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Trimming and Linearization

Find steady-state points, extract linear model of system around operating point

Simulink® software provides only basic trimming and linearization functions. For full trimming and linearization functionality, use Simulink Control Design software.

Simulink Control Design™ allows you to find operating points and compute exact linearizations of Simulink models at various operating conditions, and provides tools that let you compute simulation-based frequency responses without modifying your model.

Functions

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findopSteady-state operating point from specifications (trimming) or simulation
linearizeLinear approximation of Simulink model or subsystem
slLinearizerInterface for batch linearization of Simulink models
trimFind trim point of dynamic system
dlinmodExtract discrete-time linear state-space model around operating point
linmodExtract continuous-time linear state-space model around operating point using block by block linearization algorithm
linmod2Extract continuous-time linear state-space model around operating point using algorithm that reduces truncation error
linmodv5Extract continuous-time linear state-space model around operating point using full model perturbation algorithm

Blocks

Timed-Based LinearizationGenerate linear models in base workspace at specific times
Trigger-Based LinearizationGenerate linear models in base workspace when triggered
Trigger-Based Operating Point SnapshotGenerate operating points at triggered events

Apps

Model LinearizerLinearize Simulink models

Tools

Control Design Onramp with SimulinkFree, self-paced, interactive Simulink Control Design course (Since R2020b)

Topics

Simulink Control Design

  • Compute Steady-State Operating Points (Simulink Control Design)
    To obtain a steady-state operating point, you can trim your model using numerical optimization techniques or simulate your model until it reaches a steady-state condition.
  • Linearize Nonlinear Models (Simulink Control Design)
    Obtain a linear approximation of a nonlinear system that is valid in a small region around an operating point.
  • Choose Linearization Tools (Simulink Control Design)
    Simulink Control Design software lets you perform linear analysis of nonlinear models using a user interface, functions, or blocks.
  • Linearize Simulink Model at Model Operating Point (Simulink Control Design)
    Linearize a model at its operating point consisting of initial state values and input signals.
  • Linearize at Trimmed Operating Point (Simulink Control Design)
    You can linearize a Simulink model at an operating point that meets specified input, output, or state constraints.

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