The recursive reduced-order solution of an open-loop control problem of linear singularly perturbed systems

Author

Su, W. ; Gajic, Z. ; Shen, X.

Author_Institution

Dept. of Electr. & Comput. Eng., Rutgers Univ., Piscataway, NJ, USA

Volume

37

Issue

2

fYear

1992

fDate

2/1/1992 12:00:00 AM

Firstpage

279

Lastpage

281

Abstract

A reduced-order method with an arbitrary degree of accuracy is obtained for solving the linear-quadratic optimal open-loop control problem. The original two-point boundary value problem is transformed into the pure-slow and pure-fast reduced-order completely decoupled initial value problems. By doing this, the stiffness of the singularly perturbed two-point boundary value problem is converted into the problem of an ill-defined linear system of algebraic equations

Keywords

algebra; boundary-value problems; linear systems; optimal control; algebraic equations; ill-defined linear system; initial value problems; linear singularly perturbed systems; linear-quadratic optimal open-loop control; pure-fast problem; pure-slow problem; recursive reduced-order solution; stiffness; two-point boundary value problem; Boundary value problems; Continuous time systems; Control systems; Damping; Open loop systems; Optimal control; Polynomials; Riccati equations; Silicon compounds; Stability criteria;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.121636

Filename

121636