Improved results on BIBO stability and stabilization of networked control systems with short time-varying delays

Abstract

Based on the multiple nominal points method (MNPM), the problems of BIBO stability and BIBO stabilization for networked control systems (NCSs) with short time-varying delays (STVDs) are researched, and some improved results are obtained in this article. Using the single nominal point method, a NCS with STVDs is modeled as a time-varying uncertain discrete system, in which the uncertain parameters are norm bounded and with single nominal point. Applying the small gain theorem to this model, an improved BIBO stability criterion of the NCS is obtained. To further reduce the conservativeness arising from STVDs, the uncertain parameters are modeled as N norm bounded uncertainties based on the MNPM. The presented stability criteria depend on the bounds of STVDs. Furthermore, the controller design methods are also provided. A numerical example is given to show that the proposed methods are better than existing ones.