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Original Articles

Guaranteed cost stabilization for a class of uncertain discrete-time systems

Pages 555-561 | Received 26 Jan 1994, Published online: 16 May 2007

REFERENCES

  • BREINL , W. , and MULLER , P. C. , 1982 , Ein parameterunempfindlicher Zustandsbeobachter und seine Anwendung bei einem Tragregelsystem eines Magnetschwebefahrzeugs. Regelungstechnik , 31 , 403 – 411 .
  • CHANG , S. S. L. , and PENG , T. K. C. , 1972 , Adaptive guaranteed cost control of systems with uncertain parameters . IEEE Transactions on Automatic Control , 17 , 474 – 483 .
  • CORLESS , M. , and LEITMANN , G. , 1988 , Controller design for uncertain systems via Lyapunov functions. Proceedings of the 1988 American Control Conference , Atlanta , Georgia, U.S.A. , pp. 2019 – 2025 .
  • SOUZA , C. E. , FU , M. , and XIE , L. J. , 1993 , H" Analysis and synthesis of discrete-time systems with time-varying uncertainty. IEEE Transactions on Automatic Control , 38 , 459 – 462 .
  • HOLLOT , C. V. , and ARABACIOGLU , M. , 1987 , lth step Lyapunov min-max controllers stabilizing discrete systems under real parameter variations. Proceedings of the 1987 American Control Conference , Minneapolis , Minnesota, U.S.A ., pp. 496 – 501 .
  • KALMAN , R. E. , and BERTRAM , J. E. , 1960 , Control system analysis and design via the second method1 of Lyapunov, Part II: discrete-time systems . Journal of Basic Engineering , 82 , 394 – 400 .
  • KIENITZ , K. H. , 1990 , Guaranteed cost control approach to the stabilization of uncertain lineardiscrete-time systems . International Journal of Systems Science , 21 , 643 – 652 ; 1992 , Stabilization of uncertain linear systems via observer-based feedback. International Journal of Systems Science , 23 , 411 – 418 .
  • KONSTANTINOV , M. M. , PATARINSKI , S. P. , PETKOV, P. H.. and CHRISTOV , N. D. , 1981 , Synthesis of discrete systems with guaranteed cost . Problemy na Tekhnicheskata Kibernetika, 11 , 34 – 40 .
  • OPITZ , H.-P. , 1984 , Entwurf robuster, strukturvariabler Regelungssysteme mit der Hyper-stabilitaetstheorie. Fortschritt Berichteder VDI Zeitschriften, Reihe 8, Nr. 75 (Duessel-dorf VDI-Verlag).
  • SCHMITENDORF , W. , 1988 , Designing stabilizing controllers for uncertain systems using the Riccati equation approach. IEEE Transactions on Automatic Control , 33 , 376 – 379 .
  • STREJC , V. , 1981 , Stale Space Theory of Discrete Linear Control ( New York Wiley ).
  • VINKLER , A. , and WOOD , L. J. , 1979 , Multistep guaranteed cost control of linear systems with uncertain parameters , Journal of Guidance and Control , 2 , 449 – 456 .
  • YOSHIDA , K. , and KAWABE , H. , 1992 , A design of saturating control with a guaranteed cost and its application to the crane control problem . IEEE Transactions on Automatic Control, 37 , 121 – 127 .

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