H-infinity Continuously Dynamic Output-Feedback Control of Networked Control Systems with Distributed Delays

Abstract

H-infinity optimal control of networked control systems (NCS) with distributed delays and disturbance are studied in this paper. Delays in continuous systems must be discussed separately. Based on continuously dynamic output-feedback controller, NCS with linear time-unvarying object is modeled as a hybrid system. The sufficient condition for sub optimal H-infinity stabilization of the system is derived by making use of Lyapunov-Krasovskii functional. Methods of getting the parameters of sub optimum H-infinity controller and attenuation degree of the system are proposed by solving a set of LMIs with equation constraints, and H-infinity optimal control problem is translated into a problem of minimizing a linear objective. A simulation example is given to illustrate that the analysis method and the results are valid and feasible.