## Automatic Control and Information Sciences

**Current Issue» **Volume 2, Number 3 (2014)

## Article

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

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

^{2}School 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

## Keywords

## References

[[[[[[[[[[[[[[[[[[[[1] | Ristanović, M., Ćojbašić, Ž. and Lazić, D., “Intelligent control of DC motor driven electromechanical fin actuator,” J. Control Engineering Practice, 20 (6). 610-617. Mar. 2012. | ||

[2] | Liscouët, J., MaréJ. C. and Budinger, M., “An integrated methodology for the preliminary design of highly reliable electromechanical actuators: Search for architecture solutions,” Aerospace Science and Technology, 22 (1). 9-18. Oct-Nov. 2012. | ||

[3] | Walter, E., Pronzato, L. and Norton, J., Identification of Parametric Model from Experimental Data, Springer, GB, 1997. | ||

[4] | Lu, H., Li, Y. and Zhu, C., “Robust synthesized control of electromechanical actuator for thrust vector system in spacecraft,” J. Computers and Mathematics with Applications, 64 (5). 699-708. Sept. 2012. | ||

[5] | Toscano, R., “A simple robust PI/PID controller design via numerical optimization approach,” J. of process control, 15 (1). 81-88. Feb. 2005. | ||

[6] | ValérioD. and , J., “Tuning of Fractional Controllers Minimising H2 and H_{∞} Norms,” Acta Polytechnica Hungarica, 3 (4). 55-70. 2006. | ||

[7] | Yogesh, V. H., Gupta, J. R. P. and Choudhury, R., “Kharitonov’s Theorem and Routh Criterion for Stability Margin of Interval Systems,” International Journal of Control, Automation, and Systems, 8 (3). 647-654. June 2010. | ||

[8] | Saadaoui, K. and Özgüler, A. B., “A new method for the computation of all stabilizing controllers of a given order,” International Journal of Control, 78 (1). 14-28. Jan. 2005. | ||

[9] | Tantaris, R. N., Keel, L. H. and Bhattacharyya, S. P., “Stabilization of discrete-time systems by first-order controllers,” IEEE Trans. Automat Control, 48 (5). 858-861. May 2003. | ||

[10] | Tan, N., “Computation of stabilizing PI-PD controllers,” International Journal of Control, Automation, and Systems, 7 (2). 175-184. April 2009. | ||

[11] | Yeroglu, C. and Tan, N., “Design of Robust PI Controller for Vehicle Suspension System,” Journal of Electrical Engineering & Technology, 3 (1). 135-142. 2008. | ||

[12] | Huang, Y. J. and Wang, Y.-J., “Robust PID tuning strategy for uncertain plants based on the Kharitonov theorem,” ISA Transactions, 39 (4). 419-431. Sept. 2000. | ||

[13] | Li, X. H., Yu, H.B., Yuan, M.Z. and Wang, J., “Design of robust optimal proportional-integral-derivative controller based on new interval polynomial stability criterion and Lyapunov theorem in the multiple parameters’ perturbations circumstance,” IET Control Theory Appl., 4 (11). 2427-2440. Nov. 2010. | ||

[14] | Rigatos, G. and Siano, P., “Design of robust electric power system stabilizers using Kharitonov’s theorem,” Mathematics and Computers in Simulation, 82 (1). 181-191. Sept. 2011. | ||

[15] | Yoo, C.-H., Lee, Y.-C. and Lee, S.-Y., “A Robust Controller for an Electro-Mechanical Fin Actuator,” in Proceeding of the American Control Conference, Boston, Massachusetts, 5, June 30-July 2, 2004, 4010-4015. | ||

[16] | Benderradji, H., Chrifi-Alaoui, L., Mahieddine-Mahmoud S. and Makouf, A., “Robust Control of Induction Motor with H∞ Theory based on Loopshaping,” Journal of Electrical Engineering & Technology, 6 (2). 226-232. 2011. | ||

[17] | Raafat, S. M., Akmeliawati, R. and Abdulljabaar, I., “Robust H∞ Controller for High Precision Positioning System, Design, Analysis, and Implementation,” Intelligent Control and Automation, 3 (3). 262-273. Aug. 2012. | ||

[18] | Ljung, L., System Identification: Theory for the User, 2nd edition, Prentice-Hal PTR, Upper Saddle River, NJ, 1999. | ||

[19] | Bhattacharyya, S. P., Chapellat, H. and Keel, L. H., Robust Control: The Parametric Approach, Prentice Hall, 1995. | ||

[20] | Tavakoli, M., Taghirad, H. D., and Abrishamchian, M., “Identification and Robust H∞ Control of the Rotational/Translational Actuator System,” International Journal of Control, Automation, and Systems, 3 (3). 387-396. Sept. 2005. | ||

