| 一类线性不确定切换系统的鲁棒镇定 |
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| 引用本文： | 顾则全, 刘贺平, 李晓理, 廖福成. 一类线性不确定切换系统的鲁棒镇定[J]. 工程科学学报, 2007, 29(12): 1273-1275. DOI: 10.13374/j.issn1001-053x.2007.12.045 |
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| 作者姓名： | 顾则全 刘贺平 李晓理 廖福成 |
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| 作者单位： | 北京科技大学信息工程学院,北京,100083;北京科技大学应用科学学院,北京,100083 |
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| 基金项目： | 国家自然科学基金;重点学科建设项目 |
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| 摘 要： | 考虑一类标称系统存在统一Lyapunov函数的线性不确定切换系统的鲁棒镇定问题,在不确定项满足一定限定条件下,利用完备性条件和统一Lyapunov函数方法,设计出鲁棒状态反馈控制器,使闭环系统仍然具有统一Lyapunov函数,从而在任意的切换策略下,确保闭环系统在其平衡点处是渐近稳定的.仿真结果表明所设计的控制器是有效的.
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| 关 键 词： | 切换系统 完备性 Lyapunov函数 状态反馈 鲁棒镇定 |
| 收稿时间： | 2006-09-04 |
| 修稿时间： | 2007-03-15 |
Robust stabilization for a class of uncertain switched linear systems |
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| GU Zequan, LIU Heping, LI Xiaoli, LIAO Fucheng. Robust stabilization for a class of uncertain switched linear systems[J]. Chinese Journal of Engineering, 2007, 29(12): 1273-1275. DOI: 10.13374/j.issn1001-053x.2007.12.045 |
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| Authors: | GU Zequan LIU Heping LI Xiaoli LIAO Fucheng |
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| Abstract: | Robust stabilization for a class of uncertain switched linear systems whose nominal systems have a common Lyapunov function was considered. With the certain restriction of uncertainty, a kind of robust controller of state feedback was constructed by using the completeness condition and common Lyapunov function technique. The closed-loop system still has a common Lyapunov function. The designed controller can guarantee the states of the closed-loop system asymptotically stable at the equilibrium point under an arbitrary switching strategy. Simulation result shows the validity of the designed controller. |
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| Keywords: | switched linear systems completeness Lyapunov function state feedback robust stabilization |
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