Linear Parameter Varying Systems: A Geometric Theory and Applications
| Authors: | Bokor Joszef, Hungarian Academy of Sciences, Hungary
Balas Gary, University of Minnesota, United States |
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| Topic: | 1.1 Modelling, Identification & Signal Processing |
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| Session: | Linear Parameter Varying Systems: a geometric theory and applications |
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| Keywords: | geometric control, invariant subspaces, vector space distributions, dynamic inversion, decoupling, observer design |
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Abstract
Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(rho); B(rho); C(rho) matrices depend on an unknown but at any time instant measurable vector parameter rho from P. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms for LPV systems affine in the parameters will be presented and proposed. Application of these results will be shown and referenced in solving various analysis (controllabilty/observability) problems, controller design and fault detection problems associated to LPV systems.
