Static output feedback control of networked control systems with packet dropout

Abstract

This article deals with the problem of mean square stability of discrete-time networked control systems (NCSs) over a communication channel subject to packet dropout. By introducing a parameter-independent slack variable with lower triangular structure, the existence of a static output feedback controller is formulated in the form of linear matrix inequalities. Neither equality constraint nor iterative algorithm is involved through the derivation of the controller. Furthermore, a new algorithm is proposed to obtain the admissible packet dropout probability bound for the given controller gain. This is particularly important in the co-design of controller and scheduling for NCSs. The simplicity of the methods is demonstrated by numerical examples.

Keywords:

• static output feedback
• LMI
• APDPB
• scheduling
• co-design

Acknowledgements

This research was partially supported by the National Natural Science Foundation of P.R. China under Grant Nos. 60704021 and 61074039 and the Natural Science Foundation of Zhejiang Province, P.R. China, under Grant No. Y1100845.