Fuzzy Robust Dual-Mode Control for a Class of Nonlinear Systems

Abstract

A robust receding horizon dual-mode control method is proposed for a class of uncertain discrete-time nonlinear systems using Takagi-Sugeno fuzzy models subject to input and state constraints. The uncertainties are considered to exist in system parameters and assumed to belong to a polytopic set. Using the property of the invariant ellipsoid, a receding horizon dual-mode control that satisfies the constraints on the input and the state is introduced. The proposed controller is obtained by using semi-definite programming (SDP) which can be easily solved by means of Linear Matrix Inequalities. The numerical example is given to verify the feasibility and efficiency of the proposed method.