Arbitrary pole placement by state feedback with minimum gain

Schmid, Robert and Ntogramatzidis, Lorenzo and Nguyen, Thang and Pandey, Amit. 2013. Arbitrary pole placement by state feedback with minimum gain, in Proceedings of The 21st Mediterranean Conference on Control and Automation (MED), Jun 25-28 2013, pp. 1434-1438. Crete, Greece: IEEE.

Source Title

2013 21st Mediterranean Conference on Control and Automation, MED 2013 - Conference Proceedings

Source Conference

2013 21st Mediterranean Conference on Control and Automation, MED 2013

DOI

10.1109/MED.2013.6608909

ISBN

978-147990997-1

Remarks

Copyright © 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

URI

http://hdl.handle.net/20.500.11937/21499

Collection

Curtin Research Publications

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.