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Parameter estimation of MIMO two-dimensional ARMAX model based on IGLS method

Hayati Zohreh, Shafieirad Mohsen, Zamani Iman, Amiri Mehra Amir Hossein, Abbasi Zohreh

Control and Cybernetics

2021

Vol. 50, No. 3

303--322

This paper presents an iterative method for the unbiased identification of linearMultiple-InputMultiple-Output (MIMO) discrete two-dimensional (2D) systems. The system discussed here has Auto-Regressive Moving-Average model with exogenous inputs (ARMAX model). The proposed algorithm functions on the basis of the traditional Iterative Generalized Least Squares (IGLS) method. In summary, this paper proposes a two-dimensional Multiple-Input Multiple-Output Iterative Generalized Least Squares (2DMIGLS) algorithm to estimate the unknown parameters of the ARMAX model. Finally, simulation results show the efficiency and accuracy of the presented algorithm in estimating the unknown parameters of the model in the presence of colored noise.