PARAMETER REDUCTION FOR LPV SYSTEMS VIA PRINCIPAL COMPONENTS ANALYSIS

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