Particle Swarm Optimization of Robust Fuzzy Parallel Distributed Controller
S. M. S. Alavi, M. H. Zarif, M. Sha Sadeghi, Alireza Barzegar · 2012
This paper represents a robust fuzzy controller design for a nonlinear delay dependent system. The nonlinear model is described using Takagi-Sugeno fuzzy modeling. The stability problem is solved based on lyapunov criterion and a robust controller is designed such that the H condition is satisfied. The sufficient conditions can be presented as Linear Matrix Inequalities (LMI) problem and solving the LMIs yields the robust controller. An optimizing method based on particle swarm optimization (PSO) algorithm is used to optimize the fuzzy controller by optimizing the parameters of the membership functions. Finally, a Continuous Stirred Tank Reactor (CSTR) model is used to evaluate the controller performance and the optimization effectiveness. The comparison between the optimized system and original unoptimized system shows that the optimized system performance is improved, and the system is capable of tracking the command input in a larger equilibrium space.