Optimization of Model Reference Adaptive Controller for the Inverted Pendulum System Using CCPSO and DE Algorithms

Abstract

The main aim of this paper is to propose two variants of bio-inspired algorithm, Constriction Coefficient Particle Swarm Optimization (CCPSO) and Differential Evolution (DE), which determine optimal parameters of Proportional-Integral-Derivative (PID) controller. To achieve this purpose, the PID controller has been plugged to the Model Reference Adaptive Controller (MRAC) that balances Inverted Pendulum (IP) with nonlinear characteristic in vertical-upright position. For comparison purpose, efficiency of these intelligent approaches to adjust MRAC parameters has been evaluated in terms of time response performance. Finally, the overall simulation results demonstrate that both the algorithms yield acceptable response in controlling the nonlinear model of IP system. However, the performance of DE algorithm is better than CCPSO in terms of transient response characteristics.