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Robust repeated pole placement

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Open access
Authors
Schmid, R.
Ntogramatzidis, Lorenzo
Nguyen, T.
Pandey, A.
Date
2013
Type
Conference Paper

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Schmid, Robert and Ntogramatzidis, Lorenzo and Nguyen, Thang and Pandey, Amit. 2013. Robust repeated pole placement, in Proceedings of the 3rd Australian Control Conference (AUCC), Nov 4-5 2013, pp. 456-460. Fremantle, WA: IEEE.
Source Title
Control Conference (AUCC), 2013 3rd Australian
Source Conference
2013 Australian Control Conference
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Abstract

We consider the classic problem of pole placement by state feedback. Recently [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. In this paper we employ this parametric formula to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers any desired pole placement with optimal robustness.