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    Fredholm 적분식을 이용하여 불확실성의 경계치를 추정하는 적응강인제어기 설계 = Design of a Continuous Adaptive Robust Control Estimating the Upper Bound of the Uncertainties using Fredholm Integral Formulae

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    https://www.riss.kr/link?id=A104290664

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    We consider a class of uncertain nonlinear systems containing the uncertainties without a priori information except that they are bounded. For such systems, we assume that the upper bound of the uncertainties is represented as a Fredholm integral equation of the first kind and we propose an adaptation law that is capable of estimating the upper bound. Using this adaptive upper bound, a continuous robust control which renders uncertain nonlinear systems uniformly ultimately bounded is designed.
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    We consider a class of uncertain nonlinear systems containing the uncertainties without a priori information except that they are bounded. For such systems, we assume that the upper bound of the uncertainties is represented as a Fredholm integral equa...

    We consider a class of uncertain nonlinear systems containing the uncertainties without a priori information except that they are bounded. For such systems, we assume that the upper bound of the uncertainties is represented as a Fredholm integral equation of the first kind and we propose an adaptation law that is capable of estimating the upper bound. Using this adaptive upper bound, a continuous robust control which renders uncertain nonlinear systems uniformly ultimately bounded is designed.

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    참고문헌 (Reference)

    1 V. I. Utkin, "Variable structure systems with sliding modes" 22 (22): 212-222, feb.1977

    2 R. A. DeCarlo, "Variable structure control of nonlinear multivariable systems" 76 : 212-232, 1988

    3 S. Gutman, "Uncertain dynamical systems - A Lyapunov min?max approach" 24 (24): 437-443, 197903

    4 B. Brogliato, "Practical stabilization of a class of nonlinear systems with partially known uncertainties" 31. (31.): 145-150, 1995

    5 G. Arfken, "Mathematical methods for physicists" Academic Press 1970

    6 Y. H. Chen, "International Journal of Control" 51 (51): 1457-1477, 1990

    7 W. Messner, "IEEE Trans. on Automatic Control" 36 : pp.188-197feb.1991

    8 Y. H. Chen, "Design of robust controllers for uncertain dynamical systems" 33 (33): 487-491, 198805

    9 M. J. Corless, "Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems" 26 (26): 1139-1144, 198105

    10 H. Wu, "Continuous adaptive robust controllers guaranteeing uniform ultimate boundedness for uncertain nonlinear system" 72 (72): 115-122, 1999

    1 V. I. Utkin, "Variable structure systems with sliding modes" 22 (22): 212-222, feb.1977

    2 R. A. DeCarlo, "Variable structure control of nonlinear multivariable systems" 76 : 212-232, 1988

    3 S. Gutman, "Uncertain dynamical systems - A Lyapunov min?max approach" 24 (24): 437-443, 197903

    4 B. Brogliato, "Practical stabilization of a class of nonlinear systems with partially known uncertainties" 31. (31.): 145-150, 1995

    5 G. Arfken, "Mathematical methods for physicists" Academic Press 1970

    6 Y. H. Chen, "International Journal of Control" 51 (51): 1457-1477, 1990

    7 W. Messner, "IEEE Trans. on Automatic Control" 36 : pp.188-197feb.1991

    8 Y. H. Chen, "Design of robust controllers for uncertain dynamical systems" 33 (33): 487-491, 198805

    9 M. J. Corless, "Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems" 26 (26): 1139-1144, 198105

    10 H. Wu, "Continuous adaptive robust controllers guaranteeing uniform ultimate boundedness for uncertain nonlinear system" 72 (72): 115-122, 1999

    11 C.H. Choi, "Adaptive regulation for a class of uncertain systems with partial knowledge of uncertainty bounds" 38 (38): 1246-1250, 199308

    12 B. R. Barmish, "A new class of stabilizing controllers for uncertain dynamical systems" 21 (21): 246-255, 1983

    13 D. S. Yoo, "A Variable structure control with simple adaptation laws for upper bounds on the norm of the uncertainties" 37 (37): 860-865, 199206

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