[21] | Lim, K. B., Cox, D. E., Balas, G. J. and Juang, J.-N., “Validation of an Experimentally Derived Uncertainty Model,” Journal of Guidance, Control, and Dynamics, 21 (3). 485-492. May-June 1998. | ||

[22] | Zhou, K., Doyle, J. C. and Glover, K., Robust and Optimal Control, Prentice Hall, Englewood Cliffs, New Jersey, 1996. | ||

[23] | Oh, D. C., Bang, K. H. and Park, H. B., “Controller order reduction using singular perturbation approximation,” , 33 (6). 1203-1207. June 1997. | ||

[24] | Kuo, C. B., Automatic Control System, 5^{th} edition. Prentice Hall of Indian Private ltd, New Delhi, 1989. | ||

## Article

# Closed Forms of Some Definite Integrals

^{1}Department 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

## 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. | ||

[2] | M. A. Nyblom, “On the evaluation of a definite integral involving nested square root functions,”Rocky Mountain Journal of Mathematics, Vol. 37, No. 4, pp. 1301-1304, 2007. | ||

[3] | C. Oster, “Limit of a definite integral,”SIAM Review, Vol. 33, No. 1, pp. 115-116, 1991. | ||

[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. | ||

[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. | ||

[15] | C. -H. Yu, “Solving some definite integrals by using Maple, ”World Journal of Computer Application and Technology, Vol. 2, No. 3, pp. 61-65, 2014. | ||

[16] | C. -H. Yu, “Using Maple to study two types of integrals,” International Journal of Research in Computer Applications and Robotics, Vol. 1, Issue. 4, pp. 14-22, 2013. | ||

[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. | ||

[18] | C. -H. Yu, “A study on integral problems by using Maple, ”International Journal of Advanced Research in Computer Science and Software Engineering, Vol. 3, Issue. 7, pp. 41-46, 2013. | ||

[19] | C. -H. Yu,“Evaluating some integrals with Maple,” International Journal of Computer Science and Mobile Computing, Vol. 2, Issue. 7, pp. 66-71, 2013. | ||

[20] | C. -H. Yu, “Application of Maple on evaluation of definite integrals, ”Applied Mechanics and Materials, Vols. 479-480 (2014), pp. 823-827, 2013. | ||

[21] | C. -H. Yu, “Application of Maple on the integral problems, ”Applied Mechanics and Materials, Vols. 479-480 (2014), pp. 849-854, 2013. | ||

[22] | C. -H. Yu, “Using Maple to study the integrals of trigonometric functions,”Proceedings of the 6th IEEE/International Conference on Advanced Infocomm Technology, Taiwan, No. 00294, 2013. | ||

[23] | C. -H. Yu, “A study of the integrals of trigonometric functions with Maple,”Proceedings of the Institute of Industrial Engineers Asian Conference 2013, Taiwan, Springer, Vol. 1, pp. 603-610, 2013. | ||

[24] | C. -H. Yu, “Application of Maple on the integral problem of some type of rational functions, ”(in Chinese) Proceedings of the Annual Meeting and Academic Conference for Association of IE, Taiwan, D357-D362, 2012. | ||

[25] | C. -H. Yu, “Application of Maple on some integral problems, ”(in Chinese) Proceedings of the International Conference on Safety & Security Management and Engineering Technology 2012, Taiwan, pp. 290-294, 2012. | ||

[26] | C. -H. Yu, “Application of Maple on some type of integral problem,”(in Chinese) Proceedings of the Ubiquitous-Home Conference 2012, Taiwan, pp.206-210, 2012. | ||

[27] | C. -H. Yu, “Application of Maple on evaluating the closed forms of two types of integrals,”(in Chinese) Proceedings of the 17th Mobile Computing Workshop, Taiwan, ID16, 2012. | ||

[28] | C. -H. Yu, “Application of Maple: taking two special integral problems as examples,”(in Chinese) Proceedings of the 8th International Conference on Knowledge Community, Taiwan, pp.803-811, 2012. | ||

[29] | C. -H. Yu, “Evaluating some types of definite integrals, ”American Journal of Software Engineering, Vol. 2, Issue. 1, pp. 13-15, 2014. | ||

[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. | ||

[35] | T. -J. Chen and C. -H. Yu, “Fourier series expansions of some definite integrals, ”Sylwan Journal, Vol. 158, Issue. 5, pp. 124-131, 2014. | ||

[36] | T. -J. Chen and C. -H. Yu, “Evaluating some definite integrals using generalized Cauchy integral formula,”Mitteilungen Klosterneuburg, Vol. 64, Issue. 5, pp.52-63, 2014. | ||

[37] | J. E. Marsden, Basic complex analysis, W. H. Freeman and Company, San Francisco, 1973. | ||

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