Fuzzy Tracking Control Of Nonlinear Singularly Perturbed Systems

In the models of practical systems like power systems, biological systems, rigid robot systems, aerospace engineering. there often appears some small parameters, such as time, mass, conductance and capacitance. The existence of these small parameters will lead to a very high order of differential equations, and ill-conditioned numerical characteristic for mathematical models.This paper is concerned with the problem of fuzzy output tracking for nonlinear singularly perturbed system and its dissipative performens.First, linear matrix inequality (LMI) based method is proposed for analyzing the performance of the tracking control system. Then, an LMI based H∞tracking controller design method is derived for singularly perturbed systems. Compared with the existing results, the advantages of the proposed method are as follows:the method doesn’t rely on system decomposition; a given upper bound for the singular perturbation parameter is one of the goals of the controller design; the controller design is reduced to solving a convex optimization problem.Finally, the effectiveness of the method is demonstrated by a numerical example.Chapter2studies a class of output tracking control of the linear singularly perturbed system,that is to design a class of output tracking controller on the condition of the given perturbation parameter to make the closed-loop system track the reference output for any range of perturbation parameters, and meet the given performance. Chapter3combines with T-S fuzzy model of linear system theory and fuzzy theory to solve the nonlinear system control problems, to make the nonlinear control systems as a fuzzy approximation of some local linear control systems. Chapter4studies the dissipative performent of the singular perturbation system tracking control dissipation.