Robust PID controller design based on multi-objective Particle Swarm Optimization approach

This paper presents a new method for the synthesis of a robust PID controller for SISO or MIMO systems based on H
_∞
concepts and Multi-Objective Particle Swarm Optimization (MOPSO). This work aims to satisfy several H
_∞
criteria and constraints for the design of a robust PID controller. The formulated optimization-based synthesis problem is solved with the developed MOPSO algorithm. The proposed method is based on the concepts of Pareto dominance to identify the non-dominated solutions. The adaptive grid method is used to produce well-distributed Pareto fronts in multi-objective formalism. The obtained simulation results are compared with the NSGA-II evolutionary algorithm and which shows the superiority of MOPSO algorithm in terms of performance and robustness.