DOI: 10.3724/SP.J.1004.2012.00876

Acta Automatica Sinica (自动化学报) 2012/38:5 PP.876-881

Mean Square Exponential Stabilization of Markov Networked Control Systems Based on Switching Frequentness

This paper considers the mean square exponential stabilization for networked control systems (NCSs) based on a class of Markov models. Firstly, networked control systems are modeled as a discrete-time switched system of which the switching sequence is governed by a Markov chain with known transition probability matrix, and then a method is proposed to calculate switching frequentness. By combining the stochastic process theory as well as the switched systems stability theory, a mean square exponential stabilization method is presented. The state feedback control law can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed result.

Key words:Networked control systems (NCSs), mean square exponential stabilization, data packet dropout, Markov chain

ReleaseDate:2014-07-21 16:26:40

Funds:Supported by National Natural Science Foundation of China (60904016, 61074032, 60904097), Shanghai Rising-Star Program (11 QA1402500), and Excellent Youth Scholar of High Education of Shanghai

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