Arbitrary pole placement with the extended Kautsky–Nichols–van Dooren parametric form
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We consider the classic problem of pole placement by state feedback. The well-known eigenstructure assignment algorithm of Kautsky, Nichols, and van Dooren is extended to obtain a parametric formula for the pole-placing feedback matrix that can deliver any desired closed-loop eigenvalues, with any desired multiplicities.
This is an Author's Original Manuscript of an article published by Taylor & Francis in the International Journal of Control on 12/02/2016 available online at http://www.tandfonline.com/10.1080/00207179.2015.1129559