Robust $H^{\infty}$ Control for State Delayed Linear Systems with Uncertainties

불확실하고 상태변수의 지연이 있는 시스템에 대한 $H^{\infty}$ 제어기

  • Lee, Jae-Won (Engineering Research Center for Advanced Contr. and Instr., Seoul National University) ;
  • Lee, Joon-Hwa (Engineering Research Center for Advanced Contr. and Instr., Seoul National University) ;
  • Kwon, Wook-Hyun (Engineering Research Center for Advanced Contr. and Instr., Seoul National University)
  • 이재원 (서울대학교 제어계측 신기술연구센터) ;
  • 이준화 (서울대학교 제어계측 신기술연구센터) ;
  • 권욱현 (서울대학교 제어계측 신기술연구센터)
  • Published : 1993.07.18

Abstract

In this paper, we present a robust $H^{\infty}$ controller for a state delayed system with uncertainties. The unstructured and norm bounded uncertainties enter into both the state and the input matrix, where the matching condition of the uncertainties is not assumed. A robust stabilization condition and also a robust $H^{\infty}$ stabilization condition are suggested. The robust $H^{\infty}$ controller is obtained by solving a Riccati equation which is derived from the suggested robust $H^{\infty}$ stabilization condition.

Keywords