Delays-independent stability analysis of networked and quantized control system

This paper describes a system for the stability analysis of the uncertain systems subject to quantization and time-delays. The technique used is to employ a newly developed and versatile Lyapunov function analyzing approach for network-ed and quantized control systems (NQCSs). The common aim is to demonstrate that a unified study of quantization and delay effects in an uncertain system is possible by merging the quantized control law and a Lyapunov-Krasovskii functional. A new delays-independent stability criterion is derived in terms of linear matrix inequality (LMI) which can be easily solved. Moreover, a sufficient condition for the existence of a guaranteed cost contro-ller for NQCSs is also presented by a set of LMIs. A simulation result is given to illustrate the effectiveness of the proposed method.