Mean Square Stability of Model Based Networked Control Systems with Multiplicative Noise

Abstract

This paper presents a necessary and sufficient condition of mean square stability of a model based networked control systems (MB-NCS) with multiplicative noise, where a linear discrete time plant is controlled by using a model state feedback. The lifting approach is employed, and the original time varying system is recast as an equivalent time invariant system whose mean square stability is investigated. The necessary and sufficient condition derived here is given as a set of a linear matrix inequality and linear equations, which enjoys an advantage on numerical computation.