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System Identification Toolbox

Create linear and nonlinear dynamic system models from measured input-output data

System Identification Toolbox™ provides MATLAB® functions, Simulink® blocks, and an app for constructing mathematical models of dynamic systems from measured input-output data. It lets you create and use models of dynamic systems not easily modeled from first principles or specifications. You can use time-domain and frequency-domain input-output data to identify continuous-time and discrete-time transfer functions, process models, and state-space models. The toolbox also provides algorithms for embedded online parameter estimation.

The toolbox provides identification techniques such as maximum likelihood, prediction-error minimization (PEM), and subspace system identification. To represent nonlinear system dynamics, you can estimate Hammerstein-Weiner models and nonlinear ARX models with wavelet network, tree-partition, and sigmoid network nonlinearities. The toolbox performs grey-box system identification for estimating parameters of a user-defined model. You can use the identified model for system response prediction and plant modeling in Simulink. The toolbox also supports time-series data modeling and time-series forecasting.

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Learn the basics of System Identification Toolbox

Data Preparation

Plot, analyze, detrend, and filter time- and frequency-domain data, generate and import data

Linear Model Identification

Identify impulse-response, frequency-response, and parametric models, such as state-space and transfer function models

Nonlinear Model Identification

Identify nonlinear ARX, Hammerstein-Wiener, and grey-box models

Grey-Box Model Estimation

Estimate coefficients of linear and nonlinear differential, difference and state-space equations

Model Validation

Compare model to measured output, residual analysis, response plots with confidence bounds

Model Analysis

Discretize models, convert models to other types, linearize nonlinear models, simulate and predict output

Time Series Analysis

Analyze time series data by identifying linear and nonlinear models such as AR, ARMA, state-space, and grey-box models, performing spectral analysis, and forecasting model outputs

Online Estimation

Estimate model parameters and states during system operation, generate code and deploy to embedded targets