Fuzzy model predictive control for discrete-time system with input delays

Abstract

In this paper, we present a robust fuzzy model predictive control (RFMPC) for a class of discrete-time system with input delays. The system is represented into a Takagi-Sugeno (T-S) discrete fuzzy model. Based on the Lyapunov functions theory, some required sufficient conditions are established in terms of linear-matrix inequalities (LMIs). The provided conditions are obtained through a fuzzy Lyapunov function candidate and a non-PDC control law, which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. A numerical example is provided to illustrate the effectiveness of the control algorithm.