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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
getpvecObtain model parameters and associated uncertainty data
setpvecModify values of model parameters
linearRegressorSpecify linear regressor for nonlinear ARX model
polynomialRegressorSpecify polynomial regressor for nonlinear ARX model
customRegressorSpecify custom regressor for nonlinear ARX model
getregRegressor expressions and numerical values in nonlinear ARX model
polyreg(Not recommended) Powers and products of standard regressors
customreg(Not recommended) Custom regressor for nonlinear ARX models
addreg(Not recommended) Add custom regressors to nonlinear ARX model
customnetCustom network function for nonlinear ARX and Hammerstein-Wiener models
linearLinear mapping object for nonlinear ARX models
neuralnetMultilayer feedforward neural network mapping function for nonlinear ARX models (requires Deep Learning Toolbox)
treepartitionTree-partitioned nonlinear function for nonlinear ARX models
wavenetWavelet network function for nonlinear ARX and Hammerstein-Wiener models
sigmoidnetSigmoid network function 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 Sinkシミュレーション データを iddata オブジェクトとして MATLAB ワークスペースにエクスポート
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 Mapping Functions 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