Resilient robust H<inf>∞</inf> fuzzy controller design for a class of nonlinear systems with time-varying delays in states

Abstract

This paper deals with resilient robust H infin fuzzy control problem for a class of nonlinear time-delayed systems with norm-bounded and time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. Firstly, the nonlinear system is represented by Takagi-Sugeno (T-S) fuzzy model. Sufficient conditions are derived for the existence of resilient robust H infin fuzzy controllers in terms of linear matrix inequalities (LMI), which can be solved by convex optimization method. Finally, numerical example is presented to demonstrate the effectiveness of the proposed controller design.