Arbitrary pole placement by state feedback with minimum gain
Robert Schmid, Lorenzo Ntogramatzidis, Nguyen Thang, Amit Pandey, P Antsaklis (ed.), K Valavanis (ed.), N Tsourveloudis (ed.), P Zingaretti (ed.), L Moreno (ed.)
2013 21ST MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | IEEE | Published : 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. © 2013 IEEE.
Awarded by Australian Research Council
Partially supported by the Australian Research Council under the grant FT120100604.