| 引用本文: | 李 琴,靖 新,张庆灵,衣 娜.离散广义系统的严格耗散分析与控制[J].控制理论与应用,2008,25(3):462~467.[点击复制] |
| LI Qin,JING Xin,ZHANG Qing-ling,YI Na.Strictly dissipative analysis and control for discrete-time descriptor systems[J].Control Theory and Technology,2008,25(3):462~467.[点击复制] |
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| 离散广义系统的严格耗散分析与控制 |
| Strictly dissipative analysis and control for discrete-time descriptor systems |
| 摘要点击 1820 全文点击 1797 投稿时间：2006-06-12 修订日期：2007-05-09 |
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| DOI编号 |
| 2008,25(3):462-467 |
| 中文关键词 离散广义系统 耗散控制 线性矩阵不等式 状态反馈 |
| 英文关键词 discrete-time descriptor systems dissipative control linear matrix inequality state feedback |
| 基金项目 国家自然科学基金资助项目(60574011); 辽宁省普通高校学科带头人基金资助项目(124210). |
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| 中文摘要 |
| 对离散广义系统, 考虑了关于二次型供给率严格耗散控制问题. 建立了严格耗散与扩展严格正实之间的等价性. 利用线性矩阵不等式(LMI), 给出了离散广义系统严格耗散的充分必要条件, 并着重推导了其成立的严格LMI条件. 针对输入向量维数等于状态向量维数的系统, 分别利用非严格LMI及严格LMI, 讨论了状态反馈下的严格耗散控制问题, 并给出控制器的设计方法. 也讨论了输入向量维数小于状态向量维数的情况. 最后通过仿真算例说明所给方法的有效性和普遍性, 同时显示了严格LMI条件在耗散控制问题中, 比非严格LMI具有的优势. |
| 英文摘要 |
| For discrete-time descriptor systems, we consider the problem of strictly dissipative control with quadratic supply rate. Equivalence between the strict dissipativity and the extended strictly positive realness is established. By using the linear matrix inequality (LMI), we derive the necessary and sufficient conditions for discrete-time descriptor systems to be strictly dissipative, and provide the conditions in the form of strict LMI. When the dimension of input equals the dimension of state, we discuss the state-feedback dissipative control by means of the non-strict LMI and the strict LMI, respectively, and present the design method for the controller. We also discuss the case where the dimension of input is lower than the dimension of state. Numerical examples illustrate the effectiveness and universality of the proposed method, and show the advantages of the strict LMI condition over the non-strict LMI condition in the dissipative problem. |
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