Journal of Guangdong University of Technology ›› 2015, Vol. 32 ›› Issue (3): 28-33.doi: 10.3969/j.issn.1007-7162.2015.03.006

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Stabilization for a Class of Chaotic Systems with Adaptive Quantizers

Zhai Yin-hu1,2, Wang Yin-he1, Fan Yong-qing3   

  1. 1. School of Automation；2. School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, China；
    3. School of Automation, Xi'an University of Posts and Telecommunications, Xi'an 710121, China
  • Received:2015-01-05 Online:2015-09-22 Published:2015-09-22
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Abstract: This paper investigates the asymptotical stabilization via state feedback for a class of chaotic systems with a quantizer connected on the input channel. The nonlinear terms in the dynamic equation of the chaotic system are represented as the homogeneous functions with arbitrary known orders. The quantizer has one adjustable timevarying parameter with the updated law to be designed, and thus it can quantify adaptively online the state variables of the chaotic systems according to control scheme. With the help of the updated law and adaptive law of estimated boundary error of quantization, the nonlinear adaptive controller is proposed in this paper to ensure the chaotic system to be stabilized asymptotically in the presence of the quantizer. Finally, some simulation examples are utilized to demonstrate the validity of the results in this paper.

Key words: chaotic systems, state feedback stabilization, adaptive quantizer, state quantization

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