Adaptive Neural Control of SISO Time-Delay Nonlinear Systems with Unknown Hysteresis Input

In this paper, adaptive variable structure neural control is investigated for a class of SISO nonlinear systems in a Brunovsky form with state time-varying delays and unknown hysteresis input. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii func...

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Published inIFAC Proceedings Volumes Vol. 41; no. 2; pp. 248 - 253
Main Authors Lee, Tong Heng, Ren, Beibei, Ge, Shuzhi Sam
Format Journal Article
LanguageEnglish
Published 2008
Subjects
hysteresis
neural networks
Time-vary delays
Time-vary delays
neural networks
hysteresis
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Abstract In this paper, adaptive variable structure neural control is investigated for a class of SISO nonlinear systems in a Brunovsky form with state time-varying delays and unknown hysteresis input. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is mitigated using the proposed adaptive control. By utilizing the integral-type Lyapunov function, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded. Simulation results demonstrate the effectiveness of the approach.
AbstractList In this paper, adaptive variable structure neural control is investigated for a class of SISO nonlinear systems in a Brunovsky form with state time-varying delays and unknown hysteresis input. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is mitigated using the proposed adaptive control. By utilizing the integral-type Lyapunov function, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded. Simulation results demonstrate the effectiveness of the approach.
Author Ren, Beibei
Ge, Shuzhi Sam
Lee, Tong Heng
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Cites_doi 10.1137/1035005
10.1109/9.847117
10.1109/72.80202
10.1109/TAC.2003.819287
10.1109/9.341778
10.1109/TAC.2004.835398
10.1016/S0005-1098(98)00215-5
10.1016/j.automatica.2004.04.006
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10.1109/9.895588
10.1016/j.automatica.2006.12.014
10.1109/TAC.2005.860260
10.1016/j.automatica.2006.08.003
10.1016/S0005-1098(03)00167-5
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neural networks
hysteresis
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Snippet In this paper, adaptive variable structure neural control is investigated for a class of SISO nonlinear systems in a Brunovsky form with state time-varying...
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SubjectTerms hysteresis
neural networks
Time-vary delays
Title Adaptive Neural Control of SISO Time-Delay Nonlinear Systems with Unknown Hysteresis Input
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