An approximate-predictor approach to reduced-order models and controllers for distributed-parameter systems

Author

Leland, Robert P.

Author_Institution

Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA

Volume

44

Issue

3

fYear

1999

fDate

3/1/1999 12:00:00 AM

Firstpage

623

Lastpage

627

Abstract

Two reduced-order digital controllers for distributed parameter systems (DPS) are described. Reduced-order models approximate the optimal finite past predictor and error covariance for the full system to minimize an approximation to the Kullback-Leibler information distance (KLID). An LQG controller based on a reduced-order-system model is described. A reduced-order controller is found to minimize the KLID between the closed-loop system outputs with the full- and reduced-order controllers. Noncollocated control of a flexible beam is simulated

Keywords

approximation theory; closed loop systems; distributed parameter systems; linear quadratic Gaussian control; minimisation; prediction theory; reduced order systems; DPS; KLID minimization; Kullback-Leibler information distance; LQG controller; approximate-predictor approach; closed-loop system outputs; distributed-parameter systems; error covariance; flexible beam; full-order controllers; noncollocated control; optimal finite past predictor; reduced-order controllers; reduced-order digital controllers; reduced-order-system model; Computational modeling; Control design; Control systems; Digital control; Distributed control; Distributed parameter systems; Optimal control; Predictive models; Reduced order systems; Statistics;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.751364

Filename

751364