| 引用本文: | 张端金,吴 捷,杨成梧.Delta算子系统的状态反馈鲁棒镇定与鲁棒H∞控制[J].控制理论与应用,2001,18(5):732~736.[点击复制] |
| ZHANG Duan-jin,WU Jie,YANG Cheng-wu.Robust Stabilization and Robust H∞ Control for the Delta Operator Systems via State Feedback[J].Control Theory and Technology,2001,18(5):732~736.[点击复制] |
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| Delta算子系统的状态反馈鲁棒镇定与鲁棒H∞控制 |
| Robust Stabilization and Robust H∞ Control for the Delta Operator Systems via State Feedback |
| 摘要点击 1263 全文点击 1297 投稿时间：1999-06-07 修订日期：2000-09-26 |
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| DOI编号 |
| 2001,18(5):732-736 |
| 中文关键词 离散系统 Delta算子 鲁棒镇定 H∞控制 |
| 英文关键词 discrete time system Delta operator robust stabilization H∞control |
| 基金项目 国家自然科学基金(69474021; 60174025)项目; 中国博士后科学基金(2000-31)项目; 河南省教育厅科研计划(1999510005)项目; 高校博士点基金; 国家重点基础研究专项经费(G1998020308)资助项目. |
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| 中文摘要 |
| 研究Delta算子描述的线性不确定离散系统的鲁棒镇定与H∞控制问题. 提出了“Delta算子系统二次稳定与二次可镇定”的概念, 推导出Delta算子不确定系统鲁棒二次可镇定的充要条件及其状态反馈控制律. 基于Delta算子界实引理, 给出闭环不确定系统具有H∞范数界的充分条件和状态反馈设计. 所得结论将连续与离散系统的有关结果统一于Delta算子框架. |
| 英文摘要 |
| Robust stabilization and robust H∞control of the Delta operator formulated linear uncertain systems are considered in this paper. The definitions of "quadratic stability and quadratic stabilization for Delta operator systems " are introduced, then a sufficient and necessary condition and the corresponding state feedback control law for robust quadratic stabilization are developed. Based on the Delta operator bounded real lemma, sufficient condition with H∞norm bound on closed loop uncertain systems and state feedback design are presented. The proposed results can bring previous related conclusions of continuous time and discrete time systems into the unified Delta framework. |