Feedback control and adaptive control of the energy resource chaotic system

Mei Sun, Lixin Tian, Shumin Jiang and Jun Xu

Chaos, Solitons & Fractals, 2007, vol. 32, issue 5, 1725-1734

Abstract: In this paper, the problem of control for the energy resource chaotic system is considered. Two different method of control, feedback control (include linear feedback control, non-autonomous feedback control) and adaptive control methods are used to suppress chaos to unstable equilibrium or unstable periodic orbits. The Routh–Hurwitz criteria and Lyapunov direct method are used to study the conditions of the asymptotic stability of the steady states of the controlled system. The designed adaptive controller is robust with respect to certain class of disturbances in the energy resource chaotic system. Numerical simulations are presented to show these results.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:5:p:1725-1734

DOI: 10.1016/j.chaos.2005.12.008

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