Design of fractional-order PID controller (FOPID) for a class of fractional-order MIMO systems using a particle swarm optimization (PSO) approach

This paper deals with the tuning of conventional PID and fractional-order PID (FOPID) controllers by using a particle swarm optimization (PSO) algorithm, for a class of fractional-order MIMO systems. This algorithm is motivated from the organism behavior of fish schooling and bird flocking, and involves the social psychology principles in socio-cognition human agents and evolutionary computations. It has a good numerical convergence for solving optimization problem. To illustrate the validity of the PSO-based FOPID and PID controllers, some simulation results are given. In addition, a comparative study between those optimized controllers is carried out.