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基于观测器的非线性陀螺系统的参数辨识
引用本文:刘晓君,李险峰,杨丽新.基于观测器的非线性陀螺系统的参数辨识[J].四川大学学报(自然科学版),2010,47(6):1351-1356.
作者姓名:刘晓君  李险峰  杨丽新
作者单位:1. 天水师范学院数学与统计学院,天水,741001
2. 兰州交通大学数理与软件工程学院,兰州,730070
基金项目:甘肃省自然科学基金(3ZS042-B25-049)
摘    要:本文利用参数辨识观测器对一类非线性陀螺系统的的参数辨识问题进行了研究.首先基于非线性动力学理论,利用混沌吸引子,全局分岔图和Lyapunov指数谱准确的表征了系统的混沌行为.通过构造合适的参数辨识观测器,成功地实现了该陀螺系统的所有未知参数的辨识.数值仿真验证了所设计的参数辨识观测器的有效性.

关 键 词:非线性陀螺系统    混沌    分岔    Lyapunov指数谱    参数辨识

Parameter identification for a class of nonlinear gyros base on identification observer
LIU Xiao-Jun,LI Xian-Feng,YANG Li-Xin.Parameter identification for a class of nonlinear gyros base on identification observer[J].Journal of Sichuan University (Natural Science Edition),2010,47(6):1351-1356.
Authors:LIU Xiao-Jun  LI Xian-Feng  YANG Li-Xin
Institution:School of Mathematics and Statistics, Tianshui Normal College;School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University;School of Mathematics and Statistics, Tianshui Normal College;School of Physical Science and Technology, Sichuan University;School of Physical Science and Technology, Sichuan University;School of Physical Science and Technology, Sichuan University;School of Physical Science and Technology, Sichuan University;School of Physical Science and Technology, Sichuan University
Abstract:The problem of parameter identification for a class of nonlinear gyros system base on identification observe is studied. The abundance dynamical behaviors of the system are presented by the chaotic attractor, global bifurcation graph and the Lyapunov exponent base on nonlinear dynamical theory. Moreover, the suitable parameter identification observers are designed for the system with fully unknown parameters. Numerical simulations show that the effectiveness and feasibility of the identification observes to identify the parameters.
Keywords:nonlinear gyros  chaos  bifurcation  Lyapunov exponent  parameter identification
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