An analysis and design method for linear systems under nested saturation

This paper considers a linear system under nested saturation. Nested saturation arises, for example, when the actuator is subject to magnitude and rate saturation simultaneously. A condition is derived in terms of a set of auxiliary feedback gains for determining if a given ellipsoid is contractivel...

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Bibliographic Details
Published inSystems & control letters Vol. 48; no. 1; pp. 41 - 52
Main Authors Bateman, Alec, Lin, Zongli
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.01.2003
Elsevier
Subjects
Actuator saturation
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Nested saturation
Rate saturation
Rate saturation
Nested saturation
Actuator saturation
Attraction
Invariant
Linear system
Saturation
Linear matrix inequality
Feedback regulation
Control synthesis
Domain of attraction
Ellipsoid
Optimization
Actuator
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ISSN0167-6911
1872-7956
DOI10.1016/S0167-6911(02)00246-3

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Summary:This paper considers a linear system under nested saturation. Nested saturation arises, for example, when the actuator is subject to magnitude and rate saturation simultaneously. A condition is derived in terms of a set of auxiliary feedback gains for determining if a given ellipsoid is contractively invariant. Moreover, this condition is shown to be equivalent to linear matrix inequalities (LMIs) in the actual and auxiliary feedback gains. As a result, the estimation of the domain of attraction for a given set of feedback gains can be formulated as an optimization problem with LMI constraints. By viewing the feedback gains as extra free parameters, the optimization problem can be used for controller design.
ISSN:0167-6911
1872-7956
DOI:10.1016/S0167-6911(02)00246-3