Designing a polytopic robust variable gain controller for flexible hypersonic vehicle

The existing method for designing of a flexible hypersonic vehicle control system have high computational complexity for handling the changes in flight parameters in wide envelopes and do not take into enough consideration its structural elastic effect. Hence we design a polytopic robust variable gain controller based on the tensor-product model transform and the feedback of measurable rigid state parameters. The controller uses the tensor-product model transform to obtain the polytopic model of the hypersonic vehicle and then uses the linear matrix inequality to solve its polytopic robust variable gain controller. To simplify the structure of the controller and reduce the number of its orders, we treat the elastic modal as external disturbance and then design the controller with the feedback of measurable rigid state parameters. The simulation results, given in Figs. 2, 3 and 4, and their anslysis show preliminarily that the controller thus designed can effectively track the reference command and ensure that the hypersonic vehicle has stable elastic modals in wide envelopes.