32
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive robust control of nonlinear uncertain systems

, , &
Pages 2159-2175 | Received 24 May 1993, Published online: 16 May 2007

REFERENCES

  • ASTROM , K. J. , 1970 , Introduction to Stochastic Control Theory ( New York Academic Press ).
  • BARMISH , B. R. , and LEITMANN , G. , 1982 , On ultimate boundedness control of uncertain systems in the absence of matching conditions . IEEE Transactions on Automatic Control , 27 , 153 – 158 .
  • BARMISH , B. R. , CORLESS , M. , and LEITMANN , G. , 1983 , A new class of stabilizing controllers for uncertain dynamical systems . SIAM Journal of Control and Optimization , 21 , 246 – 255 .
  • BEHTASH , S. , 1990 , Robust output tracking for nonlinear systems . International Journal of Control , 51 , 1381 – 1407 .
  • CHEN , J. S. , and CHEN , Y. H. , 1991 , Robust control of nonlinear uncertain systems a feedback linearization approach . Proceedings of the 30th IEEE Conference on Decision and Control , Brighton , U.K. , p. 2515 – 2550 .
  • CHEN , Y. H. , 1986 , On the deterministic performance of uncertain systems . International Journal of Control , 43 , 1557 – 1579 ; 1988, Design of robust controllers for uncertain dynamical systems. IEEE Transactions on Automatic Control, 33, 487-491; 1989 Modified adaptive robust control system design. International Journal of Control, 49, 1869-1882; 1992, Adaptive robust control of uncertain systems with measurement noise. Automatica, 28, 715–728 .
  • CHHN , Y. H. , and LEITMANN , G. , 1987 Robustness of uncertain systems in the absence of matching assumptions . International Journal of Control , 45 , 1527 – 1542 .
  • CODDINGTON , E. A. , and LEVINSON , N. , 1955 , Theory of Ordinary Differential Equations ( New York McGraw-Hill ).
  • CORLESS , M. J. , and LEITMANN , G. , 1981 Continuous state feedback guaranteeing uniform ultimate unboundedness for uncertain dynamic systems . IEEE Transactions on Automatic Control , 26 , 1139 – 1144 ; 1983, Journal of Optimization Theory Applications, 41, 155; 1988, Deterministic control of uncertain systems. Modelling and Adaptive Control, Lecture Notes on Control and Information Sciences, edited by C I. Byrnes and A. Kurzhanski (New York Springer-Verlag), p. 108–133 .
  • GUTMAN , S. , and LEITMANN , G. , 1976 , Stabilizing feedback control for dynamical systems with bounded uncertainty . Proceedings of the 15th Conference on Decision and Control , Clearwater , Florida , p. 94 – 99 .
  • HAHN , W. , 1967 , Stability of Motion ( Berlin Springer-Verlag ).
  • IOANNOU , P. A. , and TSAKALI , K. S. , 1986 A robust direct adaptive controller . IEEETransactions on Automatic Control , 31 , 1033 – 1043 .
  • ISIDORI , A. , 1989 , Nonlinear Control Systems ( New York Springer-Verlag ).
  • KANELLAKOPOULOS , I. , KOKOTOVIC , P. V. , and MARINO , R. , 1991 , An extended direct schemefor robust adaptive nonlinear control . Automatica , 27 , 247 – 256 .
  • KOKOTOVIC , P. V. , KAHLIL , H. K. , and O'REILLY , J. , 1986 , Singular Perturbations Methods inControl Analysis and Design ( New York Academic Press ).
  • LEITMANN , G. , 1981 , On the efficacy of nonlinear control in uncertain linear systems . ASMEJournal of Dynamic Systems, Measurement and Control , 103 , 95 – 102 .
  • LI , Z. H. , CHAI , T. Y. , and WEN , C. Y. , 1995 , Systematic design of robust controllersfor nonlinear uncertain systems . International Journal of Control , 62 , 871 – 892 .
  • LIAO , T. L. , FU , L. C. , and Hsu , C F. , 1992 , Output tracking control of nonlinear systemswith mismatched uncertainties . Systems and Control Letters , 18 , 39 – 47 .
  • MARINO , R. , RESPONDEK , W. , and VAN DER SCHAFT , A. J. , 1989 , Almost disturbancedecoupling for single-input single-output nonlinear systems . IEEE Transactions onAutomatic Control , 34 , 1013 – 1017 .
  • NARENDA , K. S. , and ANNASWAMY , A. M. , 1987 , A new adaptive law for robust adaptationwithout persistent excitation . IEEE Transactions on Automatic Control , 32 , 134 – 139 .
  • SABERI , A. , and SANNUTI , P. , 1988 , Global stabilization with almost distrubance decouplingof a class of uncertain non-linear systems . International Journal of Control , 47 , 717 – 727 .
  • TAYLOR , D. G. , KOKOTOVIC , P. V. , MARINO , R. , and KANELLAKOPOULOS , I. , 1989 , Adaptiveregulation of nonlinear systems with unmodelled dynamics . IEEE Transactions onAutomatic Control , 34 , 405 – 412 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.