Robust control of chaos in the Lorenz system with the variable structure control approach

This paper is concerned with the robust control for a class of the uncertain Lorenz system subject to sector nonlinear input. Based on rigorous mathematical analysis, the proposed variable structure controller can drive the system state exactly to a class of a specific point or in the predictable ne...

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Bibliographic Details
Published inPhysica scripta Vol. 77; no. 2; p. 025001
Main Authors Chen, Fengxiang, Chen, Lin, Zhang, Weidong
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.02.2008
Subjects
Rymdteknik
Space Technology
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ISSN1402-4896
0031-8949
0281-1847
1402-4896
DOI10.1088/0031-8949/77/02/025001

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Summary:This paper is concerned with the robust control for a class of the uncertain Lorenz system subject to sector nonlinear input. Based on rigorous mathematical analysis, the proposed variable structure controller can drive the system state exactly to a class of a specific point or in the predictable neighborhood of an arbitrary desired point in the state space even with mismatch uncertainties. Moreover, the controller ensures that one of the error components can approach zero as time approaches infinity. Finally, numerical simulation results show the effectiveness of our work.
ISSN:1402-4896
0031-8949
0281-1847
1402-4896
DOI:10.1088/0031-8949/77/02/025001