Stability and Stabilization of Model Based Networked Control Systems with Multiplicative Noise

Abstract

In this paper, stability and stabilization of Model Based Networked Control Systems (MB-NCS) with multiplicative noise are considered. A necessary and sufficient condition for stability of the system is derived via lifting approach. Then, a sufficient condition for obtaining a stabilizing feedback gain is also established by using convex approximations. Both conditions have a form of linear matrix inequality (LMI), so numerical solutions are easily given via convex optimization. Numerical examples illustrate capability for the proposed gain design.