Fuzzy Predictive Fault‐Tolerant Control for Time‐Delay Nonlinear Systems with Partial Actuator Failures

Abstract

A fuzzy predictive fault‐tolerant control (FPFTC) scheme is proposed for a wide class of discrete‐time nonlinear systems with uncertainties, interval time‐varying delays, and partial actuator failures as well as unknown disturbances, in which the main opinions focus on the relevant theory of FPFTC based on Takagi‐Sugeno (T‐S) fuzzy model description of these systems. The T‐S fuzzy model represents the discrete‐time nonlinear system in the form of the discrete uncertain time‐varying delay state space, which is firstly constructed by a set of local linear models and the nonlinear membership functions. The novel improved state space model can be further obtained by extending the output tracking error to the constructed model. Then the fuzzy predictive fault‐tolerant control law based on this extended model is designed, which can increase more control degrees of freedom. Utilizing Lyapunov‐Krasovskill theory, less conservative delay‐range‐dependent stable conditions in terms of linear matrix inequality (LMI) constraints are given to ensure the asymptotically robust stability of closed‐loop system. Meanwhile, the optimized cost function and H‐infinity performance index are introduced to the stable conditions to guarantee the robust performance and antidisturbance capability. The simulation results on the temperature control of a strong nonlinear continuous stirred tank reactor (CSTR) show that the proposed control scheme is feasible and effective.