DocumentCode
635973
Title
Arbitrary pole placement by state feedback with minimum gain
Author
Schmid, R. ; Ntogramatzidis, Lorenzo ; Nguyen, Thin ; Pandey, Ashutosh
Author_Institution
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
fYear
2013
fDate
25-28 June 2013
Firstpage
1434
Lastpage
1438
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.
Keywords
closed loop systems; eigenstructure assignment; matrix algebra; nonlinear programming; pole assignment; state feedback; closed-loop eigenvalues; eigenstructure assignment algorithm; minimum gain; pole placement; pole-placing gain matrix; state feedback; unconstrained nonlinear optimisation algorithm; Eigenvalues and eigenfunctions; Equations; Nickel; Robustness; State feedback; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location
Chania
Print_ISBN
978-1-4799-0995-7
Type
conf
DOI
10.1109/MED.2013.6608909
Filename
6608909
Link To Document