Finite-time L2-L∞ control of semi-Markov jump system under adaptive event-triggered scheme
XU Wen-hao
SHI Ting
Abstract：This article builds a continuous time semi-Markov jump system using a variant of Markov process called a semi-Markov process and investigates the finite-time L2-L∞ control problem for it.Firstly,in order to handle the limited network bandwidth,an adaptive event-triggered scheme is applied in the sensor-to-controller network with the aim of reducing the frequency of data transmission and the communication burden.Next,considering the unavailability of the plant mode,a new mode is used to obtain an estimation,upon which the asynchronous control problem is studied.Moreover,the external disturbance is also taken into consideration.Then the L2-L∞ performance index is introduced,based on which the finite-time L2-L∞ control problem is investigated.The main objective is to determine a controller that ensures stability of the closed-loop system with a certain level of performance while reducing the communication burden to some extent.By employing Lyapunov theory,the state-feedback control algorithm is obtained.Finally,a RLC circuit is used to verify the effectiveness of the theoretical findings.
Keywords：Markov processsemi-Markov jump systemsfinite-time controladaptive event-triggeredasynchronous controlclosed loop systemsstate feedback
Publication Date：2025-04-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 722-730 )