Stabilization of uncertain linear systems: an LFT approach

Author

Lu, Wei-Min ; Zhou, Kemin ; Doyle, John C.

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

41

Issue

1

fYear

1996

fDate

1/1/1996 12:00:00 AM

Firstpage

50

Lastpage

65

Abstract

This paper develops machinery for control of uncertain linear systems described in terms of linear fractional transformations (LFTs) on transform variables and uncertainty blocks with primary focus on stabilization and controller parameterization. This machinery directly generalizes familiar state-space techniques. The notation of Q-stability is defined as a natural type of robust stability, and output feedback stabilizability is characterized in terms of Q-stabilizability and Q-detectability which in turn are related to full information and full control problems. Computation is in terms of convex linear matrix inequalities (LMIs), the controllers have a separation structure, and the parameterization of all stabilizing controllers is characterized as an LFT on a stable, free parameter

Keywords

feedback; linear systems; matrix algebra; robust control; state-space methods; transforms; uncertain systems; Q-detectability; Q-stability; convex linear matrix inequality; linear fractional transformations; output feedback; parameterization; robust stability; state-space method; uncertain linear systems; uncertainty blocks; Aerodynamics; Control systems; Dynamic scheduling; Linear feedback control systems; Linear systems; Machinery; Output feedback; Robustness; Stability analysis; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.481607

Filename

481607