变体飞行器有限时间收敛LPV鲁棒控制

A sliding mode control strategy is proposed based on linear-parameter-varying (LPV) methodology for the robust control of a morphing aircraft with variable span. Using the Jacobian linearization approach as well as tensor product transformation, the polytopic LPV model of the aircraft in the wing varying process is formulated for controller synthesis. The robust sliding mode control scheme is developed using an LPV approach. The sufficient condition in form of linear matrix inequality (LMI) constrains is derived for the existence of a reduced-order sliding mode dynamics guaranteeing robust stability. Then, by the parameter-dependent Lyapunov function stability analysis, the synthesized reaching law is proved to drive the LPV system trajectories onto the predefined switching surface in a finite time against mismatched uncertainty. Simulation results in the nonlinear model demonstrate the global stability.