Controlling chaos based on an adaptive nonlinear compensator mechanism

Tian, Ling-Ling, Li, Dong-Hai and Sun, Xianfang ORCID: https://orcid.org/0000-0002-6114-0766 2008. Controlling chaos based on an adaptive nonlinear compensator mechanism. Chinese Physics B 17 (2) , pp. 507-519. 10.1088/1674-1056/17/2/028

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Abstract

The control problems of chaotic systems are investigated in the presence of parametric uncertainty and persistent external disturbances based on nonlinear control theory. By using a designed nonlinear compensator mechanism, the system deterministic nonlinearity, parametric uncertainty and disturbance effect can be compensated effectively. The renowned chaotic Lorenz system subjected to parametric variations and external disturbances is studied as an illustrative example. From the Lyapunov stability theory, sufficient conditions for choosing control parameters to guarantee chaos control are derived. Several experiments are carried out, including parameter change experiments, set-point change experiments and disturbance experiments. Simulation results indicate that the chaotic motion can be regulated not only to steady states but also to any desired periodic orbits with great immunity to parametric variations and external disturbances.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	IOP Publishing
ISSN:	1674-1056
Last Modified:	18 Oct 2022 13:32
URI:	https://orca.cardiff.ac.uk/id/eprint/14247

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