On Inexact LPV Control Design of Continuous-Time Polytopic Systems

Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linea...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2008-08, Vol.53 (7), p.1674-1678
Main Authors: Daafouz, J., Bernussou, J., Geromel, J.C.
Format: Article
Language:English
Subjects:
Aerodynamics
Applied sciences
Computer science
control theory
systems
Control design
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Dynamic programming
Exact sciences and technology
Linear matrix inequalities
Linear matrix inequality (LMI)
linear parameter-varying (LPV) control design
Linear programming
Lyapunov method
Output feedback
Robust control
uncertain linear systems
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Summary:Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linear matrix inequality (LMI) solvers in the case of polytopic parameter dependence. A bounded uncertainty set is defined from the difference between the measured and the true parameters from which LMI stabilization and performance conditions are obtained after bounding. As a desired property, the proposed conditions reduce to the classical LPV ones whenever the true parameters are available for control synthesis.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2008.928119