1. one of the following is true? Compute the damping ratio ( and the natural frequency wn in terms of K. Which (a) For low values of K > 0, the system is underdamped. (b) For high values of K > 0, the system is underdamped. (c) For low values of K > 0, the system is undamped. (d) The system is overdamped for all values of K > 0.

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Subject: Control Systems

2
Electronic Pacemaker
Electronic pacemakers regulate the speed at which the heart pumps blood. We consider the design
of a pacemaker to regulate heart rate, in which the closed-loop dynamics
Расemaker
| Неart
K
Desired
Actual
s+1
heart rate
heart rate
Y(s)
are described by the transfer function
R(s)
12K
for K > 0 that is a positive constant.
82 + 12s + 12K
The system should satisfy the transient response characteristics: 1) peak time less than or equal to
7 seconds, and 2) percent overshoot less than or equal to e- . 100 z 4.32%.
Transcribed Image Text:2 Electronic Pacemaker Electronic pacemakers regulate the speed at which the heart pumps blood. We consider the design of a pacemaker to regulate heart rate, in which the closed-loop dynamics Расemaker | Неart K Desired Actual s+1 heart rate heart rate Y(s) are described by the transfer function R(s) 12K for K > 0 that is a positive constant. 82 + 12s + 12K The system should satisfy the transient response characteristics: 1) peak time less than or equal to 7 seconds, and 2) percent overshoot less than or equal to e- . 100 z 4.32%.
1.
one of the following is true?
Compute the damping ratio ( and the natural frequency wn in terms of K. Which
(a) For low values of K > 0, the system is underdamped.
(b) For high values of K > 0, the system is underdamped.
(c) For low values of K > 0, the system is undamped.
(d) The system is overdamped for all values of K > 0.
Transcribed Image Text:1. one of the following is true? Compute the damping ratio ( and the natural frequency wn in terms of K. Which (a) For low values of K > 0, the system is underdamped. (b) For high values of K > 0, the system is underdamped. (c) For low values of K > 0, the system is undamped. (d) The system is overdamped for all values of K > 0.
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