The Transactions of the Korean Institute of Electrical Engineers A (대한전기학회논문지:전력기술부문A)

The Korean Institute of Electrical Engineers (대한전기학회)
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Robust Guaranteed Performance Control of Uncertain Linear Systems

불확정성 선형 시스템의 강인 성능 보장 제어

  • 김진훈 (충북대 공대 제어계측공학과)
  • Published : 1999.05.01
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Abstract

The robust control problem of the linear systems with uncertainty is classified as the robust stability problem guaranteeing the stability and the robust performance problem guaranteeing the disired performance. In this paper, we considered the robust performance analysis problem, which find the upper buund of the quadratic performance of the uncertain linear system, and the robust guaranteed performance controller design problem which design a controller guaranteeing the desired quadratic performance. At first, we treated the analysis problem and presented the two results; one is dependent on the performance of the nominal system and another is independent on this. And we treated the design method guaranteeing the desired performance for the uncertain linear systems, Finally, we show the usefulness of our results by numerical examples.

Keywords

References

  1. Proc. Joint Automic Control Conference v.TP8-A Quantitative measures of robustness for multivariable systems R.V. Patel;M. Toda
  2. Int. J. Control v.42 Perturbation bounds for robust stability in linear state space models R.K. Yedavalli
  3. IEEE Trans. Automat. Contr. v.AC-34 no.11 A note on robust stability bounds M. E. Sezer;D. D. Siljak
  4. IEEE Trans. Autom. Control v.37 no.10 A Robust Stability Bound of Linear Systems with Structured Uncertainty Z. Bien;J.-H. Kim
  5. IEEE Trans. Autom. Control v.17 Adaptive guaanteed cost control of systems with uncertain parameters S.S.L. Chang;T.K.C. Peng
  6. IEEE Trans. Autom. Control v.34 LQG control with an H∞ performance bound: A Riccati equation approach D.S. Bernstein;W.M. Haddad
  7. Int. J. Control v.52 Robust stability and performance of systems with structured and bounded uncertainties: and extension of the guarateed cost control approach O.I. Kosmidou
  8. IEEE Trans. Autom. Control v.39 Optimal Guaranteed cost control and filtering for uncertain linear systems I.R. Peterson;D.C. McFarlane
  9. Proc. IEE, Pt. D Guaranteed Cost LQG control of Uncertain Linear Systems I.R. Petersen
  10. Automatica v.32 Optimal guaranteed cost control of uncertain systems vja static and dynamic output feedback S.O.R. Moheimani;I.R. Petersen
  11. Proc. of 13th Triennial World Congree A linear matrix inequality approach for guaranteed cost control A. Fishman, J.M. Dion;L. Dugard;A.T. Neto
  12. IEEE Trans. Autom. Control v.41 Robust stability of linear systems with delayed perturbations J.-H. Kim
  13. Duke Math. J. v.23 Extreme properties of eigenvalues of a hermitian transformation and singular values of the sun and product of linear transformations A. R. Amir-Moez
  14. Linear Optimal control systems H. Kwakernaak;R. Sivan
  15. Linear robust control M. Green;D.J.N. Limebeer