基于积分器理论的非线性动力系统参数估计。

Parameter estimation of nonlinear dynamical systems based on integrator theory.

机构信息

Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China.

出版信息

Chaos. 2009 Sep;19(3):033130. doi: 10.1063/1.3216850.

DOI:10.1063/1.3216850

PMID:19792010

Abstract

In this paper, a novel unknown parameter identifier of nonlinear dynamical systems is designed through the integrator theory, and the corresponding sufficient conditions for the existence of unknown parameter identifiers are presented. In order to illustrate the effectiveness of the proposed method, simulation results are given. The effects of system noise and measurement noise for the proposed method are discussed in detail. The comparative analysis between the proposed method based on integrator theory and the approach based on adaptive synchronization is also given.

摘要

本文通过积分器理论设计了一种新的非线性动力系统未知参数识别器，并给出了未知参数识别器存在的相应充分条件。为了说明所提方法的有效性，给出了仿真结果。详细讨论了系统噪声和测量噪声对所提方法的影响。还对基于积分器理论的方法和基于自适应同步的方法进行了比较分析。