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Using Nonlinear ARX Models

After identifying a nonlinear ARX model, you can use the model for the following tasks:

  • Simulation and prediction — At the command line, use sim and predict to simulate and predict the model output. To compare models to measured output and to each other, use compare. For information about plotting simulated and predicted output in the app, see Simulation and Prediction in the App. You can also specify the initial conditions for simulation and prediction. The toolbox provides several options to facilitate how you specify initial states. For example, you can use findstates and data2state to compute state values based on the requirement to maximize fit to measured output or based on operating conditions. See the idnlarx reference page for a definition of the nonlinear ARX model states. To learn more about how sim and predict compute the model output, see How the Software Computes Nonlinear ARX Model Output.

    You can also forecast the response of a dynamic system by using the forecast command. The command predicts future outputs of the system using past output measurements. For more information, see Forecasting Response of Nonlinear ARX Models.

  • Linearization — Compute linear approximation of nonlinear ARX models using linearize or linapp.

    The linearize command provides a first-order Taylor series approximation of the system about an operating point. linapp computes a linear approximation of a nonlinear model for a given input data. For more information, see the Linear Approximation of Nonlinear Black-Box Models. You can compute the operating point for linearization using findop.

    After computing a linear approximation of a nonlinear model, you can perform linear analysis and control design on your model using Control System Toolbox™ commands. For more information, see Using Identified Models for Control Design Applications and Create and Plot Identified Models Using Control System Toolbox Software.

  • Simulation and code generation using Simulink® — You can import estimated nonlinear ARX models into the Simulink software using the Nonlinear ARX block (IDNLARX Model) from the System Identification Toolbox block library. Import the idnlarx object from the workspace into Simulink using this block to simulate the model output.

    The IDNLARX Model block supports code generation with Simulink Coder™ software, using both generic and embedded targets. Code generation does not work when the model contains idCustomNetwork or idFeedforwardNetwork nonlinearity estimator, or custom regressors. For more information, see Simulate Identified Model in Simulink.

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