Linearization Techniques

Linearize models to design robust control systems and assess control system stability

Linearize electrical models using direct linearization, averaging methods, and estimation from time-series methods.

Topics

Linearization Techniques for Control Design
Linearize Simscape™ models to support stability analysis and control design.
Linearize Models with Converters Using Averaged Switching
Linearize models with converter blocks using averaged switching in Simscape Electrical™ software.
Estimate Linear Models from Simulation Results
Use Simulink^® Control Design™ software to insert signals into a simulation for frequency response estimation.

Featured Examples

Linearize DC-DC Converter Model

Linearize a model of a DC-DC converter using averaged switching or an average-value converter.

Since R2023b
Open Live Script

New

Design PI Controller for DC-DC Converter

Design a PI controller for a DC-DC converter using classical control theory. Alternatively, you can use Steady State Manager, Model Linearizer, Frequency Response Estimator, or PID tuner apps to streamline the design.

Since R2024b
Open Live Script

Estimating Transfer Function Models for a Boost Converter

Estimate a transfer function from frequency response data.

(System Identification Toolbox)

LPV Approximation of Boost Converter Model

Approximate a nonlinear Simscape Electrical model using a linear parameter varying model.

(Simulink Control Design)

Frequency Response Estimation for Power Electronics Model Using Pseudorandom Binary Signal

Identify a frequency-domain model for a high-frequency power electronics system using a PRBS input signal at command line.

(Simulink Control Design)

Design PID Controller Using Simulated I/O Data

Tune a PID controller for plants that cannot be linearized. You use PID Tuner to identify a plant for your model. Then tune the PID controller using the identified plant. Identifying a plant model in the app requires System Identification Toolbox™ software.

(Simulink Control Design)

Design PID Controller Using Plant Frequency Response Near Bandwidth

Tune a PID Controller for a plant that does not linearize using the Frequency Response Based PID Tuner.

(Simulink Control Design)

Design Controller for Boost Converter Model Using Frequency Response Data

To design a controller for a Simscape Electrical model that cannot be linearized, you can estimate the frequency response of your plant and import this estimated data into PID Tuner.

(Simulink Control Design)

Design PID Controllers for Three-Phase Rectifier Using Closed-Loop PID Autotuner Block

Tune controllers for a Vienna-rectifier-based power factor corrector using the Closed-Loop PID Autotuner block.

(Simulink Control Design)

Specify Linearization for Model Components Using System Identification

You can use System Identification Toolbox™ software to identify a linear system for a model component that does not linearize well, and use the identified system to specify its linearization.

(Simulink Control Design)

Control of a Linear Electric Actuator Using Control System Tuner

Use Control System Tuner to tune a multiloop control system modeled in Simulink.

(Simulink Control Design)

Tune Field-Oriented Controllers Using Closed-Loop PID Autotuner Block

Tune a field-oriented controller for a permanent magnet synchronous machine in one simulation.

(Simulink Control Design)

Tune Field-Oriented Controllers for an Asynchronous Machine Using Closed-Loop PID Autotuner Block

Tune a field-oriented controller for an asynchronous machine in one simulation.

(Simulink Control Design)

Tune Field-Oriented Controllers for a PMSM Using Closed-Loop PID Autotuner Block

Tune a field-oriented controller for a PMSM-based electrical-traction drive in one simulation.

(Simulink Control Design)

Tune Field-Oriented Controllers Using SYSTUNE

Tune a field-oriented controller for an asynchronous machine in one simulation.

(Simulink Control Design)

BLDC Motor Speed Control with Cascade PI Controllers

Use Closed-Loop PID Autotuner blocks to tune two PI controllers in a cascade configuration.

(Simulink Control Design)

Tune PID Controller in Real Time Using Closed-Loop PID Autotuner Block

Tune a single-loop PID controller in real time by injecting sinusoidal perturbation signals at the plant input and measuring the plant output during a closed-loop experiment.

(Simulink Control Design)