Abstract A novel adaptive control and identification on-line method is proposed for a class of chaotic system with uncertain parameters. We prove that, using the presented method, a controller and identifier is developed which can remove chaos in nonlinear systems and make the system asymptotically stabilizing to an arbitrarily desired smooth orbit. And at the same time, estimates to uncertain parameters converge to their true values. The advantage of our method over the existing result is that the controller and identifier is directly constructed by analytic formula without knowing unknown bounds about uncertain parameters in advance. A computer simulation example is given to validate the proposed approach.
Received: 23 December 2000
Revised: 12 January 2001
Accepted manuscript online:
PACS:
05.45.Gg
(Control of chaos, applications of chaos)
Cite this article:
Li Zhi (李智), Han Chong-zhao (韩崇昭) ADAPTIVE CONTROL AND IDENTIFICATION OF CHAOTIC SYSTEMS 2001 Chinese Physics 10 494
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