Parameter Reduction for LPV Systems via Principal Components Analysis

Authors:	Kwiatkowski Andreas, Hamburg University of Technology, Germany Werner Herbert, Hamburg University of Technology, Germany
Topic:	1.1 Modelling, Identification & Signal Processing
Session:	Model Reduction Techniques
Keywords:	Nonlinear Control, Lyapunov methods, Scheduling algorithms

Abstract

This paper is concerned with the reduction of the number of parameters of LPV and quasi LPV models for thesynthesis of LPV gain scheduling controllers. The number of parameters is reducedby the principal component analysis of typical scheduling trajectories.This method enables a systematic trade-off between the number of reduced parametersand the desired accuracy. The approach is illustrated with a quasi LPV model of an arm driven invertedpendulum.