Optimality conditions for reduced-order modeling, estimation and control for discrete-time linear periodic plants

Wassim M. Haddad, Vikram Kapila, Emmanuel G. Collins

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For linear time-invariant systems it has been shown that the solutions to the optimal reduced-order modeling, estimation, and control problems can be characterized using optimal projection equations, sets of Riccati and Lyapunov equations coupled by terms containing a projection matrix. These equations provide a strong theoretical connection between standard full-order results such as linear-quadratic Gaussian theory and have also proved useful in the comparison of suboptimal reduction methods with optimal reduced-order methods. In addition, the optimal projection equations have been used as the basis for novel homotopy algorithms for reduced-order design. The paper considers linear periodic plants and develops necessary conditions for the reduced-order modeling, estimation, and control problems. It is shown that the optimal reduced-order model, estimator, and compensator is characterized by means of periodically time-varying systems of equations consisting of coupled Lyapunov and Riccati equations.

Original languageEnglish (US)
Title of host publicationAmerican Control Conference
Editors Anon
PublisherPubl by IEEE
Pages2111-2115
Number of pages5
ISBN (Print)0780308611
StatePublished - 1993
EventProceedings of the 1993 American Control Conference Part 3 (of 3) - San Francisco, CA, USA
Duration: Jun 2 1993Jun 4 1993

Other

OtherProceedings of the 1993 American Control Conference Part 3 (of 3)
CitySan Francisco, CA, USA
Period6/2/936/4/93

Fingerprint

Riccati equations
Time varying systems

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Haddad, W. M., Kapila, V., & Collins, E. G. (1993). Optimality conditions for reduced-order modeling, estimation and control for discrete-time linear periodic plants. In Anon (Ed.), American Control Conference (pp. 2111-2115). Publ by IEEE.

Optimality conditions for reduced-order modeling, estimation and control for discrete-time linear periodic plants. / Haddad, Wassim M.; Kapila, Vikram; Collins, Emmanuel G.

American Control Conference. ed. / Anon. Publ by IEEE, 1993. p. 2111-2115.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Haddad, WM, Kapila, V & Collins, EG 1993, Optimality conditions for reduced-order modeling, estimation and control for discrete-time linear periodic plants. in Anon (ed.), American Control Conference. Publ by IEEE, pp. 2111-2115, Proceedings of the 1993 American Control Conference Part 3 (of 3), San Francisco, CA, USA, 6/2/93.
Haddad WM, Kapila V, Collins EG. Optimality conditions for reduced-order modeling, estimation and control for discrete-time linear periodic plants. In Anon, editor, American Control Conference. Publ by IEEE. 1993. p. 2111-2115
Haddad, Wassim M. ; Kapila, Vikram ; Collins, Emmanuel G. / Optimality conditions for reduced-order modeling, estimation and control for discrete-time linear periodic plants. American Control Conference. editor / Anon. Publ by IEEE, 1993. pp. 2111-2115
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