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| 切换系统不变集的输出反馈镇定 | |
| 引用本文： | 林相泽,邹云,李世华,钱艳平.切换系统不变集的输出反馈镇定[J].控制理论与应用,2009,26(8):907-910. |
| 作者姓名： | 林相泽 邹云 李世华 钱艳平 |
| 作者单位： | 1. 南京理工大学,自动化学院,江苏,南京,210094;南京农业大学,工学院,江苏,南京,210031 2. 南京理工大学,自动化学院,江苏,南京,210094 3. 东南大学,自动化学院,江苏,南京,210096 4. 河海大学,电气工程学院,江苏,南京,210098 |
| 基金项目： | 国家自然科学基金资助项目(60504007); 江苏省农机基金资助项目(gxz08008). |
| 摘 要： | 利用一个非负函数V (x), 推广了小时间状态模可观测和大时间状态模可观测的定义, 提出了小时间V (x)可观测和大时间V (x)可观测的概念. 利用V (x)可观测的概念, 讨论了子系统无源的切换系统不变集的有界输出反馈镇定及动态输出反馈镇定. 利用多Lyapunov函数证明了闭环系统渐近稳定. 仿真例子验证了文中结论正确性. |
| 关 键 词： | 切换系统 不变集 输出反馈 多Lyapunov函数 |
| 收稿时间： | 1/9/2008 12:00:00 AM |
| 修稿时间： | 2008/10/12 0:00:00 |
Output feedback stabilization of invariant sets for switched systems |
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| LIN Xiangze,ZOU Yun,LI Shihua and QIAN Yanping.Output feedback stabilization of invariant sets for switched systems[J].Control Theory & Applications,2009,26(8):907-910. | |
| Authors: | LIN Xiangze ZOU Yun LI Shihua and QIAN Yanping |
| Affiliation: | School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China; College of Engineering, Nanjing Agricultural University, Nanjing Jiangsu 210031, China,School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China,School of Automation, Southeast University, Nanjing Jiangsu 210096, China and College of Electrical Engineering, Hohai University, Nanjing Jiangsu 210098, China |
| Abstract: | By employing a nonnegative function V (x), we extend the definitions of small-time and large-time state-norm observability to the definitions of small-time and large-time V (x) observability. Based on the concept of V (x) observability, we stabilize the invariant sets of the switched systems with passive subsystems by using the bounded output feedback and the dynamic output feedback. The results are proved in detail by using multiple Lyapunov functions. Numerical examples are employed to verify the proposed method. |
| Keywords: | switched systems invariant sets output feedback multiple Lyapunov functions |
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