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

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.

Keywords:

• robust output feedback
• network-induced delay
• linear matrix inequality
• networked control systems

Acknowledgements

This study is supported by the Australia-China Special Fund for Scientific & Technological Cooperation (CH060018 and 071107037), the Specialised Research Fund for the National Science Foundation of China (60874005, 11072144, 61025016, 61034008), the Doctoral Programme of Higher Education (20070248010).