Periodic fixed-structure approach to multirate control

Wassim M. Haddad, Vikram Kapila

Research output: Contribution to journalArticle

Abstract

In this note we develop an approach to designing reduced-order multirate controllers. A discrete-time model that accounts for the multirate timing sequence of measurements is presented and is shown to have periodically time-varying dynamics. Using discrete-time stability theory, the optimal projection approach to fixed-order (i.e., full- and reduced-order) dynamic compensation is generalized to obtain reduced-order periodic controllers that account for the multirate architecture. It is shown that the optimal reduced-order controller is characterized by means of a periodically time-varying system of equations consisting of coupled Riccati and Lyapunov equations. In addition, the multirate static output-feedback control problem is considered. For both problems, the design equations are presented in a concise, unified manner to facilitate their accessibility for developing numerical algorithms for practical applications.

Original languageEnglish (US)
Pages (from-to)301-307
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume40
Issue number2
DOIs
StatePublished - Feb 1995

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Controllers
Time varying systems
Feedback control
Compensation and Redress

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Periodic fixed-structure approach to multirate control. / Haddad, Wassim M.; Kapila, Vikram.

In: IEEE Transactions on Automatic Control, Vol. 40, No. 2, 02.1995, p. 301-307.

Research output: Contribution to journalArticle

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