Anti-controlling Hopf bifurcation in a type of centrifugal governor system

摘要: Anti-controlling Hopf bifurcation is considered as one way to design limit circle into a dynamical system, and the oscillatory behavior of can be beneficial in many practical applications such mixing, low-energy navigation control fault diagnosis. In this paper, feedback problem designing centrifugal governor system addressed. A method proposed achieve three aspects controlling including existence, stability, adjusting amplitude frequency cycle designed. An explicit criterion eigenvalue assignment transversality conditions, without using computation, utilized derive linear gains responsible for existence. The center manifold theory normal form reduction nonlinear stability created circle. expressions approximate are developed controls cycle. Numerical simulations show that with desired properties at any pre-specified parameter point.