一类严格反馈系统变比例增益精确微分补偿控制
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(青岛理工大学信息与控制工程学院,山东青岛266520)

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E-mail: sunguofa_bo@163.com.

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TP273

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国家自然科学基金项目(61703224,61640302,21606141).


Variable proportional gain accurate differential compensation control for a class of strict feedback systems
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(College of Information and Control Engineering,Qingdao University of Technology,Qingdao266520,China)

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    摘要:

    针对包含不确定函数和未知外部扰动的一类严格反馈型非线性系统,提出基于精确扰动观测器的变比例增益自适应模糊控制器.系统中的未知不确定函数由模糊逻辑系统在线逼近,同时将模糊逻辑系统的逼近误差和未知外部扰动定义为总扰动,利用精确扰动观测器进行精确微分补偿控制. 将非线性函数应用于设计可调节的输出反馈增益,有效消除系统的稳态误差,使得系统跟踪误差可以控制在零的任意小邻域内.最后,通过Lyapunov定理证明闭环系统中所有信号均是有界的.数值仿真表明了所提出方案的有效性.

    Abstract:

    The adaptive variable proportional gain fuzzy tracking control design problem for a class of strict-feedback systems with unknown uncertain functions and unknown external disturbances is investigated in this paper. Fuzzy logic systems(FLSs) are introduced to identify the unknown function. What's more, the approximation error and unknown external disturbance of the fuzzy logic system are defined as the total disturbance, and the accurate differential observer is used to perform accurate differential compensation control. By introducing a nonlinear function to design the adjustable output feedback gain, the steady-state error of the system is reduced. So that the output tracking error of the system can be reduced arbitrarily small. Finally, the stability of the fuzzy control systems is proved based on the common Lyapunov function method. The numerical simulation examples are presented to further demonstrate the effectiveness of the proposed control strategies.

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孙国法,魏巍.一类严格反馈系统变比例增益精确微分补偿控制[J].控制与决策,2020,35(6):1490-1496

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  • 在线发布日期: 2020-05-15
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