H_∞ optimal control of linear time-varying systems withtime-varying delay via a controllability approach

摘要

This paper addresses the H_∞optimal control problem for a class of uncertain linear time-varying delaysystems. The interesting features here are that the system in consideration is non-autonomous, the state delay is time-varying, and the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. Based onthe Lyapunov-Krasovskii functional method, we show that the H_∞optimal control problem for the system has a solution ifsome appropriate linear control delay-like system is globally controllable.