Abstract:This paper presents a parameter identification method for nonlinear dynamic systems. Firstly, the derivative of the unknown parameters is introduced into the output error cost function of the system. Then, difference equations for the unknown parameters are deduced by using of the discrete variational principle, and solved simultaneously with state equation of the nonlinear system. Lastly, the to-be-identified parameters are guided from given initial conditions to their true numerical values with an iterative procedure. In addition, simulations for parameter identification of linear and nonlinear vibration systems are also presented to verify the proposed algorithm. Numerical results show that the parameter identification method is effective.
刘正山;吴志刚. 一种基于离散变分原理的非线性动力系统参数识别方法
[J]. , 2009, 28(2): 117-120,.
Liu Zhengshan;Wu Zhigang. A Parameter Identification Method for Nonlinear Dynamic Systems Based on the Discrete Variational Principle. , 2009, 28(2): 117-120,.