Hopf Bifurcation Analysis and Control for Electrical System of Military Vehicle

Electrical system of military vehicle is a typical parameterized nonlinear system where complicated bifurcations may exist and threaten its safe and stable operation. An algebraic criterion for Hopf bifurcation is presented briefly and ap-plied to find Hopf bifurcation point of the electrical system with automatic voltage regulator (AVR) dynamics in military vehicle. Hopf bifurcation controllers are designed for this electrical system by using wash-out filter, linear feedback, non-linear feedback and their combination. The linear feedback control makes the system bring Hopf bifurcation at preferable parameter, the nonlinear feedback control modifies the type of the bifurcation, and the wash-out filter enhances the sys-tem damping, thus, the Hopf bifurcation is eliminated and the electrical system stability is ensured. Simulation results show the controller's validity.