V₁ + [-5..5] V e CHAPTER II-4. CONTROL OF MOTOR SPEED ERROR Controller Ge(s) Motor Position (V) Om Vm Motor System Gp(s) Position Sensor Hp(s) Motor Speed (rad/s) Wm 1 8 Motor Position (rad) Om Figure II-4.2: Block diagram of a position feedback control for the motor system

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64
Vr +
[-5..5] V
Vr +
[-5..5] V
Controller
Motor
Speed (V)
Wm
Ge(s)
Figure II-4.1: Block diagram of a speed feedback control for the motor system
As we did previously, the motor (plant) will be modeled by its first-order approximation,
Controller
Ge(s)
Motor
Position (V)
Om
Gp(s)
where K and 7 are process' DC gain and time constant, respectively.
=
Vm
Speed
Sensor
He(s)
63
K
TS+1
Vm
CHAPTER II-4. CONTROL OF MOTOR SPEED ERROR
Motor
System
Gp(s)
Motor
System
Gp(s)
Motor
Speed (rad/s)
Wm
Position
Sensor
Hp(s)
Motor
Speed (rad/s)
Wm
1
8
Motor
Position (rad)
Om
Figure II-4.2: Block diagram of a position feedback control for the motor system
Transcribed Image Text:64 Vr + [-5..5] V Vr + [-5..5] V Controller Motor Speed (V) Wm Ge(s) Figure II-4.1: Block diagram of a speed feedback control for the motor system As we did previously, the motor (plant) will be modeled by its first-order approximation, Controller Ge(s) Motor Position (V) Om Gp(s) where K and 7 are process' DC gain and time constant, respectively. = Vm Speed Sensor He(s) 63 K TS+1 Vm CHAPTER II-4. CONTROL OF MOTOR SPEED ERROR Motor System Gp(s) Motor System Gp(s) Motor Speed (rad/s) Wm Position Sensor Hp(s) Motor Speed (rad/s) Wm 1 8 Motor Position (rad) Om Figure II-4.2: Block diagram of a position feedback control for the motor system
Find the expressions of the static position and velocity error constants,
Kep and Kev, respectively. Use these error constants to deduce the steady-
state error for: (i) a step input V₁, and (ii) a ramp input Vrt. Do not
substitute the parameters with their values yet.
Transcribed Image Text:Find the expressions of the static position and velocity error constants, Kep and Kev, respectively. Use these error constants to deduce the steady- state error for: (i) a step input V₁, and (ii) a ramp input Vrt. Do not substitute the parameters with their values yet.
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