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Model Reduction

Model order reduction, low-order approximation, pole-zero cancellation

Working with lower-order models can simplify analysis and control design. Simpler models are also easier to understand and manipulate than high-order models. High-order models obtained by linearizing complex Simulink® models, interconnecting model elements, or other sources can contain states that do not contribute much to the dynamics of particular interest to your application. Use the Model Reducer app, the Reduce Model Order task in the Live Editor, or functions such as balred and minreal to reduce model order while preserving model characteristics that are important for your application.

For more information about ways to reduce model order, see Model Reduction Basics.


Model ReducerReduce complexity of linear time-invariant (LTI) models

Live Editor Tasks

Reduce Model OrderReduce complexity of linear time-invariant (LTI) models in the Live Editor


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balredModel order reduction
balredOptionsCreate option set for model order reduction
balrealGramian-based input/output balancing of state-space realizations
hsvd(Not recommended) Hankel singular values of dynamic system
hsvplotPlot Hankel singular values and return plot handle
hsvdOptions(Not recommended) Create option set for computing Hankel singular values and input/output balancing
minrealMinimal realization or pole-zero cancellation
sminrealStructural pole/zero cancellations
modredEliminate states from state-space models
freqsepSlow-fast decomposition
freqsepOptionsOptions for slow-fast decomposition