Dynamic Output Feedback Control for Uncertain Networked Control Systems

Abstract

This chapter investigates the stabilization problem for a class of uncertain NCSs with random communication network-induced delays. The synthesis design procedure of a robust dynamic output feedback controller for linear NCSs is presented in this chapter. The sampling effects and the resulting system delays are incorporated into the design procedure. A system transformation approach is applied to convert the hybrid system which consists of both continuous and discrete signals into a system in the continuous realm. Based on the Lyapunov–Razumikhin method, the existence of such a controller is given in terms of the solvability of BMIs. An iterative algorithm is proposed to change this non-convex problem into quasi-convex optimization problems, which can be solved effectively by available mathematical tools. An illustrative example is given along with the theoretical presentation.