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非線形 ARX モデル

シグモイドやウェーブレットなどの動的ネットワークを使用した非線形動作モデル

非線形 ARX モデルは、ウェーブレット ネットワーク、ツリー分割、シグモイド ネットワークなどの動的な非線形推定器を使ってシステム内の非線形性を表すために使用します。ツールボックスでは、これらのモデルが idnlarx オブジェクトとして表されます。非線形 ARX モデルの推定は System Identification アプリで行うか、コマンド ラインで nlarx コマンドを使用して行えます。

アプリ

System IdentificationIdentify models of dynamic systems from measured data

関数

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idnlarxNonlinear ARX model
nlarxEstimate parameters of nonlinear ARX model
nlarxOptionsOption set for nlarx
isnlarxDetect nonlinearity in estimation data
initSet or randomize initial parameter values
getpvecModel parameters and associated uncertainty data
setpvecModify value of model parameters
polyregPowers and products of standard regressors
customregCustom regressor for nonlinear ARX models
addregAdd custom regressors to nonlinear ARX model
getregRegressor expressions and numerical values in nonlinear ARX model
customnetCustom nonlinearity estimator for nonlinear ARX and Hammerstein-Wiener models
linearClass representing linear nonlinearity estimator for nonlinear ARX models
neuralnetClass representing neural network nonlinearity estimator for nonlinear ARX models
treepartitionClass representing binary-tree nonlinearity estimator for nonlinear ARX models
wavenetCreate a wavelet network nonlinearity estimator object
sigmoidnetClass representing sigmoid network nonlinearity estimator for nonlinear ARX and Hammerstein-Wiener models
evaluateValue of nonlinearity estimator at given input
simSimulate response of identified model
simOptionsOption set for sim
predictPredict K-step ahead model output
predictOptionsOption set for predict
compareCompare identified model output and measured output
compareOptionsOption set for compare
forecastForecast identified model output
forecastOptionsOption set for forecast
plotPlot nonlinearity of nonlinear ARX model
evaluateValue of nonlinearity estimator at given input
getDelayInfoGet input/output delay information for idnlarx model structure
findopCompute operating point for Nonlinear ARX model
findopOptionsOption set for findop
operspecConstruct operating point specification object for idnlarx model
linearizeLinearize nonlinear ARX model
linappLinear approximation of nonlinear ARX and Hammerstein-Wiener models for given input

ブロック

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Nonlinear ARX ModelSimulate nonlinear ARX model in Simulink software
Iddata SinkExport simulation data as iddata object to MATLAB workspace
Iddata SourceImport time-domain data stored in iddata object in MATLAB workspace

トピック

What are Nonlinear ARX Models?

Understand the structure of a nonlinear ARX model.

Available Nonlinearity Estimators for Nonlinear ARX Models

Choose from sigmoid, wavelet, tree partition, linear, neural, and custom network nonlinearities.

Identifying Nonlinear ARX Models

Specify the Nonlinear ARX structure, and configure the estimation algorithm.

Validate Nonlinear ARX Models

Plot model nonlinearities, analyze residuals, and simulate and predict model output.

Using Nonlinear ARX Models

Simulate, predict, and forecast model output, linearize nonlinear ARX models, and import estimated models into the Simulink® software.

Linear Approximation of Nonlinear Black-Box Models

Choose the approach for computing linear approximations, compute operating points for linearization, and linearize your model.

How the Software Computes Nonlinear ARX Model Output

How the software evaluates the output of nonlinearity estimators and uses this output to compute the model response.

注目の例