Output feedback guaranteed cost control of networked linear systems with random packet losses

Abstract

This article is concerned with the output feedback guaranteed cost control problem for a class of networked control systems (NCSs) with both packet losses and network-induced delays. The packet-loss processes in the forward channel and the backward channel are modelled as two Markov chains. The dynamic output feedback controllers are considered, and the closed-loop NCS is modelled as a discrete-time Markovian system with two modes and unit time delay. By using a properly constructed Lyapunov function and the state transformation technique, a sufficient condition is derived for the closed-loop NCS to be mean-square exponentially stable and ensure a decay rate that can be tuned according to the packet loss situations in the networks. Moreover, design procedures for the guaranteed cost controllers are also presented based on the obtained stability condition and guaranteed cost performance result. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.

Keywords:

• networked control systems
• packet losses
• time delays
• dynamic output feedback
• guaranteed cost control

Acknowledgements

The associate editor and anonymous reviewers are appreciated for their valuable suggestions to improve the quality of this article. This study was supported by the National Natural Science Funds for Distinguished Young Scholar of China under Grant no. 60525304 and the National Natural Science Funds under Grants no. 60834003 and no. 60704021.