A Systematic LPV/LFR Modelling Approach Optimized for Linearised Gain Scheduling Control Synthesis

摘要

An often required step for analysis and control synthesis of non-linear and/or parameter varying systems is the linearisation at several settling points or frozen values of parameters. The choice of parameters and their gridding is often based on trial and error and can therefore be a very time consuming and repetitive task. This paper proposes a methodology for the parametrization and gridding dedicated to a gain scheduling control strategy. The v-gap metric is used to evaluate the impact of a scheduling parameter variation on the locally designed feedback system before synthesis. Hence, the suitability and necessary grid density of a scheduling parameter combination can be evaluated in an early stage. The novel procedure enhances the overall design step by introducing a sophisticated practice. The approach has been evaluated on a generic 6 DOF missile model, provided by MBDA Deutschland.