| 一类多输入级联非线性切换系统的全局镇定 |
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| 引用本文： | 董亚丽,范姣姣,秦化淑. 一类多输入级联非线性切换系统的全局镇定[J]. 控制理论与应用, 2009, 26(1): 35-38 |
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| 作者姓名： | 董亚丽 范姣姣 秦化淑 |
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| 作者单位： | 天津工业大学理学院,天津,300160;中国科学院数学与系统科学研究院,系统科学研究所,北京100080 |
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| 基金项目： | 天津市高等学校科技发展基金资助项目(20051527). |
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| 摘 要： | 研究一类带有部分线性系统的多输入级联非线性切换系统的全局镇定问题. 首先, 给出保证线性部分有一致规范型的充分条件. 其次, 利用一致规范型及其零动态的共同二次Lyapunov函数设计状态反馈使得线性部分在任意切换律下镇定. 最后, 通过构造共同Lyapunov函数能实现闭环系统在任意切换律下的全局渐近稳定性.
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| 关 键 词： | 非线性切换系统 全局镇定 一致规范型 共同Lyapunov函数 |
| 收稿时间： | 2006-11-17 |
| 修稿时间： | 2007-10-30 |
Global stabilization of a class of multi-input cascade switched nonlinear systems |
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| DONG Ya-li,FAN Jiao-jiao and QIN Hua-shu. Global stabilization of a class of multi-input cascade switched nonlinear systems[J]. Control Theory & Applications, 2009, 26(1): 35-38 |
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| Authors: | DONG Ya-li FAN Jiao-jiao QIN Hua-shu |
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| Affiliation: | School of Science, Tianjin Polytechnic University, Tianjin 300160, China;School of Science, Tianjin Polytechnic University, Tianjin 300160, China;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing100080, China |
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| Abstract: | We consider the global stabilization of a class of multi-input cascade switched nonlinear systems with a linear switched part. A set of sufficient conditions for existing a uniform canonical form is given to the linear system. To the canonical form and the memoryless nonlinearity, we apply the quadratic Lyapunov function to design a state feedback for stabilizing the linear parts under arbitrary switching laws. Globally asymptotic stability of closed-loop system under arbitrary switching laws can be achieved by properly constructing the common Lyapunov functions. |
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| Keywords: | switched nonlinear system global stabilization uniform normal form common Lyapunov function |
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