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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Output feedback $H^\infty$ controller design for linear systems with delayed state

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

  • 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

  1. IEEE Trans. Automatic Control v.34 no.8 State-space solutions to standard H₂and $H^{\infty}$ control problems J. C. Doyle;K. Glover;P. P. Khargonekar;B. A. Francis
  2. Proc. IEEE Conf. Dec. Contr. An LMI-based parametrization of all $H^{\infty}$ controllers with applications P. gahinet;P. Apkarian
  3. Automatica v.30 no.8 All controllers for the general $H^{\intfy}$ control problem: LMI existence conditions and state space formulas T. Iwasaki;R. E. Skelton
  4. IEEE Trans. Automatic Control. v.31 no.8 Weighted sensitivity minimization for delay systems C. Foias;A. Tannenbaum;G. Zames
  5. IEEE Trans. Automatic Control v.39 no.1 Memoryless $H^{\intfy}$ controllers for state delayed systems J. H. Lee;S. W. Kim;W. H. Kwon
  6. Automatica v.31 no.6 Memoryless $H^{\intfy}$ controller design method for linear systems with delayed state and control H. H. Choi;M. J. Chung
  7. North-Holland Systems and Control Series v.9 Time-Delay Systems: Analysis, Optimization and Applications M. Malek-Zavarei;M. Jamshidi
  8. Linear Matrix Inequalities in System and Control Theory S. Boyd;L. E. Ghaoui;E. Feron;V. Balakrishnan
  9. Proc. IEEE Conf. Dec. Contr. A collection of robust control problems leading to LMI's A. Packard;K. Zhou;P. Pandey;G. Becker