시간지연을 가지는 파라미터 불확실성 시스템에 대한 견실 비약성 $H^{\infty}$출력궤환 제어기 설계

Robust and Non-fragile $H^{\infty}$ Output Feedback Controller Design for Parameter Uncertain Systems with Time Delay

This paper describes the synthesis of robust and non-fragile Η$^{\infty}$ output feedback controller for parameter uncertain systems with time delay. The sufficient condition of controller existence, and the design method of robust and non-fragile Η$^{\infty}$ output feedback controller are presented. The obtained conditions can be represented as parameterized LMIs, and PLMIs feasibility problems involve infinitely many LMIs hence are very hard to solve. Therefore, PLMIs are replaced by a finite set of LMIs using relaxation techniques(separated convexity concepts). This method is potentially conservative but often provide practically exploitable solutions of difficult problems with a reasonable computational effort. The compatibility of resulting controller is illustrated by numerical example.