LPV H2-Controller Synthesis using Nonlinear Programming

Controller synthesis for linear parameter varying (lpv) systems has received a lot of attention from the control community. This is mainly motivated by the wide range of non-linear dynamical systems that can be approximated by lpv-systems. In this paper a novel method is presented that, by only using local state space models as data, tries to solve the problem of finding a linear parameter varying output-feedback controller. The method uses non-linear programming and a quasi-Newton framework to solve the problem. The great advantages with the proposed method is that it is possible to impose structure in the controller and that you do not need an lpv-model, only state space models for different values of the scheduling parameters. Finally an example is presented to show the potential of the method.