Stabilization of a class of remote control systems and its robust stability analysis

Abstract

In this paper, the stabilization of one class of remote control systems with time delays is first analyzed and then designed by using LMI techniques. Its robust design with respect to system parametric uncertainties, and its robust analysis with respect to nonlinear additive uncertainties and time delay uncertainties are discussed. The system under investigation is a cascade system with two subsystems, controlled by a remote controller with static gains. The motivation of this work is to explore the problem of distributed networked control systems; here we start the discussion of a simple cascade system. Static controller designs based on delay-dependent stability conditions are presented, which is proven to be less conservative than the conventional one. This design is then extended to the case when parametric uncertainties exist. Furthermore, sufficient stability conditions are derived for the system with norm-bounded nonlinear additive uncertainties and time delay variations. Finally, simulation examples are presented to show the effectiveness of the proposed method and to demonstrate the stability condition test for uncertain systems.