Journal of Electrical Engineering and information Science

The Korean Institute of Electrical Engineers (대한전기학회)
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H^$\infty$ Control for Linear Systems with Delayed Sate and Control

  • Jeung, Eun-Tae (Department of Control nd Instrumentaion Enginering, Changwon National University) ;
  • Oh, Do-Chang (Department of Electronic Information, Konyang University) ;
  • Park, Hong-Bae (School of Electronic and Electrical Engineering, Kyungpook National University)
  • Published : 1997.10.01
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Abstract

This paper presents an H\ulcorner controller design method for linear time-invariant systems with delayed state and control. Using the second method of Lyapunov, the stability for delayed systems is discussed. For delayed systems, we derive a sufficient condition of the bounded real lemma(BRL) which is similar to GBRL for nondelayed systems. And the sufficent conditions for the existence of an H\ulcorner controller of any order are given in terms of three linear matrix inequalities(LMIs). Further, we briefly explain how to construct such controllers from the positive definite solutions of their LMIs and gie a simple example to illustrate the validity of the proposed design procedure.

Keywords

References

  1. IEEE Trans. Automit. Contr v.34 no.8 Stste-space solutions to standard H₂and H∞ control problems J.C.Doyle;K.Glover;P.P.Khargonekar;B.AFrancis
  2. Proc. IEEE Cof. Dec. Contr. An LMI-based parameterization of all H∞ controllers with applications 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.Iwasak;R.E.Skelton
  4. IEEE Trans. automat. Contr. 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. IEEE Trans. automat. Contr. v.32 no.5 Disturbance attenuation and H∞ optimization A design method based on the algebric Riccati equation I.R.Petersen
  7. Linear Matrix Inequalities in System and Control Theory S.Boyd;L.E.Ghaoui;e.Feron;V.balakrishan
  8. Proc. IEEE Cof. Dec. Contr. A collection of robust control problems leading to LMI's A.Packard;K.Zhou;P.Pandey;G.Becker
  9. IEEE Trans. Automit. Contr v.39 no.5 Design of roust conreollers for time-delay systems M.S.Mahmoud;N.F.Al-muthairi
  10. IEEE Trans. Automit. Contr v.36 no.5 Memoryless stabilization of uncertain dynamic delay systems: Riccari equation approach J.C.Shen;B.S.Chen;F.C.Kung