Control of uncertain bilinear systems using linear controllers: stability region estimation and controller design
Date
2002
Authors
Huang, Shoudong
Lam, James
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
This paper studies the problem of stability region estimation and controller design for uncertain bilinear systems when linear controllers are used. Iterative linear matrix inequality (ILMI) algorithms are presented to estimate the closed-loop stability region and design the controllers. No tuning of parameters is needed in the design methods. The design aims to optimize between the size of the stability region, damping of the state variables, and the feedback gain.
Description
Keywords
Keywords: Algorithms; Closed loop control systems; Iterative methods; Linear control systems; Matrix algebra; Nonlinear control systems; System stability; Uncertain systems; Bilinear systems; Linear matrix inequalities; Stability region estimation; Control system s
Citation
Collections
Source
Proceedings of the 41st IEEE Conference on Decision and Control
Type
Conference paper