Output feedback $H^\infty$ controller design for linear systems with delayed state

Jeong, Eun-Tae;Oh, Do-Chang;Park, Hong-Bae;

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

Volume 3 Issue 2
/
Pages.109-114
/
1997
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1976-5622(pISSN)
/
2233-4335(eISSN)

Institute of Control, Robotics and Systems (제어로봇시스템학회)

Output feedback $H^\infty$ controller design for linear systems with delayed state

상태지연 선형시스템에 대한 출력되먹임 $H^\infty$ 제어기 설계

Jeong, Eun-Tae (Changwon National University) ;
Oh, Do-Chang (Changwon National University) ;
Park, Hong-Bae ( Dept.of Electronics Electrical Engineering, Kyungpook National University)

정은태 (창원대학교) ;
오도창 (창원대학교) ;
박홍배 (경북대학교 전자.전기공학부)

Published : 1997.04.01

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Abstract

In this paper, we present an output feedback $H^\infty$controller design method and derive the sufficient condition of the bounded real lemma for linear systems with multiple delays in states. For state delayed systems, sufficient conditions for the existence $\kappa$-th order $H^\infty$controllers are given in terms of three linear matrix inequalities(LMIs). Furthermore, we show how to construct such controllers from the positive definite solutions of their LMIs and given an example to illustrate the validitiy of the proosed design procedure.

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References

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