Wang Teng1,Yan Guirong1,Zhang Xinwu2
(1.School of Architectural Engineering and Mechanics,Xi'an Jiaotong University,Xi'an ¡¡710049,China;2.China Academy of Engineering Physics,Mianyang 621900,China)
Abstract:A new adaptive modeling algorithm, PDMDF (proportionally damped multidegree of freedom system),is proposed to build the model of a plant. It is derived by assimilating the process of iteration for the optimal weight coefficients to a particle movement on the hypersurface,the mean square error surface geometry in the space of filter parameters located in the gravitational field. The PDMDF algorithm is developed from the particle differential equation by introducing a proportional damping force and making all damping factors approach the critical damping.The nonlinear term in the particle differential equation is considered as a variable step size in the PDMDF algorithm.The simulation results show a faster convergence rate of the algorithm than that of least mean square algorithm at the same level of misadjustment.This new algorithm could be expected to apply to adaptive inverse control.
Keywords£ºleast mean square algorithm; adaptive filter; fast algorithm; dynamics of multidegree of freedom system; variable step size