A unified method for optimal arbitrary pole placement
A unified method for optimal arbitrary pole placement
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DOI：
10.1016/j.automatica.2014.06.006
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发表时间：
2014-05
期刊：
影响因子：
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通讯作者：
Robert Schmid;L. Ntogramatzidis;Thang Nguyen-Tien;Amit P. Pandey
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文献类型：
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作者：
Robert Schmid;L. Ntogramatzidis;Thang Nguyen-Tien;Amit P. Pandey
我们考虑经典的极点配置问题的状态反馈。我们提供了一个特征结构配置算法，以获得一个新的参数形式的极点配置反馈矩阵，可以提供任何所需的闭环特征值，任何所需的多重性。这个参数公式，然后利用引入一个无约束的非线性优化算法，以获得一个反馈矩阵，提供所需的极点配置与最佳的鲁棒性和最小增益。最后，我们比较我们的方法对其他几个最近的文献的性能。
We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with optimal robustness and minimum gain. Lastly we compare the performance of our method against several others from the recent literature.