DocumentCode
1452446
Title
Rejection of persistent ℒ∞-bounded disturbances for nonlinear systems
Author
Lu, Wei-Min
Author_Institution
IBM Corp., San Jose, CA, USA
Volume
43
Issue
12
fYear
1998
fDate
12/1/1998 12:00:00 AM
Firstpage
1692
Lastpage
1702
Abstract
A nonlinear L1-control problem, which deals with the rejection of persistent bounded disturbances for nonlinear systems, is investigated. The concept of invariance plays an important role in the L1-performance analysis and synthesis. The main idea is to construct an invariant subset in the state space such that achieving disturbance rejection is equivalent to restricting the state dynamics to the subset. The relation between the L1-control of a continuous-time system and the l1 -control of its Euler approximated discrete-time system is established
Keywords
continuous time systems; discrete time systems; invariance; minimax techniques; nonlinear systems; optimal control; robust control; state-space methods; bounded disturbances; continuous-time system; discrete-time system; disturbance rejection; invariance; minimax technique; nonlinear systems; optimal control; robust control; state dynamics; state space; Control systems; Linear systems; Minimax techniques; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Piecewise linear approximation; Robust control; State feedback; State-space methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.736066
Filename
736066
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