Optimizing PID Parameters Using Harmony Search

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.

Authors:

• N. Arulanand
• P. Dhara

Keywords:

• Genetic Algorithm
• Harmony Search Algorithm
• Inverted Pendulum
• PID Controller.

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.