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非线性多时滞系统的直接自适应模糊控制

DIRECT ADAPTIVE FUZZY CONTROL FOR NONLINEAR SYSTEMS WITH MULTIPLE TIME DELAYS

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【作者】 曲子芳杜贞斌朱翼隽

【Author】 QU Zifang (College of Mathematics and Information Science,Shandong Institute of Business and Technology, Yantai,Shandong 264005) DU Zhenbin (School of Computer Science and Technology,Yantai University,Yantai,Shandong 264005) ZHU Yijun (Faculty of Science,Jiangsu University,Zhenjiang,Jiangsu 212013)

【机构】 山东工商学院数学与信息科学学院烟台大学计算机学院江苏大学理学院

【摘要】 针对一类单输入单输出非线性多时滞系统,提出了一种自适应模糊跟踪控制方案.该方案结合了自适应控制和H_∞控制.构建了自适应时滞模糊逻辑系统用来逼近未知时滞函数;设计了H_∞补偿器来抵消模糊逼近误差和外部扰动.根据跟踪误差给出了参数调节规律.证明了误差闭环系统满足期望的H_∞跟踪性能.仿真结果表明了该方案的有效性.

【Abstract】 A direct adaptive fuzzy tracking control scheme is proposed for a class of SISO nonlinear systems with multiple time delays.The control scheme combines adaptive control with H_∞control.Adaptive fuzzy logic systems with time delays are constructed to approximate the unknown functions with time delays.An H_∞compensator is designed to eliminate fuzzy approximation errors and external disturbances.The adaptive laws of the parameters are derived by the tracking error.It is proved that the error closed-loop system satisfies the expected H_∞tracking performance.The effectiveness of the proposed control scheme is demonstrated by a simulation example.

【基金】 国家自然科学基金资助课题(70571030)
  • 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2011年12期
  • 【分类号】TP13
  • 【下载频次】94
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