Research And The Application Of Chaos Synchronization In Reluctance Motor

The chaotic motion is a complex and an unique movement form in the deterministic nonlinear systems, and the motion is unpredicted but bounded. The chaotic control is to use or restrain the chaos by using other control methods. Chaotic synchronization is a special application of chaotic control. Chaotic synchronization can make two or more different chaotic system achieve consistently in moving construction under the effect of coupling or driving. Chaotic synchronization is more and more becoming a hot topic in the chaotic research.This article firstly start from the characteristic of Lyapunov exponent and the fork in chaotic system. We give out the waveform and phase diagram of each state variable of the system based on the analysis on the chaotic state of the chaos model.Then we control the system by state feedback method.At last, we simulate the chaotic inverted pendulum system which is multi-variable, strong coupling, and is non-linear.The simulation results show that state feedback control method can restrain the chaotic phenomenon in the non-linear system.The dynamic properties of the system can be improved greatly when the feedback ratio increases limitly.In order to improve the control properties of a kind of reluctance motor which is three-phase and two-pole,we applied the self-adaptive chaotic synchronization method to this reluctance motor control system.We made the chatic model of reluctance motor under the control of vector.Then we reseached the condition of the reluctance motor system by the frequency graph of Lyapunov exponent.We desighed a kind of chaotic controller and its error system based on the self-adaptive chaotic synchronization method. The self-adaptive synchronization control rate and control rule is confirmed based on the principle of Lyapunov function stabilization and the Barbalat lemma. As we can see in the simulation results, thedrive system and response system could achieve the progressive synchronization effectively.The waveform and phase of those two systems can achieve the synchronization fastly. Finally we designed and analyzed the chaotic equality circuit of reluctance motor in Multisim10.0,which realized the chaotic control systems in simulation.