On the design of the dissipative LQG-type controllers

Author

Lozano-Leal, R. ; Joshi, S.M.

Author_Institution

NASA, Langley Res. Center, Hampton, VA, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

1645

Abstract

The design of dissipative linear-quadratic-Gaussian-type compensators for positive real plants is considered. It is shown that if the noise covariance matrices (used as weighting matrices) satisfy certain conditions, the compensator has a strictly positive real transfer function matrix. The stability of the resulting closed-loop system is guaranteed regardless of modeling errors as long as the plant remains positive real. In view of this property, the controller is expected to be useful for vibration suppression in large flexible space structures

Keywords

compensation; control system synthesis; distributed parameter systems; optimal control; stability criteria; transfer functions; LQG control; LQG-type controllers; closed-loop system; compensator; dissipative controllers; large flexible space structures; noise covariance matrices; optimal control design; positive real plants; stability; strictly positive real transfer function matrix; vibration suppression; weighting matrices; Control systems; Covariance matrix; Feedback; Filters; Motion control; Performance analysis; Regulators; Riccati equations; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194606

Filename

194606