A novel adaptive event-triggered reliable $ H_\infty $ control approach for networked control systems with actuator faults

Xingyue Liu; Kaibo Shi; Yiqian Tang; Lin Tang; Youhua Wei; Yingjun Han; Xingyue Liu; Kaibo Shi; Yiqian Tang; Lin Tang; Youhua Wei; Yingjun Han

doi:10.3934/era.2023095

Electronic Research Archive

2023, Volume 31, Issue 4: 1840-1862. doi: 10.3934/era.2023095

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A novel adaptive event-triggered reliable $ H_\infty $ control approach for networked control systems with actuator faults

1.
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
2.
Key Laboratory of Intelligent Manufacturing Quality Big Data Tracing and Analysis of Zhejiang Province, China Jiliang University, Hangzhou 310018, China
3.
Engineering Research Center of Power Quality of Ministry of Education, Anhui University, Hefei 230601, China
4.
Geomathematics Key Laboratory of Sichuan Province, Chengdu University of Technology, Chengdu 610059, China
5.
Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China
6.
China Tobacco Sichuan Industrial Co. LTD Chengdu Cigarette Factory, Chengdu 610066, China

Received: 30 November 2022 Revised: 15 January 2023 Accepted: 28 January 2023 Published: 08 February 2023

In this paper, a reliable $ H_\infty $ control approach under a novel adaptive event-triggering mechanism (AETM) considering actuator faults for networked control systems (NCSs) is addressed. Firstly, the actuator faults are described by a series of independent stochastic variables obeying a certain probability distribution. Secondly, a novel AETM is presented. The triggering threshold can be dynamically adjusted according to the fluctuating trend of the current sampling state, resulting in saving more limited network resources while preserving good control performance. As a result, considering the packet dropout and packet disorder caused by the communication network, the sampling-data model of NCSs with AETM and actuator faults is constructed. Thirdly, by removing the involved auxiliary function and replacing it with a sequence of integrals only related to the system state, a novel integral inequality can be used to reduce conservatism. Thus, a new stability criterion and an event-triggered reliable $ H_\infty $ controller design approach can be obtained. Finally, the simulation results are presented to verify the progressiveness of our proposed approach.
- reliable $ H_\infty $ control approach,
- adaptive event triggering mechanism,
- actuator faults,
- networked control systems,
- stability criterion
Citation: Xingyue Liu, Kaibo Shi, Yiqian Tang, Lin Tang, Youhua Wei, Yingjun Han. A novel adaptive event-triggered reliable $ H_\infty $ control approach for networked control systems with actuator faults[J]. Electronic Research Archive, 2023, 31(4): 1840-1862. doi: 10.3934/era.2023095

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Abstract

In this paper, a reliable $ H_\infty $ control approach under a novel adaptive event-triggering mechanism (AETM) considering actuator faults for networked control systems (NCSs) is addressed. Firstly, the actuator faults are described by a series of independent stochastic variables obeying a certain probability distribution. Secondly, a novel AETM is presented. The triggering threshold can be dynamically adjusted according to the fluctuating trend of the current sampling state, resulting in saving more limited network resources while preserving good control performance. As a result, considering the packet dropout and packet disorder caused by the communication network, the sampling-data model of NCSs with AETM and actuator faults is constructed. Thirdly, by removing the involved auxiliary function and replacing it with a sequence of integrals only related to the system state, a novel integral inequality can be used to reduce conservatism. Thus, a new stability criterion and an event-triggered reliable $ H_\infty $ controller design approach can be obtained. Finally, the simulation results are presented to verify the progressiveness of our proposed approach.

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