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Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation

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  • Qiong Huang
  • Chunyang Dong
  • Qianbin Chen

Abstract

A fractional-order scalar controller which involves only one state variable is proposed. By this fractional-order scalar controller, the unstable equilibrium points in the fractional-order Chen chaotic system can be asymptotically stable. The present control strategy is theoretically rigorous. Some circuits are designed to realize these control schemes. The outputs of circuit agree with the results of theoretical results.

Suggested Citation

  • Qiong Huang & Chunyang Dong & Qianbin Chen, 2014. "Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-9, June.
    • Handle: RePEc:hin:jnlmpe:698507
    DOI: 10.1155/2014/698507
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