| 引用本文: | 邵汉永.线性离散时滞系统的鲁棒耗散控制[J].控制理论与应用,2006,23(3):443~448.[点击复制] |
| SHAO Han-yong.Robust dissipative control for a class of uncertain linear discrete-time systems with time-delay[J].Control Theory and Technology,2006,23(3):443~448.[点击复制] |
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| 线性离散时滞系统的鲁棒耗散控制 |
| Robust dissipative control for a class of uncertain linear discrete-time systems with time-delay |
| 摘要点击 1636 全文点击 1295 投稿时间：2005-01-14 修订日期：2005-08-16 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.3.022 |
| 2006,23(3):443-448 |
| 中文关键词 离散时滞系统 二次型耗散性 耗散控制 LMI |
| 英文关键词 discrete-time systems with delay quadratic dissipativeness dissipative control LMI |
| 基金项目 国家自然科学基金资助项目(60574080,60404006); 曲阜师范大学科研启动基金资助项目 |
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| 中文摘要 |
| 考虑线性离散时滞系统的二次型耗散控制问题.对于确定系统,给出渐近稳定且严格二次型耗散的条件和动态输出反馈控制器使闭环系统渐近稳定且严格二次型耗散.对于不确定系统,考虑不确定性具有耗散特性的情形,讨论鲁棒耗散性分析和动态输出反馈鲁棒耗散控制问题.通过构造增广系统,将不确定系统的鲁棒严格二次型耗散分析和设计转化为确定系统的情况.所得结果为离散时滞系统的无源控制和H∞控制提供了统一框架,且为离散时滞系统的分析和设计提供了一种更灵活、保守性更小的方法. |
| 英文摘要 |
| Quadratic-dissipative control for linear discrete-time systems with time-delay is considered in this paper.Firstly,for the system without uncertainties,conditions are characterized for the systems to be asymptotically stable and stricty quadratic-dissipative.The output feedback dissipative control problem is then addressed,and methods for designing those controllers are also given.Secondly,as for uncertain systems,the considered structured uncertainty is characterized by a dissipative system.Robust quadratic-dissipative analysis is addressed.Dynamic output feedback controllers are developed so that the closed-loop system will achieve robust stability and strictly quadratic dissipativeness.Finally,the robust dissipative analysis and synthesis are respectively reduced to the dissipative analysis and synthesis problems without uncertainties.Results of the output feedback dissipative control can provide not only a unified framework for H-infinity control and passive control but also a more flexible and less conservative design for linear discretetime systems with time-delay. |