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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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$H_{\infty)$ Control of Linear Delay Systems

시간지연 선형시스템의 $H_{\infty)$ 제어

  • Jeung, Eun-Tae (Changwon National University) ;
  • Kwon, Sung-Ha (Changwon National University) ;
  • Kim, Jong-Hae (Dept.of Electronics Electrical Engineering, Kyungpook National University) ;
  • Park, Hong-Bae (Dept.of Electronics Electrical Engineering, Kyungpook National University)
  • 정은태 (창원대학교 제어계측공학과) ;
  • 권성하 (창원대학교 제어계측공학과) ;
  • 김종해 (경북대학교 전자전기공학부) ;
  • 박홍배 (경북대학교 전자전기공학부)
  • Published : 1998.04.01
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Abstract

This paper presents an $H_{\infty)$ output feedback controller design method for linear systems with delayed state, delayed control input, and delayed masurement output. Using a Lyapunov functional, the stability for delayed systems is discussed independently of delays. Also, sufficient condition for the existence of $H_{\infty)$ controllers of any order is given in terms of three linear matrix inequalities(LMIs). Based on positive definite solutions of their LMIs, we briefly explain the way to construct $H_{\infty)$ controller, which stabilizes time-delay systems independently of delays and guarantees an $H_{\infty)$norm bound.

Keywords

References

  1. IEEE Trans. Automatic Control v.34 no.8 State-space solutions to standard H₂and $H_∞$ control problems J. C. Doyle;K. Glover;P. P. Khargonekar;B. A. Francis
  2. Int. J. Robust and Nonlinear Control v.4 A linear matrix inequality approach to $H_∞$ control P. Gahinet;P. Apkarian
  3. Automatica v.30 no.8 All controllers for the general $H_∞$ control problem : LMI existence conditions and state space formulas T. Iwasaki;R. E. Skelton
  4. IEEE Trans. Automatic Control v.39 no.1 Memoryless $H_∞$ controllers for state delayed systems J. H. Lee;S. W. Kim;W. H. Kwon
  5. Automatica v.31 no.6 Memoryless $H_∞$ controller design for linear systems with delayed state and control H. H. Choi;M. J. Chung
  6. 제어 · 자동화 · 시스템공학회 논문지 v.2 no.1 시간지연을 가지는 선형 시스템에 대한 상태궤환 $H_∞$ 제어 정은태;이갑래;이재명;박홍배
  7. 제어·자동화·시스템공학회 논문지 v.3 no.2 상태지연 선형시스템에 대한 출력되먹임 $H_∞$ 제어기 설계 정은태;오도창;박홍배
  8. IEEE Trans. Automatic Control v.42 $H_∞$ output feedback controller design for linear systems with time-varying delayed state E. T. Jeung;J. H. Kim;H. B. Park
  9. Int. J. Control v.64 no.1 $H_∞$ control via output feedback for state delayed systems J.-H. Ge;P. Frank
  10. Automatica v.32 no.7 Observer-based $H_∞$ controller design for linear time-delay systems H. H. Choi;M. J. Chung
  11. Automatica v.33 no.4 An LMI approach to $H_∞$ controller design for linear time-delay systems H. H. Choi;M. J. Chung
  12. Time Delay Systems:Analysis, Optimization and Applications, Systems and Control Series v.9 M. Malek-Zavarei;M. Jamshidi
  13. SIAM Studies in Applied Mathematics v.15 Linear Matrix Inequalities in System and Control Theory S. Boyd;L. E. Ghaoui;E. Feron;V. Balakrishnan
  14. Proc. 30th IEEE Conf. on Decision and Control A collection of robust control problems leading to LMI's A. Packard;K. Zhou;P. Pandey;G. Becker