Robust Control System Design Using Proportional Plus Partial Derivative State Feedback
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摘要: 基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果, 得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式, 并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法. 该算法不含有"返回"过程, 允许闭环特征值在希望的区域内方便地参与优化. 一个算例说明了算法的简单性和有效性.
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关键词:
- 广义线性系统 /
- 特征值配置 /
- 特征值灵敏度 /
- 比例与部分状态导数反馈
Abstract: Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed. The algorithm does not contain `going back' procedures, and allows the closed-loop eigenvalues to be conveniently optimized within desired regions. An example demonstrates its effectiveness and simplicity.
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