| 引用本文: | 陈文华.凸规划与离散系统H∞输出控制[J].控制理论与应用,1996,13(5):604~612.[点击复制] |
| CHEN Wenhua.H∞ Output Control of Discrete-Time Systems Via Convex Optimization[J].Control Theory and Technology,1996,13(5):604~612.[点击复制] |
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| 凸规划与离散系统H∞输出控制 |
| H∞ Output Control of Discrete-Time Systems Via Convex Optimization |
| 摘要点击 1030 全文点击 496 投稿时间：1994-10-26 修订日期：1996-01-30 |
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| DOI编号 |
| 1996,13(5):604-612 |
| 中文关键词 H∞控制 输出反馈 凸优化 控制系统设计 离散系统 |
| 英文关键词 H∞ control output feedback convex optimization discrete-time systems |
| 基金项目 |
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| 中文摘要 |
| 本文提出了一种求解离散系统最优Ｈ∞输出控制器的凸优化方法．利用非线性矩阵映射，文中表明Ｈ∞输出控制问题可以转化为在n（n+1）+1维空间内凸集上的线性目标函数优化问题，这里ｎ为系统阶次．在可镇定、可检测的条件下，该凸集为有界的．由本文给出设计方法得到的输出Ｈ∞控制器可以使得闭环Ｈ∞范数任意接近最优．本文提出方法可以处理具有凸约束的Ｈ∞输出控制问题． |
| 英文摘要 |
| This paper presents a convex optimization approach to（nearly）optimal H∞ output control problem of discrete-time systems.By using nonlinear matrix valued mapping，it is shown that the H∞ output problem can be formulated as minimization of a linear objective function over a convex set in n（n+1）+1 dimensional space where n is the system dimension.Under the detectability and stabilizability conditions，the set is bounded.The H∞ norm of the closed loop system yielded by this method can come arbitrarily close to the minimum H∞ norm.The method proposed can handle the additional convex constraints. |