An LMI approach towards general quadratic performance analysis and synthesis of descriptor systems

Author

Rehm, A. ; Allgöwer, F.

Author_Institution

Inst. fur Systemdynamik & Regelungstech., Stuttgart Univ., Germany

Volume

2

fYear

1999

fDate

2-4 Jun 1999

Firstpage

1299

Abstract

In this paper the control of high index or even non-regular linear differential-algebraic-equation systems subject to general quadratic constraints is considered. This study especially includes the H_∞ control problem and the design for strict passivity. Based on linear matrix inequality (LMI) analysis conditions, LMI synthesis conditions for the existence of linear output feedback controllers are derived by means of a linearizing change of variables. This paper thus extends the previous work by Schere et al. (1997) to the important class of descriptor systems

Keywords

H^∞ control; control system analysis; differential equations; feedback; linear systems; matrix algebra; H_∞ control; descriptor systems; differential-algebraic-equation systems; general quadratic performance; linear matrix inequality; linear systems; output feedback; Automatic control; Chemical processes; Control system synthesis; Control systems; Differential equations; Hydrogen; Linear feedback control systems; Linear matrix inequalities; Output feedback; Performance analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.783577

Filename

783577