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Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator. (English) Zbl 0683.93074
Summary: An orthogonal least squares estimator, which was originally derived for single-input single-output systems, is extended to multi-input multi- output non-linear systems. The estimator can provide information about the structure, or which terms to include in the model, and final parameter estimates in a very simple and efficient manner.
Multivariable non-linear model validity tests are also discussed and the results of applying the orthogonal estimator to both simulated and real data are included.

93E10 Estimation and detection in stochastic control theory
93E12 Identification in stochastic control theory
93C55 Discrete-time control/observation systems
93C35 Multivariable systems, multidimensional control systems
93C10 Nonlinear systems in control theory
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