DocumentCode
1348644
Title
Closed-form control laws for linear time-varying systems
Author
Lu, Ping
Author_Institution
Dept. of Aerosp. Eng. & Eng. Mech., Iowa State Univ., Ames, IA, USA
Volume
45
Issue
3
fYear
2000
fDate
3/1/2000 12:00:00 AM
Firstpage
537
Lastpage
542
Abstract
Closed-form control laws are developed for continuous, linear, time-varying (LTV) systems based on approximate solutions to a receding-horizon control problem. These control laws can be derived in the first- or higher order closed forms. Once obtained, the control laws need no explicit gain-scheduling or online integrations to implement. The notion of practical stability is used, and practical or uniform asymptotic stability of the closed-loop system, depending on conditions imposed on the system, is established
Keywords
asymptotic stability; closed loop systems; linear systems; optimal control; quadratic programming; time-varying systems; approximate solutions; closed-form control laws; first-order closed forms; higher order closed forms; linear time-varying systems; practical stability; receding-horizon control problem; uniform asymptotic stability; Circuits; Control systems; Covariance matrix; Equations; Error correction; Frequency; Polynomials; Read only memory; Reduced order systems; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.847739
Filename
847739
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