Model Reference Fuzzy Tracking Control Design for Uncertain Singularly Perturbed Nonlinear Systems

This paper addresses the model reference fuzzy tracking control design for a class of uncertain singularly perturbed nonlinear (USPN) systems. Based on the Lyapunov stability theorem and the tool of linear matrix inequality (LMI), we solve fuzzy controller gain matrices and some common positive-definite matrices and then two sufficient conditions are derived to stabilize the USPN systems. The allowable perturbation bound epsilon* can be determined via some algebra inequalities, such that the proposed model reference fuzzy tracking control design will stabilize the USPN systems for all epsilon is an element of (0, epsilon*). A practical nonlinear circuit system is given to illustrate the validity of the proposed scheme.