Dc Pwm Speed Control System Chaos

One of the basic tenets of classical science is that deterministic systems are completely predictable-given the initial condition and the equation describing a system, the behavior of the system can be predicted for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior.Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engineers many times during the last century only to be dismissed as noise. Chaos is such a wide-phenomenon that it has now been reported in virtually every scientific discipline, astronomy, biology, physics, chemistry, engineering, geology, mathematics, medicine, meteorology, and even social sciences.Chaos is originated from the nonlinear. Unlike linear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess dosed-form solutions. The development of the computer contributes much to the chaos research. The reason is simple: the computer can calculate a solution of a nonlinear system, and the explicit conception can be got by the simulation.This paper is supported by Fund of Science and Technology Development of Shanghai Municipal Education Committee. The project's name is Marine Large Power Generator Modeling and Analysis Based on Chaotic Neural Network (03lk06). By the use of computer, this paper establishes the mathematical model of the DC drive system. The principle research contents are presented as follow:(1)The current and the rotate speed bifurcations are observed under the condition of buck drive system and the H-type drive system. The abundant fantastic chaotic phenomenon in the DC drive system is analyzed qualitatively.(2) Quantitative analysis is conducted by calculating the Lyapunov exponent of the system making use of the time series, which is considered from the inverse angle.(3) Greatly improved algorithm is offered and has been tested by the Logisticmap. This algorithm effectively resolved the insufficient-even problem caused by the finite data.(4) Both reconstructed phase-space and the real phase-space are used to analyze the system. The difference is compared, which confirmed the feasibility of the phase-space reconstruction technique in the chaotic research. For the high-dimension system, the phase space can be reconstructed through on dimension information.