화학공학소재연구정보센터
Automatica, Vol.50, No.8, 2150-2154, 2014
A unified method for optimal arbitrary pole placement
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. (C) 2014 Elsevier Ltd. All rights reserved.