TP Model-based Robust Stabilization of the 3 Degrees-of-Freedom Aeroelastic Wing Section

Abstract

Active stabilisation of the 2 and 3 degrees-of-freedom (DoF) aeroelastic wind sections with structural nonlinearities led to various control solutions in the recent years. The paper proposes a control design strategy to stabilise the 3 Dof aeroelastic model. It is assumed that the aeroelastic model has uncertain parameters in the trailing edge dynamics and only one state variable, the pitch angle is measurable, therefore, robust output feedback control solution is derived based on the Tensor Product (TP) type convex representation of the aeroelastic model. The control performance requirements include robust asymptotic stability and constraint on the l2 norm of the control signal. The control performance requirements are formulated in terms of Linear Matrix Inequalities (LMIs). As the first step of the proposed strategy, the TP type model is obtained by executing TP transformation. As the second step, LMI based control design is performed resulting in controller and observer solution defined with the same polytopic structure as the TP type model. The validation and evaluation of the derived control solutions is based on numerical simulations.