Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters

In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framewor...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 55; no. 9; pp. 2130 - 2135
Main Authors Heemels, W P M H, Daafouz, J, Millerioux, G
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.09.2010
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Automatic
Automatic control
Computer science; control theory; systems
Control design
Control system analysis
Control systems
Control theory. Systems
Controllers
Design engineering
Electrical capacitance tomography
Engineering Sciences
Exact sciences and technology
Linear matrix inequalities
Linear matrix inequalities (LMIs)
linear parameter-varying (LPV) systems
Mathematical analysis
Modelling and identification
Observers
Output feedback
output feedback and observers
Robust control
separation principle
Stability
State feedback
Transient performance
Uncertain systems
Uncertainty
Transient response
Linear matrix inequalities (LMIs)
Linear parameter varying system
Separation principle
Closed feedback
Robust control
Time varying system
Uncertain system
Observer
Discrete time
output feedback and observers
Linear matrix inequality
System identification
linear parameter-varying (LPV) systems
Output feedback
robust control
separation principle
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Summary:In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framework allows to make tradeoffs between the admissible level of parameter uncertainty on the one hand and the transient performance on the other. In addition, the level of parameter uncertainty can be maximized while still guaranteeing closed-loop stability.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2010.2051072