Control-oriented modeling and identification of delta wing vortex-coupled roll dynamics

This paper presents the derivation of a control-oriented vortex-based nonlinear state space representation of free-to-roll motion of a delta wing based on a modified nonlinear indicial response method, in conjunction with an internal state-space representation. The relationship among the vortex breakdown location, rolling moment coefficient and roll angle are developed. The proposed model, in fact, integrates the vortex breakdown location on the delta wing surface into the delta wing roll dynamics for control purposes. Different parameter identification methods have been applied to approximate the uncertainties of the nonlinear dynamic model, such as rolling moment coefficient. Experimental results validate the proposed model.