Global Asymptotic Controllability Implies Input-to-State Stabilization

The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed-loop systems input-to-state stable (ISS) with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors a...

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Bibliographic Details
Published inSIAM journal on control and optimization Vol. 42; no. 6; pp. 2221 - 2238
Main Authors Malisoff, Michael, Rifford, Ludovic, Sontag, Eduardo
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2004
Subjects
Applied mathematics
Applied sciences
Closed loop systems
Computer science; control theory; systems
Control system analysis
Control theory
Control theory. Systems
Euclidean space
Exact sciences and technology
Feedback
Mathematical programming
Mathematics
Operational research and scientific management
Operational research. Management science
Optimization and Control
Closed feedback
Stabilization
Non linear control
Control synthesis
Controllability
Asymptotic approximation
Affine transformation
Actuator
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Summary:The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed-loop systems input-to-state stable (ISS) with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed. Our controllers have the property that they tolerate small observation noise as well.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012903422333