Analysis And Control Of Nonlinear Circuit Chaotic Phenomena And The Circuit Realization

Chaos is a kind of special nonlinear natural phenomenon. It reveals the disorderly nature in an orderly movement. Chaotic circuit is an important branch of nonlinear science, which research chaos theory in the application and theory research. Of course, the chaotic circuit experiment plays an important role.Chaotic system is sensitive to initial value, but in the long term, the system behavior is unpredictable. Chaos control is the key to chaotic application, when we feel chaos is harmful, chaos is controlled; when we feel chaos is useful, we should use chaos. Stability is the most important problem in power system and the power system chaotic phenomenon can make the system collapse and column. The system is bigger and the stability of the power system is a worrying problem. Therefore,the research on chaos to power system security and stability of power system has important significance. Based on a second-order power system as the research object, we should in-depth research chaos in power system in this paper; Permanent magnet synchronous motor is widely application in the industry. But it also possesses the characteristics of multivariable nonlinear and chaotic phenomenon will happen under certain conditions, so the control of permanent magnet synchronous motor chaotic is very important. Design of chaotic circuit is the precondition of chaos application. Its significance is very significant. Chaos circuit of is very high demand in hardware, some chaotic circuit is possible in theory, but actually not necessarily can use hardware circuit implementation. Especially it is very difficult for some large circuit design and the implementation.This paper studies the power system and permanent magnet synchronous motor circuit, and using Melnikov method analysis chaotic systems of power system, to feedback control of chaotic system of permanent magnet synchronous motor, simulation results are ideal.In this paper, the chaos theory is in-depth research, mainly finished the following work:1. Summarized the characteristics and their regularity of chaotic systems.2. Using Melnikov method analyzes the power system, and do the necessary certificate.3. Using differential geometry method and feedback control of chaotic system of permanent magnet synchronous motor. And it gets a good feedback effects.4. The design and construction of the chaotic displays.It can observe and measure the chaotic evolution process.Chaos demonstrators has theory value and practical value in the nolinear circuit teaching have a certain worth.