Closed loop cancellations in ℋ∞ control of time-varying systems

Richard T. O'Brien, Pablo A Iglesias

Research output: Contribution to journalArticle

Abstract

The pole/zero cancellation phenomenon is examined in the closed loop system resulting from the solution of the ℋ control problem for time-varying systems. The unobservable and uncontrollable states are identified in the realization of the closed loop system associated with the general ℋ control problem. These results are then used, in conjunction with previous results obtained by the authors on the pole/zero cancellation phenomenon in time-varying systems to identify pole/zero cancellations in two specific types of ℋ control problems. These results generalize the work of Sefton and Glover for time-invariant systems.

Original languageEnglish (US)
Pages (from-to)163-189
Number of pages27
JournalInternational Journal of Control
Volume71
Issue number1
StatePublished - 1998

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Time varying systems
Poles
Closed loop systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Closed loop cancellations in ℋ∞ control of time-varying systems. / O'Brien, Richard T.; Iglesias, Pablo A.

In: International Journal of Control, Vol. 71, No. 1, 1998, p. 163-189.

Research output: Contribution to journalArticle

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