Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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State Feedback $H^{\infty}$ Controller Design for Linear Systems with Time-delays

시간지연을 가지는 선형 시스템에 대한 상태궤환 $H^{\infty}$제어기 설계

  • Jeong, Eun-Tae (Dept.of Electronics Electrical Engineering, Kyungpook National University) ;
  • Lee, Gap-Rae (Dept.of Electronics Electrical Engineering, Kyungpook National University) ;
  • Lee, Jae-Myeong (Agency for Defense Development) ;
  • Park, Hong-Bae (Dept.of Electronics Electrical Engineering, Kyungpook National University)
  • 정은태 (경북대학교 전자.전기공학부) ;
  • 이갑래 (경북대학교 전자.전기공학부) ;
  • 이재명 (국방과학연구소) ;
  • 박홍배 (경북대학교 전자.전기공학부)
  • Published : 1996.03.01
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Abstract

This paper presents a state feedback $H^{\infty}$ controller design method for linear systems with delayed states and inputs. We derive a sufficient condition that the closed-loop system is asymptotically stable for all time-delays and that the $H^{\infty}$-norm of the closed-loop transfer function is less than or equal to some prescribed level $\gamma$. And we propose a sufficient condition for the existence of a state feedback $H^{\infty}$ controller using a form of linear matrix inequality(LMI). Furthermore, we show that the state feedback $H^{\infty}$ controllers can be obtained from solutions satisfying LMI.

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