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Technical Briefs

H Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains

[+] Author and Article Information
Chenyu Guo

e-mail: cyguo@sjtu.edu.cn

Weidong Zhang

e-mail: wdzhang@sjtu.edu.cn

Department of Automation,
Shanghai Jiao Tong University, and
Key Laboratory of System Control and
Information Processing,
Ministry of Education of China,
Shanghai 200240, People's Republic of China

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received May 6, 2011; final manuscript received August 29, 2012; published online December 21, 2012. Assoc. Editor: Rama K. Yedavalli.

J. Dyn. Sys., Meas., Control 135(1), 014508 (Dec 21, 2012) (16 pages) Paper No: DS-11-1138; doi: 10.1115/1.4007973 History: Received May 06, 2011; Revised August 29, 2012

This paper is concerned with the problem of H estimation for networked control systems. Time delays and packet dropouts are considered simultaneously. The occurrence probability of each time delay is considered. The packet dropouts have the Bernoulli distributions. The system is modeled as Markovian jump linear systems with partly unknown transition probability. State observer is designed to estimate the practical state with H feature. The estimation problem is cast into a set of linear matrix inequalities. An example is provided to illustrate the effectiveness and applicability of the proposed method.

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Figures

Grahic Jump Location
Fig. 1

The error between x(k) and estimation of mode 1

Grahic Jump Location
Fig. 2

The error between x(k) and estimation of mode 2

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