Parameter-Coupling Probability Hyper-Chaotic Newton Iterative Method and Its Application in Induction Motor Motion

Many questions containing nonlinear factors in motor system are usually transformed into solution-finding of nonlinear equations. Newton iterative method is an important iterative technique for solving equations with the iteration process possessing sensitive dependence on initial guess point. For the first time, in this paper, a novel method of finding all solutions of nonlinear equations is put forward, in which the initial points generated by Parameter-Coupling Probability Hyper-Chaotic System are taken as chaotic sequences, and the probability characteristic of chaotic sequences is analyzed. A numerical example of multi-solution finding process of motor parameters shows that the new method proposed in this paper is correct and effective.