Optimal linear regulator pole-placement by weight selection

Authors

Mehrdad Saif, Simon Fraser University

Document Type

Article

Publication Date

1-1-1989

Publication Title

International Journal of Control

Volume

50

Issue

1

First Page

399

Last Page

414

Abstract

A recursive algorithm for selecting the state weighting matrix of a linear quadratic regulator (LQR) problem to result in a set of desired closed-loop eigen values is presented. Aggregation is used so that at each step of the recursive process where either a real pole or a complex conjugate pair is being placed, one has to deal with two or four dimensional matrix equations regardless of the system's dimensionality. In addition the algorithm is capable of placing a complex conjugate pair at a new complex conjugate location, or at two distinct real locations. © 1989 Taylor and Francis Group, LLC.

DOI

10.1080/00207178908953369

ISSN

00207179

E-ISSN

13665820

Recommended Citation

Saif, Mehrdad. (1989). Optimal linear regulator pole-placement by weight selection. International Journal of Control, 50 (1), 399-414.
https://scholar.uwindsor.ca/electricalengpub/478