Bifurcation analysis of the asymmetric rolling missiles

Abstract

A nonlinear coupling roll-yaw motion general model for small aerodynamic asymmetric rolling missiles is presented to reveal the motion behavior of lock-in and catastrophic yaw in this research. And subsequently, local bifurcation and global bifurcation are both introduced to investigate the principle of lock-in quantitatively and qualitatively. Local dimension reduction of center manifold theorem is applied to analyze the local bifurcation and the stability. Numerical method is performed to investigate global bifurcation and roll lock-in motion. Typical topological models are established to indicate the fundamental mechanisms and characteristics of different dynamic motions. Global domains of attraction of multiple lock-in attractors of the system are determined by numerical method of point mapping under cell reference, and the initial conditions causing lock-in behavior are predicted.

The Control of Asymmetric Rolling Missiles Based on Improved Trajectory Linearization Control Method

“…Since the lock-in mechanism and the phenomenon of catastrophic yaw were revealed (Murphy 1989), the research about asymmetric rolling missile motion model and dynamic behaviors are widely investigated. By the use of coupling angular motion and roll motion of 5-degreesof-freedom equations, different dynamic behaviors such as limit and chaos of asymmetric rolling missile were studied (Murphy 1989;Ananthkrishnan and Raisinghani 1992;Mikhail 1998;Tanrkulu 1999;Sun et al 2015;Morote 2007;Morote et al 2013). Bifurcation analysis was introduced to investigate the evolutionary process of dynamic behaviors such as lock-in and limit circle in quantitatively and qualitatively ways (Sun et al 2015).…”