Robust repeated pole placement

Author

Schmid, R. ; Ntogramatzidis, Lorenzo ; Thang Nguyen ; Pandey, Ashutosh

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia

fYear

2013

fDate

4-5 Nov. 2013

Firstpage

456

Lastpage

460

Abstract

We consider the classic problem of pole placement by state feedback. Recently [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. In this paper we employ this parametric formula to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers any desired pole placement with optimal robustness.

Keywords

closed loop systems; eigenstructure assignment; linear systems; matrix algebra; nonlinear programming; pole assignment; robust control; state feedback; LTI systems; closed-loop eigenvalues; eigenstructure assignment algorithm; linear time-invariant systems; multiplicities; optimal robustness; parametric formula; pole-placing gain matrix; robust repeated pole placement; state feedback; unconstrained nonlinear optimisation algorithm; Australia; Eigenvalues and eigenfunctions; Equations; Nickel; Robustness; State feedback; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (AUCC), 2013 3rd Australian

Conference_Location

Fremantle, WA

Print_ISBN

978-1-4799-2497-4

Type

conf

DOI

10.1109/AUCC.2013.6697316

Filename

6697316