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Representations of non-linear systems: the NARMAX model
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1989
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Nonlinear System IdentificationEngineeringNarmax ModelDiscrete Dynamical SystemSystems EngineeringLinear SystemModeling And SimulationNonlinear ProcessNon-linear SystemsAbstract Input-output RepresentationsNonlinear Time SeriesNon-linear Discrete-time Systems
Abstract Input-output representations of non-linear discrete-time systems are discussed. It is shown that the NARMAX (Non-linear AutoRegressive Moving Average with eXogenous inputs) model is a general and natural representation of non-linear systems and contains, as special cases, several existing non-linear models. The problem of approximating non-linear input-output systems is also addressed and several properties of non-linear models are highlighted using simple examples.