Abstract

The identification of nonlinear systems operating in a stochastic environment is an important problem in various discipline science and engineering. Fuzzy modeling and especially the T-S fuzzy model draw the attention of several researchers in recent decades this is due to their potential to approximate highly nonlinear behavior. An algorithm allowing the identification of the premise and consequent parameters intervening in the T-S fuzzy model at the same time and this starting from the minimization of four optimization criteria is used. A modification on both last optimization criterion is considered. Then an optimization method using the Particle Swarm Optimization method (PSO) is presented in this paper. Particle Swarm Optimization algorithm combined with the proposed algorithm is also presented. Simulation results on a nonlinear system and on a level control system shows that the proposed algorithm combined with the PSO algorithm gives results more effective than the proposed algorithm only more particularly to the level convergence and time computing. 

Key words: Fuzzy identification, fuzzy clustering, Particle Swarm Optimization (PSO), nonlinear system, nonlinear identification, optimization problem.