scholarly journals Recursive Subspace Model Identification Based On Vector Autoregressive Modelling

2008 ◽  
Vol 41 (2) ◽  
pp. 8872-8877 ◽  
Author(s):  
Ping Wu ◽  
ChunJie Yang ◽  
ZhiHuan Song
2015 ◽  
Vol 9 (11) ◽  
pp. 89 ◽  
Author(s):  
Siti Mariam Norrulashikin

In most meteorological problems, two or more variables evolve over time. These variables not only haverelationships with each other, but also depend on each other. Although in many situations the interest was onmodelling single variable as a vector time series without considering the impact other variables have on it. Thevector autoregression (VAR) approach to multiple time series analysis are potentially useful in many types ofsituations which involve the building of models for discrete multivariate time series. This approach has 4important stages of the process that are data pre-processing, model identification, parameter estimation, andmodel adequacy checking. In this research, VAR modeling strategy was applied in modeling three variables ofmeteorological variables, which include temperature, wind speed and rainfall data. All data are monthly data,taken from the Kuala Krai station from January 1985 to December 2009. Two models were suggested byinformation criterion procedures, however VAR (3) model is the most suitable model for the data sets based onthe model adequacy checking and accuracy testing.


2010 ◽  
Vol 10 (1) ◽  
Author(s):  
Beate Wild ◽  
Michael Eichler ◽  
Hans-Christoph Friederich ◽  
Mechthild Hartmann ◽  
Stephan Zipfel ◽  
...  

Author(s):  
Weishun Deng ◽  
Weimiao Yang ◽  
Jianwu Zhang ◽  
Pengpeng Feng ◽  
Fan Yu

A general predictive controller based on the subspace model identification method is proposed for vehicle stabilization. Traditional predictive controllers are always developed based on the principle model of vehicles, which inevitably suffers from parameter uncertainty and poor adaptability. In contrast to that, the proposed subspace-based general predictive controller is realized by a data-driven process and presents good adaptability in vehicle stability control. Inspired by subspace-based predictor construction, the keys of the predictive controller are as follows: (1) system model identification according to the model structure of the control object by input and output data; (2) output prediction of the system by the identified model; and (3) optimal control law designed by combining the linear–quadratic–Gaussian index with the predictive output. The main problem in the controller development lies in the recursive estimation of relevant matrices, which is limited by the subspace model identification theory. The implementation of the vector autoregressive with exogenous input model and the propagator method in subspace identification algorithm effectively solves the problem of estimation accuracy and calculation efficiency. Combined with a linear–quadratic–Gaussian index function, the predictive law for vehicle stability control is derived in detail. Finally, based on the vehicle model validated by standard road test, the effectiveness and robustness of the predictive controller are proved through the numerical simulations of various maneuvers under different road adhesive conditions.


1994 ◽  
Vol 4 ◽  
pp. 727-738 ◽  
Author(s):  
A. Fischer ◽  
Heinz Luck

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