Convex hull manipulation does matter in LMI based observer design, a TP model transformation based optimisation

Authors:
Patrícia Gróf;Péter Baranyi;Péter Korondi
Affiliations:
Computer and Automation Research Institute, Cognitive Informatics Research, Budapest, Hungary and Budapest University of Technology and Economics, Dept. of Mechatronics, Optics and Engineering Inf ...;Computer and Automation Research Institute, Cognitive Informatics Research, Budapest, Hungary and Budapest University of Technology and Economics, Dept. of Telecommunications and Media Informatics ...;Computer and Automation Research Institute, Cognitive Informatics Research, Budapest, Hungary and Budapest University of Technology and Economics, Dept. of Mechatronics, Optics and Engineering Inf ...
Venue:
ACMOS'10 Proceedings of the 12th WSEAS international conference on Automatic control, modelling & simulation
Year:
2010

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Abstract

This paper deals with the topic of qLPV state-space model based control design in which LMIs are used to optimize the multi-objective control performance. In this paper we investigate how the convex hull of the polytopic model influences the state value estimation of the LMI based control design. We examine these influences through the control design of the two dimensional aeroelastic system's example. First we define various TP type polytopic model representations of a wing section whose vertices define different convex hulls. In the second step we investigate how these models lead to different performances of the state value estimation.