Title: H_∞ control of asynchronous networked control systems with Markov time delays

Authors: Xiao-qiang Sun; Wei-jie Mao

Addresses: Department of Control Science and Engineering, Zhejiang University, Hangzhou, China ' Department of Control Science and Engineering, Zhejiang University, Hangzhou, China

Abstract: In this paper, the solutions to the H_∞ synthesis problems of stochastic asynchronous discrete-time (DT) networked control systems (NCSs) with random communication time delays are proposed according to the following steps. Firstly, a new Lyapunov-Krasovskii functional is explicitly constructed to analyse the stochastic stability of the systems. Both sensor-to-controller (S-C) and controller-to-actuator (C-A) random networked-induced delays, which are two Markov chains, are considered in the analysis. Moreover, the stochastic sampling of S-C and holding of C-A are also considered in the analysis. Secondly, based on a specified definition of the state with delay and a more rigorous inequality, sufficient delay-dependent stability conditions can be transformed into the form of linear matrix inequalities (LMIs), the LMIs can be conveniently solved by LMI tools. Finally, the proposed theory is validated by a simulation example.

Keywords: H_∞ synthesis; DT asynchronous system; networked control; random delay; stochastic sampling and holding; delay-dependent LMIs; Markov chain.

DOI: 10.1504/IJAAC.2019.101909

International Journal of Automation and Control, 2019 Vol.13 No.5, pp.548 - 568

Received: 04 Oct 2017
Accepted: 05 Mar 2018
Published online: 30 Aug 2019 *

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