In this paper, a feedback control strategy for stabilizing vortex-coupled delta wing roll dynamics with state delay and parameter uncertainty in the rolling moment coefficient relying on a robust adaptive tracking neuro-controller, which employs a network of Gaussian Radial Basis Functions (RBF) to adaptively compensate for the rolling moment coefficient, is proposed. The stabilizing controller is shown to render the control system globally practically stable, whereas the robust adaptive tracking neuro-controller provides satisfactory tracking performance. The rolling moment coefficient, as a function of left and right vortex breakdown positions, is estimated online in an adaptive neuro-controller structure using a special feature of RBF networks for the delta wing case. The numerical simulation illustrates the applicability of the developed controller.Index Terms-Applied nonlinear control, Delay, Practical stability, Delta wing.
II. DELTA WING VORTEX-COUPLED ROLL DYNAMICSVortex breakdown location of free-to-roll motion over a delta wing is given as [11]: