Design of linear uncertain systems guaranteeing quadratic boundedness

Author

Ni, Mao-Lin ; Joo Er, Meng

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore

Volume

6

fYear

2000

fDate

2000

Firstpage

3832

Abstract

A new necessary and sufficient condition on quadratic boundedness is presented for a class of linear systems which contain norm-bounded uncertainties. Furthermore, by utilizing a generalized Riccati equation, a simple and practical procedure is developed for determining linear robust controllers such that the resulting systems are quadratically bounded. An application to the rotational motion control of an axisymmetric spacecraft subject to unknown but bounded disturbance torques is included to demonstrate the effectiveness of the procedure presented in this paper

Keywords

Riccati equations; control system synthesis; linear systems; robust control; uncertain systems; axisymmetric Spacecraft; generalized Riccati equation; linear robust controllers; linear uncertain system design; necessary and sufficient condition; norm-bounded uncertainties; quadratic boundedness condition; rotational motion control; unknown bounded disturbance torques; Control systems; Linear systems; Lyapunov method; Riccati equations; Robust control; Space vehicles; Sufficient conditions; Symmetric matrices; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.876939

Filename

876939