Study Of The Chaotic Control Under Harmonic Excitation And Noise In The Ship Navigation System

In real life, when we study a similar nonlinear system such as: sports form desultorily, norules to follow, as well as random variables can occur when the uncertainty change at any time,we would say system appeared chaos phenomenon. Chaos in their own unique way of movementexists in the research field of nonlinear dynamics. It is because of this strange chaos movementway, in chaos was found in earlier years, it gives the majority of people in mind formed theimpression that when there was a chaotic system, its movement form, no rules to follow, it isbelieved that once the system is chaotic phenomena occur, no any means and methods to changethis chaotic motion form, and even chaos will bring to people’s production and life of theconsequence is unimaginable. To do this when we met in daily life some actual nonlineardynamic system, they appeared chaos, control and eliminate the chaotic system has a harmfuleffect on production, living and disadvantages is particularly important.In this paper, the nonlinear dynamic behavior of a ship navigation system analysis, and putforward the two kinds of radial basis function (RBF) neural network and sliding mode control ofchaos control method to control the system, respectively. The main content of the thesis includesthe following several parts:Chapter One: Reviewing the development course of chaos, chaos control research in thereal meaning of life. Briefly discusses the main content of this article.Chapter Two: Introduces in detail some basic knowledge about chaos theory and chaoticcontrol and control methods. This paper expounds the main methods of the study on chaoscontrol, such as: OGY control method, pulse control method, the radial basis function neuralnetwork control and fuzzy sliding mode control method and radial basis function (RBF) neuralnetwork method used in this paper, and the sliding mode variable structure control of the fusionof the two methods.Chapter Three: This chapter interconnected power of a simple nonlinear simple analysis ofthe dynamic behavior of power system, combines the excellent characteristics of fuzzy controland sliding mode control for the nonlinear system to carry on the effective chaos control; Finallynumerical simulation verified that this method is fast track and strong convergence effect.Chapter Four: Under the harmonious vibration is studied in this course system of nonlineardynamic behavior of the ship. Combination of bounded noise and random Melnikov method isdeduced ship heading system chaos threshold, and use matlab to draw the system, safe basin ofhomoclinic orbits and Poincare section, Lyapunov index; The dynamic behavior of the numerical image analysis, proved effective of bounded noise effect the chaotic behavior of the system.Application of radial basis function neural network sliding-mode control for ship the chaoticdynamic behavior of system control, finally, numerical simulation and the simulation resultsshow the feasibility and the effectiveness of the proposed control method.Chapter Five: a brief summary of the present work is given. Moreover, the further researchdirection is pointed out.