Asynchronous Adaptive Fault-Tolerant Control for Markov Jump Systems with Actuator Failures and Unknown Nonlinear Disturbances

Abstract

This article investigates an asynchronous adaptive fault-tolerant control problem for Markov jump systems (MJSs) with actuator failures and absolutely unknown nonlinear disturbances. The hidden Markov model (HMM) is used to describe the asynchronization phenomenon between the controller and the modes of the original system. Moreover, by using the designed adaptive law, the values of actuator partial failures and the bounds of the unknown nonlinear disturbances can be estimated, respectively. Furthermore, the HMM-based asynchronous adaptive fault-tolerant controller is provided to ensure that the closed-loop system is asymptotically stable despite of unknown nonlinear disturbances. Finally, numerical examples are given to show the effectiveness of the proposed method.

Asynchronous Adaptive Fault-Tolerant Control for Networked Stochastic Unmanned Surface Vehicles with Multiple Types of Actuator Faults

“…Hence, Θ −1 p (t)will be not defined well. So the introduction of parameter ρ(t) is indispensable, which is not considered in [29,34].…”

“…□ Remark 9. In eorem 1, a sufficient condition is derived by introducing Lyapunov-Krasovskii functional (34) to guarantee the uniformly ultimate boundedness of the solutions of NSUSVs (25) with the multiple types of actuator faults and external disturbance. Moreover, the designed controller is based on the releasing state of adaptive event-triggered mechanism (5) and the online estimation of proposed augmented disturbance (18).…”

“…However, it is gratifying that the adaptive faulttolerant control approach can solve this kind of hybrid actuator faults [40][41][42]. As a matter of fact, the adaptive fault-tolerant control approach, as a branch of AFTC, can compensate for the failures well by reconstructing a new controller online by forming a suitable fault-tolerant control law (for details, see [29,31,[33][34][35][36][37][40][41][42][43] and references therein), which is the second motivation of this paper. e purpose of this paper is to design an adaptive faulttolerant controller for NSUSVs that suffer from external disturbance and multiple types of actuator faults.…”

“…e concentration on actuator failure has been increasing in recent decades. For instance, the study on partial failures of actuators has been vastly proposed in [28][29][30][31][32][33][34]. e problem regarding actuator bias faults has been discussed in [35][36][37][38].…”

Event-triggered asynchronous H∞ fault-tolerant control for discrete-time Markov jump system with actuator faults

“…In recent decades, a swarm of researchers interested in the failed actuators has rushed in. For example, the issue involving partial fault of actuators has been vastly proposed, 15–23 and the project regarding actuator bias fault has been discussed in Ma and Yang. 24 Besides, the work by Zhao et al 25 has solved the non-fragile fault-tolerant control for a class of nonlinear MJS, where the multiple Markov chains are introduced to model the multiple intermittent actuator faults.…”