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The Art of the Helicopter John Watkinson - Karatunov.net

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56 <strong>The</strong> <strong>Art</strong> <strong>of</strong> <strong>the</strong> <strong>Helicopter</strong><br />

Fig. 2.35 (a) A simple feedback system compares <strong>the</strong> actual load position with <strong>the</strong> desired position. To prevent<br />

hunting, <strong>the</strong> load velocity may be measured with a tachometer (b) or by differentiating <strong>the</strong> actual position signal.<br />

This is not acceptable in any precision system. <strong>The</strong> problem <strong>of</strong> hunting is due to<br />

considering only <strong>the</strong> position <strong>of</strong> <strong>the</strong> load. <strong>The</strong> solution is to consider <strong>the</strong> load’s velocity<br />

as well. In this way <strong>the</strong> control system knows how much ki<strong>net</strong>ic energy is stored in<br />

<strong>the</strong> moving load so that it can be brought to rest by applying a suitable reverse drive.<br />

Figure 2.35(b) shows that in this example <strong>the</strong> load velocity can be measured with a<br />

tachogenerator connected to <strong>the</strong> motor shaft. Many servo motors are designed with<br />

an integral tachometer.<br />

If <strong>the</strong> control potentiometer is set to a new position, <strong>the</strong> position error will drive <strong>the</strong><br />

motor to cancel <strong>the</strong> error. As <strong>the</strong> load ga<strong>the</strong>rs speed, <strong>the</strong> load velocity signal will be<br />

subtracted from <strong>the</strong> position error. As <strong>the</strong> load approaches <strong>the</strong> desired position, <strong>the</strong><br />

position error becomes smaller, and when <strong>the</strong> position error is less than <strong>the</strong> velocity,<br />

<strong>the</strong> signal driving <strong>the</strong> motor will actually reverse polarity so that <strong>the</strong> load is retarded.<br />

This retardation process damps <strong>the</strong> hunting tendency. Instead <strong>of</strong> having a separate<br />

tachometer <strong>the</strong> velocity <strong>of</strong> <strong>the</strong> load can be obtained by differentiating <strong>the</strong> actual position<br />

signal.<br />

<strong>The</strong> performance <strong>of</strong> a servo may be tested by measurement <strong>of</strong> <strong>the</strong> response to a step<br />

input. <strong>The</strong> speed <strong>of</strong> response can never exceed <strong>the</strong> limits set by <strong>the</strong> motor power and

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