A method that uses input/output measurements is developed for the estimation of the coefficients of stochastic Time-varying AutoRegressive Moving Average with eXogeneous imputs (TARMAX) models. The TARMAX coefficients are expressed as linear combinations of a set of pre-selected functions. The model coefficients estimation method is fully based on linear operations, does not require initial guess values and is suitable for micro-computer implementation. The good performance of the estimation method is verified through numerical examples. A TARMAX model is also used to capture the dynamics of a detailed highly nonlinear model of an automobile hydraulic active suspension system. The TARMAX model is used to relate a desired force provided by a corner processor to the actual force generated by the hydraulic actuator. The TARMAX model is shown to provide good signal prediction ability.
Identification of Armax Models With Time Dependent Coefficients
Contributed by the Dynamic Systems and Control Division of the THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the Dynamics Systems and Control Division June 2000. Associate Editor: S. Fassois
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Mrad, R. B., and Farag, E. (July 23, 2002). "Identification of Armax Models With Time Dependent Coefficients." ASME. J. Dyn. Sys., Meas., Control. September 2002; 124(3): 464–467. https://doi.org/10.1115/1.1485097
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