| 引用本文: | 俞 立.具有闭环极点和方差约束的不确定离散系统鲁棒控制[J].控制理论与应用,2001,18(4):621~623.[点击复制] |
| YU Li.Robust Control of Uncertain Discrete-Time Systems with Closed-Loop Pole and Variance Constraints[J].Control Theory and Technology,2001,18(4):621~623.[点击复制] |
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| 具有闭环极点和方差约束的不确定离散系统鲁棒控制 |
| Robust Control of Uncertain Discrete-Time Systems with Closed-Loop Pole and Variance Constraints |
| 摘要点击 1647 全文点击 1310 投稿时间：1999-09-27 修订日期：2000-03-13 |
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| DOI编号 10.7641/j.issn.1000-8152.2001.4.034 |
| 2001,18(4):621-623 |
| 中文关键词 离散时间系统 极点配置 方差 线性矩阵不等式 鲁棒控制 |
| 英文关键词 discrete-time systems pole assignment vartiance linear matrix inequality robust control |
| 基金项目 国家自然科学基金(69974036)和浙江省自然科学基金重点项目(zd99005)资助项目. |
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| 中文摘要 |
| 对一类具有范数有界不确定性的离散时间系统, 研究了使得闭环系统的所有极点位于一给定圆盘, 且稳态状态方差不超过给定上界的状态反馈鲁棒方差控制律设计问题 基于线性矩阵不等式的处理方法, 导出了鲁棒方差控制律的存在条件, 并用一组线性矩阵不等式的可行解给出了鲁棒方差控制律的一个参数化表示 进而, 通过建立和求解一个凸优化问题, 给出了具有最小控制能量的鲁棒方差控制律设计方法. |
| 英文摘要 |
| The problem of designing the state feedback controllers is studied which guarantee the closed-loop poles within a specifiled disc and steady-state variances to be less than given uppper bounds for linear discrete-time systems with norm-bounded paramdter uncertatainties. Based on the linear matrix inequality approach, existence conditions of rotust variance controllers and derived. A parameterized representation of robust varance controllers in provided in tems of the feasible solutions to a certain linear matrix inequality system. Furthemore, the design problem of the minimum-effect robust variance controller is formulated as a convex optimization problem. |