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Event-based Finite-time Boundedness of Discrete-time Network Systems

Yingqi Zhang*, Miaojun Zhan, Yan Shi, and Caixia Liu
International Journal of Control, Automation, and Systems, vol. 18, no. 10, pp.2562-2571, 2020

Abstract : This paper deals with the event-based finite-time H∞ control problem of discrete-time network control systems with norm bounded input disturbances and nonlinear stochastic functions. A network-induced delay stochastic model is first constructed by an event-triggered approach. Utilizing stochastic analysis and eventtriggered schemes, conditions on stochastic finite-time (FT) boundedness and stochastic H∞ FT boundedness are then derived for the network model. Subsequently, an event-based finite-time controller and an event-triggered matrix are co-designed to ensure that the stochastic model is stochastically FT bounded or stochastically H∞ FT bounded by utilizing a matrix decomposition scheme. All derived criteria can be solved in terms of convex optimal method, and numerical examples demonstrate the validity of obtained results as well.

Keyword : Event-based control, network control systems, network-induced delay, stochasticaly finite-time boundedness.

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