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基于观测器的非线性系统直接自适应模糊控制

Direct adaptive fuzzy control for a class of nonlinear systems based on observer

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【作者】 顾海军张天平于建江

【Author】 GU Hai-jun, ZHANG Tian-ping, YU Jian-jiang(Department of Computer, College of Information Engineering, Yangzhou University, Yangzhou 225009, China)

【机构】 扬州大学信息工程学院计算机系扬州大学信息工程学院计算机系 江苏扬州225009江苏扬州225009江苏扬州225009

【摘要】 针对状态不可测的一类不确定非线性系统,利用模糊系统的逼近能力,提出一种基于观测器的直接自适应模糊控制方案。该方案通过引入观测量的调制函数,使得模糊系统的输入集在有界闭区域上,从而取消了观测量有界的假设。利用Kalman Yacubovitch Popov定理及李亚普诺夫函数,证明了闭环控制系统所有信号是有界的,跟踪误差收敛到零。仿真结果表明了该方法的有效性。

【Abstract】 A new design scheme of observer based direct adaptive fuzzy controller for a class of uncertain nonlinear dynamical systems with unmeasurable states is proposed by using the approximation capability of fuzzy systems. A modulation function of observer-variables is adopted to keep the input-sets of fuzzy system always bounded. Then some properties about the approximation capability of fuzzy logic systems are used, with canceling the assumption of boundedness of observer-variables. By Kalman-Yacubovitch-Popov theorem and Lyapunov function, the closed-loop control system is proven to be globally stable in the sense that all signals involved are bounded, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach.

【基金】 国家自然科学基金(60074013&10371106);江苏省教育厅指导性基金(KK0310067);扬州大学信息科学学科群资助课题(ISG030606)
  • 【文献出处】 系统工程与电子技术 ,Systems Engineering and Electronics , 编辑部邮箱 ,2004年06期
  • 【分类号】TP13
  • 【被引频次】2
  • 【下载频次】147
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