Simulink Control Design™ - MathWorks

(Tuis.) #1

  • Pulse width modulation (PWM) signals


For most applications, the states in your Simulink model should be at steady state.
Otherwise, your linear model is only valid over a small time interval.


Operating Point Impact on Linearization


Choosing the right operating point for linearization is critical for obtaining an accurate
linear model. The linear model is an approximation of the nonlinear model that is valid
only near the operating point at which you linearize the model.


Although you specify which Simulink blocks to linearize, all blocks in the model affect the
operating point.


A nonlinear model can have two very different linear approximations when you linearize
about different operating points.


The linearization result for this model is shown next, with the initial condition for the
integration x 0 = 0.


This table summarizes the different linearization results for two different operating
points.


Operating Point Linearization Result
Initial Condition = 5, State x1 = 5 30/s
Initial Condition = 0, State x1 = 0 0

Linearize Nonlinear Models
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