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Chaos control for the output-constrained system by using adaptive dynamic surface technology and application to the brushless DC motor
Author(s) -
Shaohua Luo,
Zhiwei Hou,
Zhong Chen
Publication year - 2015
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4937423
Subject(s) - backstepping , control theory (sociology) , dc motor , constraint (computer aided design) , controller (irrigation) , chaotic , artificial neural network , computer science , lyapunov function , function (biology) , adaptive control , mathematics , control (management) , nonlinear system , engineering , physics , artificial intelligence , agronomy , quantum mechanics , evolutionary biology , electrical engineering , biology , geometry
In this paper, chaos control is proposed for the output- constrained system with uncertain control gain and time delay and is applied to the brushless DC motor. Using the dynamic surface technology, the controller overcomes the repetitive differentiation of backstepping and boundedness hypothesis of pre-determined control gain by incorporating radial basis function neural network and adaptive technology. The tangent barrier Lyapunov function is employed for time-delay chaotic system to prevent constraint violation. It is proved that the proposed control approach can guarantee asymptotically stable in the sense of uniformly ultimate boundedness without constraint violation. Finally, the effectiveness of the proposed approach is demonstrated on the brushless DC motor example

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