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
PublisherPubl by IEEE
Pages2111-2115
Number of pages5
ISBN (Print)0780308611, 9780780308619
DOIs
StatePublished - 1993
EventProceedings of the 1993 American Control Conference Part 3 (of 3) - San Francisco, CA, USA
Duration: Jun 2 1993Jun 4 1993

Publication series

NameAmerican Control Conference

Other

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    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 American Control Conference (pp. 2111-2115). (American Control Conference). Publ by IEEE. https://doi.org/10.23919/acc.1993.4793254