The differential equation model for the motor torque m(t) required for a certain speed control system is
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The differential equation model for the motor torque m(t) required for a certain speed control system is
where the desired speed is !d(t) and K is a constant called the control gain.
a. Use the Laplace transform method to find the unit-step response [that is, υd(t) is a unit-step function]. Use zero initial conditions.
b. Use symbolic manipulation in MuPAD to nd the value of the peak torque in terms of the gain K.
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