Conference Proceedings
Arbitrary pole placement by state feedback with minimum gain
R Schmid, L Ntogramatzidis, T Nguyen, A Pandey
2013 21st Mediterranean Conference on Control and Automation MED 2013 Conference Proceedings | IEEE | Published : 2013
Abstract
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.
Grants
Awarded by Australian Research Council
Funding Acknowledgements
Partially supported by the Australian Research Council under the grant FT120100604.