Arbitrary pole placement by state feedback with minimum gain
Robert Schmid, Lorenzo Ntogramatzidis, Thang Nguyen, Amit Prakash Pandey · 2013
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 gain 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 gain matrix that delivers the desired pole placement with minimum gain.