Obtaining an Optimum PID Controllers for Unstable Systems using Current Search

novel meta-heuristic intelligent search method in industrial control domain, is proposed in this article. The CS is inspired by an electric current flowing through electric networks. It is conducted to synthesize an optimum PID (proportional-integral-derivative) controller for stabilizing three unstable plants, i.e. inverted pendulum, ball-beam, and pitch control systems. The CS is used to search for the optimum controller's parameters denoted as proportional, integral, and derivative gains. As simulation results, optimum PID controllers can be achieved by the CS. The results obtained are very satisfactory.

[1]  P. Kokotovic,et al.  Nonlinear control via approximate input-output linearization: the ball and beam example , 1992 .

[2]  Aidan O'Dwyer,et al.  Handbook of PI and PID controller tuning rules , 2003 .

[3]  N. Minorsky.,et al.  DIRECTIONAL STABILITY OF AUTOMATICALLY STEERED BODIES , 2009 .

[4]  Benjamin C. Kuo,et al.  Automatic control systems (7th ed.) , 1991 .

[5]  International Journal of Systems Applications, Engineering & Development , 2022 .

[6]  Supaporn Suwannarongsri,et al.  Metaheuristic approach to assembly line balancing , 2009 .

[7]  Deacha Puangdownreong,et al.  Obtaining an Optimum PID Controller Via Adaptive Tabu Search , 2007, ICANNGA.

[8]  Deacha Puangdownreong,et al.  Management agent for search algorithms with surface optimization applications , 2008 .

[9]  K. H. Lundberg,et al.  Classical dual-inverted-pendulum control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[10]  Mehrdad Salami,et al.  An adaptive PID controller based on genetic algorithm processor , 1995 .

[11]  William S. Levine,et al.  The Control Handbook , 2010 .

[12]  Deacha Puangdownreong,et al.  Performance assessment of search management agent under asymmetrical problems and control design applications , 2009 .

[13]  Elbrous M. Jafarov,et al.  Longitudinal displacement autopilot design for Boeing 747-400 by root-locus , 2007 .

[14]  James F. Whidborne A genetic algorithm approach to designing finite-precision PID controller structures , 1999 .

[15]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[16]  Charles K. Alexander,et al.  Fundamentals of Electric Circuits , 1999 .