pp. 39-46, 2014.
 
[12]  C. -H. Yu, “Studying three types of integrals with Maple, ”American Journal of Computing Research Repository, Vol. 2, No. 1, pp. 19-21, 2014.
 
[13]  C. -H. Yu, “The application of Parseval’s theorem to integral problems,”Applied Mathematics and Physics, Vol. 2, No. 1, pp. 4-9, 2014.
 
[14]  C. -H. Yu, “A study of some integral problems using Maple, ”Mathematics and Statistics, Vol. 2, No. 1, pp. 1-5, 2014.
 
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[17]  C. -H. Yu, “Solving some integrals with Maple,”International Journal of Research in Aeronautical and Mechanical Engineering, Vol. 1, Issue. 3, pp. 29-35, 2013.
 
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[30]  C. -H. Yu and B. -H. Chen, “Solving some types of integrals using Maple,”Universal Journal of Computational Mathematics, Vol. 2, No. 3, pp. 39-47, 2014.
 
[31]  C. -H. Yu and S. -D. Sheu, “Infinite series forms of double integrals,” International Journal of Data Envelopment Analysis and *Operations Research*, Vol. 1, No. 2, pp. 16-20, 2014.
 
[32]  C. -H. Yu and S. -D. Sheu, “Using area mean value theorem to solve some double integrals,” Turkish Journal of Analysis and Number Theory, Vol. 2, No. 3, pp. 75-79, 2014.
 
[33]  C. -H. Yu and S. -D. Sheu, “Evaluation of triple integrals,” American Journal of Systems and Software, Vol. 2, No. 4, pp. 85-88, 2014.
 
[34]  T. -J. Chen and C. -H. Yu, “A study on the integral problems of trigonometric functions using two methods, ”Wulfenia Journal, Vol. 21, No. 4, pp. 76-86, 2014.
 
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Article

Robust Lead Compensator Design for an Electromechanical Actuator Based on H∞ Theory

1Faculty of Electrical Engineering, Malek-Ashtar University of Technology (MUT), 15875-1774, Tehran, Iran

2School of Railway Engineering, Iran University of Science and Technology (IUST), 16846-13114, Tehran, Iran


Automatic Control and Information Sciences. 2014, 2(3), 53-58
DOI: 10.12691/acis-2-3-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Rafik Salloum, Mohammad Reza Arvan, Bijan Moaveni. Robust Lead Compensator Design for an Electromechanical Actuator Based on H∞ Theory. Automatic Control and Information Sciences. 2014; 2(3):53-58. doi: 10.12691/acis-2-3-2.

Correspondence to: Rafik  Salloum, Faculty of Electrical Engineering, Malek-Ashtar University of Technology (MUT), 15875-1774, Tehran, Iran. Email: rafsal@mail.iust.ac.ir

Abstract

In this paper, we design a robust lead compensator for a real Electromechanical Actuator (EMA) harmonic drive by introducing an approach based on H∞ control theory. Here, we address three main topics; experimental identification, uncertainty modelling, and robust control design for a real EMA harmonic drive system. This method verifies good tradeoff between the powerful H∞ controller and the unique features of compensators, such as: simplicity, low cost and easy implementation. The H∞ controller and the extracted compensator are almost identical within the EMA bandwidth range. Simulation and test results prove the effectiveness of the proposed approach and the superiority of the performance of the designed robust EMA with lead compensator based on H∞ controller over the original EMA; this preference is pertaining to its robustness to parametric uncertainties and high performance.

Keywords

References

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