Directly adaptive fuzzy control of discrete-time chaotic systems by least squares algorithm with dead-zone
Directly adaptive fuzzy control of discrete-time chaotic systems by least squares algorithm with dead-zone
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DOI：
10.1007/s11071-010-9742-2
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发表时间：
2010-06
影响因子：
5.6
通讯作者：
Haibo Jiang
中科院分区：
文献类型：
--
作者：
Haibo Jiang
针对一类离散混沌系统，提出了一种新的直接自适应模糊控制器设计方案。采用T-S模糊模型描述离散混沌系统。然后设计了模糊控制器，并利用带死区的最小二乘算法对控制器的未知系数进行辨识。利用李雅普诺夫方法证明了闭环系统的所有信号都是有界的，并且系统输出与参考输出之间的误差收敛到零的一个小邻域内。仿真结果验证了理论结果的有效性。
A new design scheme of directly adaptive fuzzy control for a class of discrete-time chaotic systems is proposed in this paper. The T-S fuzzy model is employed to represent the discrete-time chaotic systems. Then a fuzzy controller is designed and the unknown coefficients of the controller are identified by least squares algorithm with dead-zone. By Lyapunov method, all the signals involved in the closed-loop systems are shown to be bounded and the error between the system output and the reference output is proved to converge to a small neighborhood of zero. Simulation results demonstrate the effectiveness of the theoretical results.