Optimizing PID Parameters Using Harmony Search

Authors: N. Arulanand, P. Dhara

Abstract:

Optimizing the parameters in the controller plays a vital role in the control theory and its applications. Optimizing the PID parameters is finding out the best value from the feasible solutions. Finding the optimal value is an optimization problem. Inverted Pendulum is a very good platform for control engineers to verify and apply different logics in the field of control theory. It is necessary to find an optimization technique for the controller to tune the values automatically in order to minimize the error within the given bounds. In this paper, the algorithmic concepts of Harmony search (HS) and Genetic Algorithm (GA) have been analyzed for the given range of values. The experimental results show that HS performs well than GA.

Keywords: Genetic Algorithm, Harmony Search Algorithm, Inverted Pendulum, PID Controller.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109449

References:

[1] M. Moghaddas, M. Reza Dastranj, N. Changizi, and N. Khoori, “Design of Optimal PID Controller for Inverted Pendulum Using Genetic Algorithm,” International Journal of Innovation, Management and Technology, Vol. 3, No.4, pp.440-442, 2012.
[2] B. Nagaraj, S. Subha, B. Rampriya, “Tuning Algorithms for PID Controller Using Soft Computing Techniques,” International Journal of Computer Science and Network Security, Vol.8, No.4, 2008.
[3] V. Kurdekar and S. Borkar, “Inverted Pendulum Control: A Brief Overview,” International Journal of Modern Engineering Research, Vol. 3, No. 5, pp. 2924-2927, 2013.
[4] W.D. Chang, R.C. Hwang and J.G. Hsieh, “A self-tuning PID control for a class of nonlinear systems based on the Lyapunov approach”, Journal of Process Control, Vol. 12, No. 2, pp. 233-242, 2002.
[5] J.C. Shen, “New tuning method for PID controller”, ISA Transactions, Vol. 41, No. 4, pp. 473-484, 2002.
[6] C. Gregory, H.A. Kiam and L. Yun, “PID Control System Analysis, Design, and Technology”, IEEE Transactions on Control Systems Technology, Vol. 13, No. 4, pp. 559-576, 2005.
[7] N.B. Nichols, and J. G. Ziegler, “Optimum Settings for Automatic Controllers,” J. Dyn. Sys., Vol. 115, No. 2, pp. 220-222, 2008.
[8] C. Gregory, H. A. Kiam, and L. Yun, “PID Control System Analysis, Design, and Technology,” IEEE T. Contr. Syst. T., Vol. 13, No. 4, pp. 559-576,2005
[9] Y. Arturo, V. Luis Morales, J. Rene de, and A.Roque, “PID-Controller Tuning Optimization with Genetic Algorithms in Servo Systems,” INT J ADV ROBOT SYST, Vol. 10, pp.1 -14, 2013.
[10] K. F. Man, K. S. Tang, and S. Kwong, “ Genetic Algorithms: Concepts and Applications,” IEEE T. Ind. Electron., Vol. 43, No. 5, 1996
[11] K. S. Lee, and Z. W. Geem, “A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice,” Comput. Methods Appl. Mech. Engrg., pp. 3902-3933, 2005.
[12] K. S. Lee, and Z. W. Geem, “A new structural optimization method based on the harmony search algorithm,” Computers and Structures, pp. 781-798, 2004.