Semi-global stabilization of linear systems subject to output saturation

It is established that a SISO linear stabilizable and detectable system subject to output saturation can be semi-globally stabilized by linear output feedback if all its invariant zeros are in the closed left-half plane, no matter where the open loop poles are. This result complements a recent resul...

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Bibliographic Details
Published inSystems & control letters Vol. 43; no. 3; pp. 211 - 217
Main Authors Lin, Zongli, Hu, Tingshu
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 2001
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
High gain feedback
Low gain feedback
Saturation
Semi-global stabilization
System theory
Low gain feedback
Semi-global stabilization
Saturation
High gain feedback
Invariant
Feedback
Stabilization
Half plane
Open loop
Feedback regulation
Duality
SISO system
Non linear effect
Pole
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ISSN0167-6911
1872-7956
DOI10.1016/S0167-6911(01)00099-8

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Summary:It is established that a SISO linear stabilizable and detectable system subject to output saturation can be semi-globally stabilized by linear output feedback if all its invariant zeros are in the closed left-half plane, no matter where the open loop poles are. This result complements a recent result that such systems can always be globally stabilized by discontinuous nonlinear feedback laws, and can be viewed as dual to a well-known result: a linear stabilizable and detectable system subject to input saturation can be semi-globally stabilized by linear output feedback if all its poles are in the open left-half plane, no matter where the invariant zeros are.
ISSN:0167-6911
1872-7956
DOI:10.1016/S0167-6911(01)00099-8