CHAOS AND ITS SPEED FEEDBACK CONTROL IN CENTRIFUGAL FLYWHEEL GOVERNOR

The complex dynamics behavior of mechanical centrifugal flywheel governor are studied.The dynamical equation and the state equation of mechanical centrifugal flywheel governor are derived through Lagrangian equations. The route to chaos of the system is studied by the phase portraits and Poincare maps.It uses a speed feedback strategy to control the chaotic motion towards regular motion.Numerical simulation shows the effectiveness and feasibility of the strategy to get rid of chaos by stabilizing the related unstable periodic orbit.