Mixed passive / H_∞ hybrid control for delayed Markovian jump system with actuator constraints and fault alarm

Abstract

Summary In this paper, mixed passive / H∞ hybrid controllers are designed for a delayed Markovian jump system with actuator constraints and alarm signal. The actuator constraints include the unknown actuator bias failure and the actuator partial failure, and the controllers are switched by using alarm signals. First, a sufficient condition for mixed passive / H∞ performance of the closed‐loop system is constructed, and robust controllers and fault‐tolerant controllers are designed, respectively. Then, mixed passive / H∞ observers are presented to ensure that the actuator bias failure is well estimated. Next, an alarm system is proposed by designing multiple thresholds to avoid false alarm, and this system is used to invoke suitable controllers and determine whether to remove the estimated value of actuator bias failure. Finally, two numerical examples are given to illustrate the effectiveness of the method.

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

“…e following failure condition is considered in the simulations: before 60 seconds, the system is running with the disturbances ω(t) � [−0.02 sin (0.1t) − 0.25, 0.03 sin(0.3t), e −0.5t sin(0.07t) − 0.1 sin(0.01x 1 (t)) + 0.25] T , and there is no actuator failure which means ρ � diag [1,1]. At 60 seconds, some failures in the actuators have occurred, described by ρ � diag[0.4, 0.6].…”

“…In the past few decades, based on the characteristic and its remarkable modeling capabilities, the MJS has received considerable attractions and a number of results have been published. For instance, the stability and controllability of the MJS are studied in [1][2][3][4][5]. Afterwards, more in-depth research studies of the MJS were carried out, such as H ∞ control, robust fault-tolerant control, guaranteed cost control, and sliding mode control [6][7][8][9][10].…”

Adaptive event‐triggered asynchronous fault‐tolerant control for stochastic systems with multiple‐types of failures

“…However, in actual control systems, there are many types of actuator failures, which includes the partial fault, stuck fault, and bias fault 38 . Note that the authors of Reference 39 has investigated actuator failures problem including the actuator partial fault and the actuator bias fault; however no stuck fault is taken into account. Reference 40 proposed a fault‐tolerant consensus controller for a general nonlinear multiagent system subject to actuator faults and disturbed and faulty networks.…”

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.…”