| 基于分段连续Lyapunov函数的采样系统鲁棒保性能控制 |
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| 引用本文： | 刘富春,高焕丽. 基于分段连续Lyapunov函数的采样系统鲁棒保性能控制[J]. 控制理论与应用, 2012, 29(7): 909-914 |
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| 作者姓名： | 刘富春 高焕丽 |
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| 作者单位： | 华南理工大学自动化科学与工程学院自主系统与网络控制教育部重点实验室,广东广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目(61104083, 61174053); 教育部高等学校博士学科点专项科研基金资助项目(20100172120029); 广东省自然科学基金资助项目(S2011040002782); 中国博士后科学基金资助项目(20110490887). |
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| 摘 要： | 针对不确定采样控制系统的鲁棒保性能控制问题,首先将采样系统描述为跳变线性系统,基于矩阵凸组合思想构造了分段连续Lyapunov函数,进而在线性矩阵不等式框架内给出了不确定采样系统鲁棒稳定的条件.针对范数有界参数不确定采样系统,提出了鲁棒保性能控制器设计的在线算法,在每个采样周期内通过求解一组线性矩阵不等式的可行解来构造出状态反馈增益矩阵.最后的仿真算例验证了所提设计方法的有效性.
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| 关 键 词： | 采样控制系统 参数不确定性 鲁棒控制 保性能控制 |
| 收稿时间： | 2012-02-29 |
| 修稿时间： | 2012-04-26 |
Robust guaranteed cost control for sampled-data systems based on piecewise continuous Lyapunov functions |
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| LIU Fu-chun and GAO Huan-li. Robust guaranteed cost control for sampled-data systems based on piecewise continuous Lyapunov functions[J]. Control Theory & Applications, 2012, 29(7): 909-914 |
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| Authors: | LIU Fu-chun and GAO Huan-li |
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| Affiliation: | The Key Laboratory of Autonomous Systems and Networked Control, College of Automation Science and Technology, South China University of Technology,The Key Laboratory of Autonomous Systems and Networked Control, College of Automation Science and Technology, South China University of Technology |
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| Abstract: | In our work, the sampled-data system is described as a jump linear system. By introducing the piecewise continuous Lyapunov functions based on matrix convex combination, we develop the robust stability conditions for the uncertain sampled-data system in the framework of linear matrix inequality (LMI). The state-feedback gain matrices are obtained as feasible solutions from solving a set of LMIs in every sampling period. A simulation is performed to demonstrate the effectiveness of the proposed design method. |
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| Keywords: | sampled-data control systems parametric uncertainty robust control guaranteed cost control |
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