关键词: 混沌系统, 状态反馈镇定, 自适应量化器, 状态量化

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