| 一类切换系统的输入-状态稳定性分析与优化控制 |
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| 引用本文： | 方志明,向峥嵘,陈庆伟. 一类切换系统的输入-状态稳定性分析与优化控制[J]. 信息与控制, 2011, 40(2). DOI: 10.3724/SP.J.1219.2010.00155 |
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| 作者姓名： | 方志明 向峥嵘 陈庆伟 |
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| 作者单位： | 1. 南京理工大学自动化学院,江苏南京210094;江苏大学电气信息工程学院,江苏镇江,212013
2. 南京理工大学自动化学院,江苏南京,210094 |
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| 基金项目： | 国家自然科学基金资助项目，教育部博士点基金资助项目，江苏省自然科学基金资助项目，空间智能控制技术国家级重点实验室资助项目 |
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| 摘 要： | 利用驻留时间法和 Gronwall-Bellman不等式研究了一类切换系统的输入一状态稳定性分析与优化控制问题.在保证切换系统输入-状态稳定的前提下,将切换时刻和切换次数约束条件转化为线性约束,提出了一种新的切换系统优化问题目标函数的形式.与已有的方法相比,该方法无需引入新的状态变量,无需同时满足构造输入-状态稳定控制李亚普诺夫函数和所有子系统都是输入-状态稳定的条件,为控制器的优化设计提供了便利.最后,通过算例仿真证实了文中所提方法的可行性.
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| 关 键 词： | 切换系统 最优控制 驻留时间 输入-状态稳定 |
Input-to-State Stability Analysis and Optimal Control for a Class of Switched Systems |
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| FANG Zhiming,XIANG Zhengrong,CHEN Qingwei. Input-to-State Stability Analysis and Optimal Control for a Class of Switched Systems[J]. Information and Control, 2011, 40(2). DOI: 10.3724/SP.J.1219.2010.00155 |
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| Authors: | FANG Zhiming XIANG Zhengrong CHEN Qingwei |
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| Affiliation: | FANG Zhiming~(1,2),XIANG Zhengrong~1,CHEN Qingwei~1 (1.School of Automation,Nanjing University of Science & Technology,Nanjing 210094,China,2.School of Electrical and Information Engineering,Jiangsu University,Zhenjiang 212013,China) |
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| Abstract: | Based on the dwell-time approach and Gronwall-Bellman's inequality,a new approach to input-to-state stability and optimal control problems for a class of switched systems is presented.Under the condition that input-to-state of switched system is stable,the constraint conditions on switching instants and switched number are transformed into linear form.A new form of objective function is constructed for switched system optimal problem.Compared with the existing methods,the proposed method does not employ new... |
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| Keywords: | switched system optimal control dwell time input-to-state stability |
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