비선형 ARX 모델

시그모이드, 웨이블릿과 같은 동적 네트워크를 사용하여 모델링한 비선형 동작

비선형 ARX 모델을 사용하여 웨이블릿 네트워크, 트리 분할, 시그모이드 네트워크와 같은 동적 비선형성 추정기를 이용해 시스템의 비선형성을 나타냅니다. 이들 모델은 툴박스에서 idnlarx 객체로 표현됩니다. System Identification 앱 또는 명령줄에서 nlarx 명령을 사용하여 비선형 ARX 모델을 추정할 수 있습니다.

앱

System Identification

측정된 데이터에서 동적 시스템의 모델 식별하기

함수

모두 확장

모델 추정

`idnlarx`	Nonlinear ARX model
`nlarx`	Estimate parameters of nonlinear ARX model
`nlarxOptions`	Option set for `nlarx`
`isnlarx`	Detect nonlinearity in estimation data
`init`	Set or randomize initial parameter values
`getpvec`	Obtain model parameters and associated uncertainty data
`setpvec`	Modify values of model parameters

모델 회귀 변수

`linearRegressor`	Specify linear regressor for nonlinear ARX model (R2021a 이후)
`polynomialRegressor`	Specify polynomial regressor for nonlinear ARX model (R2021a 이후)
`periodicRegressor`	Specify periodic regressor for nonlinear ARX model (R2022a 이후)
`customRegressor`	Specify custom regressor for nonlinear ARX model (R2021a 이후)
`getreg`	Regressor 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

비선형 및 선형 매핑 객체

`idWaveletNetwork`	Wavelet network function for nonlinear ARX and Hammerstein-Wiener models
`idSigmoidNetwork`	Sigmoid network function for nonlinear ARX and Hammerstein-Wiener models
`idTreePartition`	Tree-partitioned nonlinear function for nonlinear ARX models
`idCustomNetwork`	Custom network function for nonlinear ARX and Hammerstein-Wiener models
`idLinear`	Linear mapping object for nonlinear ARX models
`idGaussianProcess`	Gaussian process regression mapping function for nonlinear ARX and Hammerstein-Wiener models (requires Statistics and Machine Learning Toolbox) (R2021b 이후)
`idTreeEnsemble`	Decision tree ensemble mapping function for nonlinear ARX models (requires Statistics and Machine Learning Toolbox) (R2021b 이후)
`idSupportVectorMachine`	Support vector machine regression mapping function for nonlinear ARX models (requires Statistics and Machine Learning Toolbox) (R2022a 이후)
`idNeuralNetwork`	Multilayer neural network mapping function for nonlinear ARX models and Hammerstein-Wiener models (requires Statistics and Machine Learning Toolbox or Deep Learning Toolbox) (R2023b 이후)
`idFeedforwardNetwork`	(Not recommended) Multilayer feedforward neural network mapping function for nonlinear ARX models (requires Deep Learning Toolbox)
`evaluate`	Evaluate output values of `idnlarx` or `idnlhw` mapping object array for given set of input values

시뮬레이션, 예측 및 검증

`sim`	Simulate response of identified model
`simOptions`	Option set for `sim`
`predict`	식별된 모델의 향후 K-스텝 출력 사전 예측
`predictOptions`	Option set for `predict`
`compare`	Compare identified model output with measured output
`compareOptions`	Option set for `compare`
`forecast`	Forecast identified model output
`forecastOptions`	Option set for `forecast`
`nlarxPlot`	Plot nonlinearity of nonlinear ARX model (R2023a 이후)
`evaluate`	Evaluate output values of `idnlarx` or `idnlhw` mapping object array for given set of input values
`getDelayInfo`	Get input/output delay information for `idnlarx` model structure

선형화

`idnlarx/findop`	Compute operating point for Nonlinear ARX model
`findopOptions`	Option set for `findop`
`idnlarx/operspec`	Construct operating point specification object for `idnlarx` model
`idnlarx/linearize`	Linearize nonlinear ARX model
`linapp`	Linear approximation of nonlinear ARX and Hammerstein-Wiener models for given input

블록

모두 확장

시뮬레이션

Nonlinear ARX Model	Simulate nonlinear ARX model in Simulink software
Iddata Sink	시뮬레이션 데이터를 `iddata` 객체로 MATLAB 작업 공간으로 내보내기
Iddata Source	Import time-domain data stored in `iddata` object in MATLAB workspace

도움말 항목

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.

추천 예제

A Tutorial on Identification of Nonlinear ARX and Hammerstein-Wiener Models

Identify single-input-single-output (SISO) nonlinear black box models using measured input-output data.

스크립트 열기

Create Black-Box Models of a Robotic Arm System Using Neural Networks

Use neural networks as the nonlinear function when you model nonlinear ARX and Hammerstein-Wiener models. It compares the nonlinear systems estimated using different types of neural networks, activation functions, and number of layers.

라이브 스크립트 열기

Building Nonlinear ARX Models with Nonlinear and Custom Regressors

Use custom regressors in SISO and MIMO nonlinear ARX (IDNLARX) models.

라이브 스크립트 열기

Machine-Learning-Based Identification of Two-Tank System

Identify a black-box dynamic model of a nonlinear two-tank system using machine learning.

라이브 스크립트 열기

Machine-Learning-Based Identification of Nonlinear Magneto-Rheological Fluid Damper

Estimate a black-box dynamic model of a nonlinear magneto-rheological (MR) fluid damper using machine learning.

라이브 스크립트 열기

Surrogate Modeling Using Gaussian Process-Based NLARX Model

In this example, you replace a hydraulic cavitation cycle model in Simulink with a surrogate nonlinear ARX (NLARX) model to facilitate faster simulation.

라이브 스크립트 열기

Piezoelectric Actuator Model Identification Using Machine Learning

Identify a piezoelectric actuator nonlinear model using machine-learning-based techniques that include support vector machines and Gaussian process functions.

라이브 스크립트 열기

Nonlinear ARX Model of SI Engine Torque Dynamics

Describes modeling the nonlinear torque dynamics of a spark-ignition (SI) engine as a nonlinear ARX model. The identified model can be used for hardware-in-the-loop (HIL) testing, powertrain control, diagnostic, and training algorithm design. For example, you can use the model for aftertreatment control and diagnostics algorithm development. For more information on nonlinear ARX models, see Nonlinear ARX Models.

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