The Event-Triggered Resilient Control of Discrete-Time Nonlinear Semi-Markov Jump Systems Based on Incremental Quadratic Constraints

Shuguang Liu, Yueyuan Zhang () and Yuan Sun ()
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Shuguang Liu: School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China
Yueyuan Zhang: School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China
Yuan Sun: School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China

Mathematics, 2024, vol. 12, issue 14, 1-16

Abstract: This paper explores resilient control problems for discrete-time nonlinear semi-Markov jump systems characterized by incremental quadratic constraints. Considering the system’s uncertainties and external environmental factors, mode-dependent resilient controllers are developed to ensure the system’s mean-square stability. A proposed event-triggering mechanism is suggested to alleviate the communication burden within the system. Additionally, the system’s nonlinearity is characterized by using incremental quadratic constraints to derive a less conservative feasible solution. Sufficient conditions for the system’s mean-square stability are established by employing the Lyapunov stability theory. Finally, a numerical simulation example is given to prove the conclusion’s validity.

Keywords: semi-Markov jump system; event-trigger control; resilient control; incremental quadratic constraints (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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