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arXiv · 1405.1516

A unified method for optimal arbitrary pole placement

Robert Schmid·Lorenzo Ntogramatzidis·Thang Nguyen·Amit Pandey
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Abstract

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.

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Robert Schmid, Lorenzo Ntogramatzidis, Thang Nguyen, Amit Pandey. 2014-05-07. A unified method for optimal arbitrary pole placement. https://doi.org/10.1016/j.automatica.2014.06.006

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