Fuzzy adaptive-event-triggered control for semi-linear parabolic PDE systems with stochastic actuator failures
Fuzzy adaptive-event-triggered control for semi-linear parabolic PDE systems with stochastic actuator failures
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DOI：
10.1016/j.amc.2022.127127
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发表时间：
2022-08
期刊：
影响因子：
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通讯作者：
Xiaona Song;Renzhi Zhang;Shuai Song;Yijun Zhang
中科院分区：
文献类型：
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作者：
Xiaona Song;Renzhi Zhang;Shuai Song;Yijun Zhang
研究了具有随机执行器故障的模糊半线性抛物型PDE系统的容错控制问题。首先，针对半线性PDE系统提出了一种基于逐点测量的自适应事件触发控制方案，以减少通信资源的浪费。其次，通过引入一个更实用的半马尔可夫跳变模型描述随机发生的执行器故障，闭环系统精确地表示为T-S模糊PDE模型的半马尔可夫切换参数。此外，通过构造一个合适的LKF，包括一个改进的循环功能和使用一些先进的不等式，充分稳定性条件，具有较小的保守性。最后，通过两个仿真算例的对比研究，验证了该方法的优越性和有效性。
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.