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A Spectral Factorization Approach to the Discrete-Time Singular LQ Regulation Problem

[+] Author Affiliations
Wataru Kase

Osaka Institute of Technology, Osaka, Japan

Yasuhiko Mutoh

Sophia University, Tokyo, Japan

Paper No. DSCC2011-6106, pp. 645-650; 6 pages
doi:10.1115/DSCC2011-6106
From:
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1
  • Arlington, Virginia, USA, October 31–November 2, 2011
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5475-4
  • Copyright © 2011 by ASME

abstract

In this paper, a solution to the discrete-time singular LQ problem for a non-square plant will be discussed. It will be shown that the solution is given by an inverted interactorizing gain for the minimum phase image of some squarizing systems. An interactor matrix plays an important role for deriving the minimum phase image.

Copyright © 2011 by ASME

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