Stabilization for linear uncertain system with time latency

Abstract

Recently, various remote control systems through the public Internet have been broadly applied in factory automation, information appliance (IA), surgery, space exploration, the military, and also in our daily life. However, the time delay is unavoidable when the remote control systems through the Internet are distant from each other in the remote locations. Time delay usually causes control systems to become unstable or fail, even if the system is stable under no time delay. In this paper, stabilization for a class of linear uncertain systems with time latency is considered. The proposed control is based on the optimal control for its delay-free linear system with quadratic performance index. A Lyapunov functional theorem is used in the proof of our main result. A delay-dependent criterion is provided to guarantee asymptotic stabilizability for time-latency systems.