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Optimal Full Information H2 Guaranteed Cost Control of Discrete-Time Systems

[+] Author Affiliations
Richard Conway, Roberto Horowitz

University of California at Berkeley, Berkeley, CA

Paper No. DSCC2010-4220, pp. 523-532; 10 pages
doi:10.1115/DSCC2010-4220
From:
  • ASME 2010 Dynamic Systems and Control Conference
  • ASME 2010 Dynamic Systems and Control Conference, Volume 2
  • Cambridge, Massachusetts, USA, September 12–15, 2010
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4418-2 | eISBN: 978-0-7918-3884-6
  • Copyright © 2010 by ASME

abstract

This paper presents, for discrete-time LTI systems with unstructured dynamic uncertainty, a methodology for designing full information controllers which minimize the upper bound on robust H2 performance given in [1]. It is first shown that this optimal control problem can be cast as a semi-definite program. Then, it is shown that this optimization problem can be solved efficiently and accurately using discrete algebraic Riccati equations.

Copyright © 2010 by ASME

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