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Original Articles

Robust semi-global output tracking for nonlinear singularly perturbed systems

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Pages 639-666 | Received 06 Apr 1995, Published online: 24 Feb 2007

REFERENCES

  • BASTIN , G. , and DOCHAIN , D. , 1990 , On-line Estimation and Adaptive Control of Bioreactors ( Amsterdam : Elsevier ).
  • CHANG , H. C. , and ALUKO , M. , 1984 , Multi-scale analysis of exotic dynamics in surface catalysed reactions—I. Chemical Engineering Science , 39 , 37 – 50 .
  • CHOW , J. H. , 1982 , Time Scale Modeling of Dynamic Networks ( New York : Springer-Verlag ).
  • CHRISTOFIDES , P. D. , and DAOUTIDIS , P. , 1996 , Feedback control of two-time-scale nonlinear systems. International Journal of Control , 63 , 965 – 994 .
  • CHRISTOFIDES , P. D. , and TEEL , A. R. , 1995 , Singular perturbations and input-to-state stability . Proceedings of the 3rd European Control Conference , pp. 1845 – 1850 ; 1996, Singular perturbations and input-to-state stability. IEEE Transactions on Automatic Control, to be published in September .
  • CORLESS , M. , 1987 , Robustness of a Class of Feedback Controlled Uncertain Nonlinear Systems in the Presence of Singular Perturbations . Proceedings of American Control Conference , pp. 1584 – 1589 .
  • CORLESS , M. , GAROFALO , F. , and GLIELMO , L. , 1993 , New results on composite control of singularly perturbed uncertain linear systems. Automatica , 29 , 387 – 400 .
  • CORLESS , M. , and LEITMANN , G. , 1981 , Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems. IEEE Transactions on Automatic Control , 26 , 1139 – 1144 ; 1988, Controller design for uncertain systems via Lyapunov functions. Proceedings of American Control Conference, pp. 2019–2024 .
  • DORATO , D. , TEMPO , R. , and MUSCATO , G. , 1993 , Bibliography on robust control. Automatica , 29 , 201 – 213 .
  • ISIDORI , A. , 1989 , Nonlinear Control Systems an Introduction ( Berlin : Springer-Verlag ).
  • JIANG , Z.-P. , TEEL , A. R. , and PRALY , L. , 1995 , Small-gain theorem for 1SS systems and applications. Mathematics of Control Signals Systems , 7 , 95 – 120 .
  • KANELLAKOPOULOS , I. , KOKOTOVIC , P. V. , and MARINO , R. , 1991 , An extended direct scheme for robust adaptive nonlinear control. Automatica , 27 , 247 – 255 .
  • KHALIL , H. K. , 1992 , Nonlinear Systems ( New York : Macmillan ).
  • KHALIL , H. K. , and CHEN , F. C. , 1992 , H∞ control of two-time-scale systems. Systems and Control Letters , 19 , 35 – 42 .
  • KHORASANI , K. , 1989 , Robust stabilization of nonlinear systems with unmodeled dynamics. International Journal of Control , 50 , 827 – 844 .
  • KOKOTOVIC , P. V. , KHALIL , H. K. , and O'REILLY , J. , 1986 , Singular Perturbations in Control Analysis and Design ( London : Academic Press ).
  • LEVINE , J. , and ROUCHON , P. , 1991 , Quality control of binary distillation columns via nonlinear aggregated models. Automatica , 27 , 463 – 481 .
  • MONGE , J. J. , and GEORGAKIS , G. , 1987 , The effect of operating variables on the dynamics of catalytic cracking processes. Chemical Engineering Communications , 60 , 1 – 15 .
  • NIJMEIJER , H. , and VAN DER SCHAFT , A. J. , 1990 , Nonlinear Dynamical Control Systems ( Berlin : Springer-Verlag ).
  • SASTRY , S. S. , and ISIDORI , A. , 1989 , Adaptive control of linearizable systems. IEEE Transactions on Automatic Control , 34 , 1123 – 1131 .
  • PAN , Z. , and BASAR , T. , 1993 , H ∞-optimal control for singularly perturbed systems. Part 1 perfect state measurements. Automatica , 29 , 401 – 423 .
  • QU , Z. , 1993 , Robust control of nonlinear uncertain systems under generalized matching conditions. Automatica , 29 , 985 – 998 .
  • SONTAG , E. D. , 1989 , Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control , 34 , 435 – 443 .
  • SONTAG , E. D. , and WANG , Y. , 1995, On characterizations of the input-to-state stability property. Systems and Control Letters , 24, 351–359.
  • TAYLOR , D. G. , KOKOTOVIC , P. V. , MARINO , R. , and KANELLAKOPOULOS , I. , 1989 , Adapative regulation of nonlinear systems with unmodeled dynamics. IEEE Transactions on Automatic Control , 34 , 405 – 412 .
  • TEEL , A. , 1996 , A nonlinear small gain theorem for the analysis of control systems with saturation. IEEE Transactions on Automatic Control , to be published in September .
  • TEEL , A. , KADIYALA , R. , KOKOTOVIC , P. V. , and SASTRY , S. , 1991 , Indirect techniques for adaptive input-output linearization of nonlinear systems. International Journal of Control , 53 , 193 – 222 .

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