Robust output feedback control for networked control systems based on the occurrence probabilities of time delays

Chenyu Guo, Weidong Zhang and Jie Bao

International Journal of Systems Science, 2011, vol. 43, issue 2, 259-271

Abstract: This article is concerned with the problem of robust H∞ output feedback control for a kind of networked control systems with time-varying network-induced delays. Instead of using boundaries of time delays to represent all time delays, the occurrence probability of each time delay is considered in H∞ stability analysis and stabilisation. The problem addressed is the design of an output feedback controller such that, for all admissible uncertainties, the resulting closed-loop system is stochastically stable for the zero disturbance input and also simultaneously achieves a prescribed H∞ performance level. It is shown that less conservativeness is obtained. A set of linear matrix inequalities is given to solve the corresponding controller design problem. An example is provided to show the effectiveness and applicability of the proposed method.

Date: 2011
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DOI: 10.1080/00207721.2010.488761

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