输出反馈任置极点的精确解与粗壮性
The Exact Solution and Optimal Robustness of Arbitrary Pole Assignment by Output Feedback
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摘要: 本文研究m+r-1≥n的完全系统.n、1、m分别是系统的状态、输入、输出变量个 数.以前对任置极点只证明了ε-近似解的存在性,本文则证明了精确解的存在性,并进而给 出了几乎全部精确解集的全部自由参数.本文指出,利用文[1]的指标,可对这些参数进行两 级递阶优选,从而使所配置的闭路特征结构对系统参数中可能出现的各种扰动不敏感,全方位 调节特性较优且保持相对稳定.Abstract: This paper proves" that there exists an exact solution for m+r-1≥n complete systems to arbitrarily assign all poles by output feedback. In addition, it gives all the free parameters of almost all exact solutions and makes use of the criteria given in [1] to optimize these parameters, which makes the closed-loop eigenstructure assigned have optimal robustness.
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Key words:
- linear system /
- output feedback /
- pole assignment /
- robustness
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