Identification of multiple-input single-output Hammerstein models using Bézier curves and Bernstein polynomials

DOI10.1016/j.apm.2010.11.008zbMath1217.93171OpenAlexW2002088832MaRDI QIDQ552441

Mohamadreza Ahmadi, Hamed Mojallali

Publication date: 21 July 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.11.008

zbMATH Keywords

system identificationHammerstein modelBézier-Bernstein polynomial functionsLevenberg-Marquart algorithm

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Least squares and related methods for stochastic control systems (93E24) Identification in stochastic control theory (93E12) Approximations and expansions (41A99) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (13)

Adaptive Control Scheme for Large‐Scale Interconnected Systems Described by Hammerstein Models ⋮ Recursive least squares parameter estimation for a class of output nonlinear systems based on the model decomposition ⋮ Convergence properties of the least squares estimation algorithm for multivariable systems ⋮ Shape-adjustable generalized Bézier surfaces: construction and it is geometric continuity conditions ⋮ Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems ⋮ High speed machining for linear paths blended with \(G3\) continuous Pythagorean-hodograph curves ⋮ Parameter estimation of multiple‐input single‐output Hammerstein controlled autoregressive system based on improved adaptive moment estimation algorithm ⋮ Gradient based estimation algorithm for Hammerstein systems with saturation and dead-zone nonlinearities ⋮ Maximum likelihood stochastic gradient estimation for Hammerstein systems with colored noise based on the key term separation technique ⋮ Hierarchical least squares based iterative estimation algorithm for multivariable Box-Jenkins-like systems using the auxiliary model ⋮ Some stochastic gradient algorithms for Hammerstein systems with piecewise linearity ⋮ Iterative parameter identification methods for nonlinear functions ⋮ Filtering based multi-innovation extended stochastic gradient algorithm for Hammerstein nonlinear system modeling

Uses Software

• AMB

Cites Work

• Unnamed Item
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• Analytical modeling of active magnetic bearing geometry
• Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
• Auxiliary model-based least-squares identification methods for Hammerstein output-error systems
• Auxiliary model-based RELS and MI-ELS algorithm for Hammerstein OEMA systems
• A new model for prediction the strain field and extrusion pressure in ECAE process of circular cross section
• Identification of Hammerstein nonlinear ARMAX systems
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• A nonparametric polynomial identification algorithm for the Hammerstein system
• Robustness analysis of polynomials with polynomial parameter dependency using Bernstein expansion
• Stochastic approximation in nonparametric identification of Hammerstein systems
• A Note on the Connection Between Bezier Curves and Linear Optimal Control
• A method for the solution of certain non-linear problems in least squares

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