Parallel Compensation of Servo Systems

This example shows the simulation of a parallel compensated servo system using

QFIRE Studio

.

Introduction

Parallel compensation in servo systems is usually implemented with a velocity feedback sensor and a proportional controller. Here, we use the

QFIRE CTR-101

as a digital controller and the plant model below (see [1]):

G(s)=20(s+1)(s+4)G(s) = \frac{20}{(s+1)(s+4) }

In Figure 1, the inner loop is compensated by the

QFIRE

while the outer loop tracks the reference position signal.

Figure 1 - Control System using

QFIRE CTR-101

as Controller

Simulation

The controller gain was determined as 

k=0.4489899Vsradk=0.4489899\frac{Vs}{rad}
. This is an approximation to
k=0.449Vsradk=0.449\frac{Vs}{rad}
, it is automatically computed by

QFIRE Studio

as the best fixed-point approximation supported by

QFIRE CTR-101

. It sets the damping ratio of the dominant closed-loop poles to 0.4.

A 1V offset scaling is required to fit the computed control signal in the expected range. Figure 2 shows all blocks used in the control task.

Figure 2 - P controller

Consequently, the scale correction outside the controller is performed by an amplifier circuit.

The step response of the position control system is shown in Figure 3.

Figure 3 - Unit-step response of the position control system using

QFIRE CTR-101

Bibliographic References

[1] - Katsuhiko Ogata,

Modern Control Engineering

, Fourth Edition, Delhi: Pearson, 2003.

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