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Approximate finite-time stable control of Lorenz Chaos system

Zhao Jian-Li Wang Jing Wei Wei

Approximate finite-time stable control of Lorenz Chaos system

Zhao Jian-Li, Wang Jing, Wei Wei
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  • Abstract views:  3710
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  • Cited By: 0
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  • Received Date:  17 October 2010
  • Accepted Date:  24 January 2011
  • Published Online:  15 October 2011

Approximate finite-time stable control of Lorenz Chaos system

  • 1. National Engineer Research Center of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083, China

Abstract: In the paper, the finite-time stability control problem for the Lorenz chaos system is studied. Considering the existence of uncertainty and nonlinearity in the Lorenz chaos system, a control method is proposed, which makes the controlled Lorenz system achieve approximate finite-time stability. And one kind of extended state observer is improved and designed to solve the unknown problem of uncertainty and nonlinearity for the controlled Lorenz system. The approximate finite-time stability of the closed-loop system is analysed by introducing the singular perturbation theary. Simulation results show the effectiveness of the control method and observer.

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