Modelling and control of Zigbee-based wireless networked control system with both network-induced delay and packet dropout

Abstract

A new stochastic switched linear model is established to describe the Zigbee-based wireless networked control system (WNCS) with both network-induced delay and packet dropout. The network-induced delay can be less or longer than one sampling period. A sufficient condition is presented for the exponentially mean square stability of the closed-loop WNCS, and corresponding state feedback controller is designed by using the augmenting technique and multi-Lyapunov approach. Then, combined with carrier sense multiple access with collision avoidance (CSMA-CA) algorithm, a method is given to choose proper parameter values. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

Keywords:

• wireless network control system
• stochastic switched system
• network-induced delay
• packet dropout
• state feedback controller

Acknowledgements

The authors thank the reviewers for their very helpful comments and suggestions, which have improved the presentation of this article. This study is supported by the State Key Program of National Natural Science of China under grant 61134007. The National Natural Science Foundation of China under grant 61104102 and 61174029.