Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems

Xuede Zhou, Shanshan Liu, Yan Wang () and Yong Zhu
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Xuede Zhou: School of Physics and Electronic Engineering, Fuyang Nornal University, Fuyang 236037, China
Shanshan Liu: School of Physics and Electronic Engineering, Fuyang Nornal University, Fuyang 236037, China
Yan Wang: School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China
Yong Zhu: School of Physics and Electronic Engineering, Fuyang Nornal University, Fuyang 236037, China

Mathematics, 2024, vol. 12, issue 17, 1-22

Abstract: This paper studies the output feedback H ∞ control problem of event-triggered Markov-type networked control systems. Firstly, a new Lyapunov–Krasovskii functional is constructed, which contains an event-triggered scheme, Markovian jump system, and quantified information. Secondly, the upper bound of the weak infinitesimal generation operator of the Lyapunov–Krasovskii function is estimated by combining Wirtinger’s-based integral inequality and reciprocally convex inequality. Finally, based on the Lyapunov stability theory, the closed-loop stability criterion of event-triggered Markov-type networked control systems and the design method of the output feedback H ∞ controller for the disturbance attenuation level γ are given in the terms of linear matrix inequalities. The effectiveness and superiority of the proposed method are verified using three numerical examples.

Keywords: event-triggered scheme; Markov-type networked control systems; nework delay; Wirtinger’s-based integral inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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