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Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form

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Authors
Schmid, R.
Ntogramatzidis, Lorenzo
Nguyen, T.
Date
2014
Type
Conference Paper

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Schmid, R. and Ntogramatzidis, L. and Nguyen, T. 2014. Robust arbitrary pole placement with the extended Kautsky-Nichols-van Dooren parametric form, in Bauso, D. and d’Ippolito, F. and Fagiolini, A. and Gallo, P. and Tinnirello, I. (ed), Proceedings of the 22nd Mediterranean Conference on Control & Automation (MED), Jun 16-19 2014, pp. 1388-1392. Palermo, Italy: IEEE.
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Proceedings of the 2014 22nd Mediterranean Conference on Control & Automation (MED 2014)
Source Conference
2014 22nd Mediterranean Conference on Control & Automation (MED 2014)
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Department of Mathematics and Statistics
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Abstract

We consider the classic problem of pole placement by state feedback. Our recent work [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. The method was adapted from the classic eigenstructure assignment algorithm of Kautsky, Nichols and van Dooren [2]. 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.