Stabilization of linear systems with simultaneous state, actuation, and measurement delays

Vikram Kapila, Wassim M. Haddad, Apostolos Grivas

Research output: Contribution to journalArticle

Abstract

This paper considers the problem of stabilizing continuous-time linear systems with time delays. Specifically, a fixed-order (i.e. full- and reduced-order) dynamic compensation problem is addressed for systems with simultaneous state, input, and output delays. The principal result involves sufficient conditions for characterizing fixed-order dynamic controllers for delay systems via a system of modified coupled Riccati equations. The controllers obtained are delay independent and hence apply to systems with arbitrary unknown delay.

Original languageEnglish (US)
Pages (from-to)1619-1629
Number of pages11
JournalInternational Journal of Control
Volume72
Issue number18
StatePublished - Dec 15 1999

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Linear systems
Stabilization
Controllers
Riccati equations
Time delay
Compensation and Redress

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Stabilization of linear systems with simultaneous state, actuation, and measurement delays. / Kapila, Vikram; Haddad, Wassim M.; Grivas, Apostolos.

In: International Journal of Control, Vol. 72, No. 18, 15.12.1999, p. 1619-1629.

Research output: Contribution to journalArticle

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