| 引用本文: | 袁向阳,施颂椒.工作点可变系统的一种自调度H∞控制器设计(英文)[J].控制理论与应用,2001,18(3):390~394.[点击复制] |
| YUAN Xiang-yang,SHI Song-jiao.Design of a Self-Scheduled H∞ Controller for Plants with Variable Operating Conditions[J].Control Theory and Technology,2001,18(3):390~394.[点击复制] |
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| 工作点可变系统的一种自调度H∞控制器设计(英文) |
| Design of a Self-Scheduled H∞ Controller for Plants with Variable Operating Conditions |
| 摘要点击 1387 全文点击 945 投稿时间：1999-08-23 修订日期：2000-10-30 |
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| DOI编号 10.7641/j.issn.1000-8152.2001.3.014 |
| 2001,18(3):390-394 |
| 中文关键词 工作点可变系统 H∞控制 状态反馈 自调度 LMI |
| 英文关键词 plants with variable operating conditions H∞ control state feedback self scheduled LMI |
| 基金项目 |
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| 中文摘要 |
| 对于一种工作点可变系统, 即被控对象表达为两个典型工作点上的传递函数矩阵的正则稳定的既约分解的线性内插, 研究其H∞的控制问题, 提出了一种自调度状态反馈H∞控制器的设计算法. 并将该自调度状态反馈H∞控制器的设计问题转化为基于有限个线性矩阵不等式(LMI)的凸优化问题, 采用现有的凸优化工具即可对其进行求解. |
| 英文摘要 |
| This is concerned with the design of self scheduled state feedback controllers with guaranteed H∞ performance for a class of plants with variable operating conditions. The plant is assumed to be described by a linear interpolation of proper stable coprime factorizations of the transfer functions at two representative operating points. Base on the notion of quadratic H∞ performance, sufficient and necessary conditions for the existence of the state feedback H∞ controller are given as infinite algebraic Riccati inequalities that connot be solved directly. Then sufficient condition for the solvability of these infinite algebraic Riccati inequalities is given in the form of finite LMIs. In this way, the design of the state feedback H∞ controller is reduced to solving a feasibility problem constrained by these LMIs. |