Dissipativity Analysis for Singular Interval Type-2 Fuzzy Markov Jump Systems With Actuator Faults and Time-Vary Delays

Abstract

This paper investigates the dissipativity analysis problem of discrete-time singular interval type-2 (IT-2) fuzzy Markov jump systems (FMJSs) with actuator faults and time-vary delays. First, considering the influence of actuator faults, a method employing Lyapunov function dependent on system modes and fuzzy bases is proposed. Second, based on the linear matrix inequality (LMI), a stability criterion related to time delay is established using the discrete Jensen inequality and delay partitioning technique. Additionally, addressing the mismatched membership functions (MFs) between the system fuzzy model and the controller, this paper adopts a membership function dependency approach, effectively resolving the problem of mismatched premise variables between the fuzzy model and the controller. Finally, the effectiveness of this method is validated through an illustrative example.