Fuzzy adaptive-event-triggered control for semi-linear parabolic PDE systems with stochastic actuator failures

Xiaona Song, Renzhi Zhang, Shuai Song and Yijun Zhang

Applied Mathematics and Computation, 2022, vol. 426, issue C

Abstract: This paper investigates the fault-tolerant control problem for fuzzy semi-linear parabolic PDE systems with stochastic actuator failures. First, a pointwise measurement-based adaptive-event-triggered control scheme is newly proposed for semi-linear PDE systems to reduce the waste of communication resources. Second, by introducing a more practical semi-Markov jump model describing the random occurring actuator failures, the closed-loop system is exactly represented by a T–S fuzzy PDE model with semi-Markovian switching parameters. Moreover, by constructing a suitable LKF including an improved looped-functional and using some advanced inequalities, sufficient stability conditions with less conservatism are established. Finally, two simulation examples including comparative studies are employed to demonstrate the superiority and effectiveness of the developed method.

Keywords: Semi-linear parabolic PDE systems; Pointwise measurements; Adaptive-event-triggered control; Stochastic actuator failures; Fault-tolerant control (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002119

DOI: 10.1016/j.amc.2022.127127

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