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不确定非线性系统的自适应反演终端滑模控制

Adaptive backstepping-based terminal-sliding-mode control for uncertain nonlinear systems

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【作者】 郑剑飞冯勇郑雪梅杨旭强

【Author】 ZHENG Jian-fei,FENG Yong,ZHENG Xue-mei,YANG Xu-qiang(Department of Electrical Engineering,Harbin Institute of Technology,Harbin Heilongjiang 150001,China)

【机构】 哈尔滨工业大学电气工程系

【摘要】 针对一类参数严格反馈型不确定非线性系统,本文提出一种自适应反演终端滑模控制方法.反演控制的前n?1步结合自适应律估计系统的未知参数,第n步采用非奇异终端滑模,使系统最后一个状态有限时间内收敛.利用微分估计器获得误差系统状态的导数,并设计了高阶滑模控制律,去除控制抖振,使系统对于匹配和非匹配不确定性均具有鲁棒性.同自适应反演线性滑模方法相比,所提方法提高了系统的收敛速度和稳态跟踪精度,并且控制信号更加平滑.仿真结果验证了该方法的有效性。

【Abstract】 An adaptive backstepping-based terminal-sliding-mode control method is proposed for a class of uncertain nonlinear systems in parametric-strict feedback form.The adaptive control law is combined with the first n-1 steps of the backstepping method to estimate the unknown parameters of the system.In the n-th step,a nonsingular terminal-sliding-mode is then utilized to drive the last state of the system to converge in a finite period of time.Furthermore,the derivative estimator is used to obtain the derivatives of the states of the error system;and the high-order sliding-mode-control law is designed to eliminate the chattering and to make the system robust to both the matched and the mismatched uncertainties.Compared to the adaptive backstepping-based linear sliding-mode-control method,the proposed method improves the convergence rate and the steady-state tracking accuracy of the system,and makes the control signal smoother.Finally,the simulation results are presented to validate the method.

【基金】 国家自然科学基金资助项目(60474016,60774040)
  • 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2009年04期
  • 【分类号】TP13
  • 【被引频次】96
  • 【下载频次】1668
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