DocumentCode
832078
Title
Stable feedback control of bilinear systems
Author
Longchamp, R.
Author_Institution
University of Illinois, Urbana, IL, USA
Volume
25
Issue
2
fYear
1980
fDate
4/1/1980 12:00:00 AM
Firstpage
302
Lastpage
306
Abstract
In this paper, we present a feedback control law for a class of bilinear plant. It exhibits a bang-bang structure using a linear switching function. Asymptotic stability of the closed-loop system is derived by applying a generalized version of the Lyapunov´s direct method. The primary advantage of our approach lies in its simplicity, indicating that the field of potential applications is quite wide. In order to test use and effectiveness of the procedure, the practical case of a continuous stirred tank reactor is investigated by digital simulation.
Keywords
Asymptotic stability; Bang-bang control; Bilinear systems, continuous-time; Lyapunov methods; State-feedback; Asymptotic stability; Differential equations; Ear; Estimation error; Feedback control; Filtering theory; Kalman filters; Nonlinear systems; Stochastic processes; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1980.1102303
Filename
1102303
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