| 一类二阶非线性系统的有限时间状态反馈镇定方法 |
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| 引用本文： | 李世华,丁世宏,田玉平.一类二阶非线性系统的有限时间状态反馈镇定方法[J].自动化学报,2007,33(1):101-104. |
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| 作者姓名： | 李世华 丁世宏 田玉平 |
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| 作者单位： | 1.东南大学自动控制系 南京 210096 |
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| 基金项目： | 国家自然科学基金;东南大学校科研和教改项目 |
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| 摘 要： | 针对一类二阶非线性系统的有限时间状态反馈镇定问题进行了讨论. 给出了三种基于连续状态反馈的全局有限时间状态反馈镇定方法. 首先，利用非线性齐次系统性质，设计出一种状态反馈控制器，使得闭环系统渐近稳定并且具有负的齐次度；其次，基于有限时间Lyapunov函数的反步构造法，给出了一种有限时间控制器；最后，利用非奇异终端滑模控制技术，得到了一种使闭环系统有限时间收敛到平衡点的反馈镇定控制器. 仿真结果表明了这些方法的有效性.
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| 关 键 词： | 非线性系统 有限时间控制 有限时间稳定性 反馈镇定 |
| 收稿时间： | 2005-09-21 |
| 修稿时间： | 2006-04-07 |
A Finite-time State Feedback Stabilization Method for a Class of Second Order Nonlinear Systems |
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| LI Shi-Hua,DING Shi-Hong,TIAN Yu-Ping.A Finite-time State Feedback Stabilization Method for a Class of Second Order Nonlinear Systems[J].Acta Automatica Sinica,2007,33(1):101-104. |
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| Authors: | LI Shi-Hua DING Shi-Hong TIAN Yu-Ping |
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| Affiliation: | 1.Department of Automatic Control, Southeast University, Nanjing 210096 |
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| Abstract: | The finite-time feedback stabilization problem of a class of second-order nonlinear systems is discussed. Three kinds of global finite-time feedback stabilization approaches based on continuous state feedback are given. First, using homogeneous properties of nonlinear homogeneous systems, a state feedback controller is designed to guarantee that the closed loop system is asymptotically stable and satisfies negative homogeneity. Second, using backstepping constructive approach based on finite-time Lyapunov function, a finite-time controller is developed. Finally, using nonsingular terminal sliding mode technology, a feedback stabilizing controller which can make the closed loop system converge to equilibrium in finite time is given. Simulation results are provided to demonstrate the effectiveness of these approaches. |
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| Keywords: | Nonlinear systems finite-time control finite-time stability feedback stabilization |
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