Electronic Pacemaker ctronic pacemakers regulate the speed at whic.. the heart pumps blood. We consider the design a pacemaker to regulate heart rate, in which the closed-loop dynamics Pacemaker Неart Actual heart rate Desired heart rate Y(s) R(s) s² + 12s + 12K 12K described by the transfer function for K > 0 that is a positive constant. e system should satisfy the transient response characteristics: 1) peak time less than or equal to seconds, and 2) percent overshoot less than or equal to e- . 100 × 4.32%. 1. Compute the damping ratio ( and the natural frequency wn in terms of K. Which one of the following is true? (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 system

2 Electronic Pacemaker
Electronic pacemakers regulate the speed at whic.. the heart pumps blood. We consider the design
of a pacemaker to regulate heart rate, in which the closed-loop dynamics
Расemaker
Нeart
K
Desired
heart rate
Actual
+1
heart rate
Y(s)
R(s) s2 + 12s + 12K
12K
are described by the transfer function
for K > 0 that is a positive constant.
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.
Compute the damping ratio Ç and the natural frequency wn in terms of K. Which
one of the following is true?
(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:2 Electronic Pacemaker Electronic pacemakers regulate the speed at whic.. the heart pumps blood. We consider the design of a pacemaker to regulate heart rate, in which the closed-loop dynamics Расemaker Нeart K Desired heart rate Actual +1 heart rate Y(s) R(s) s2 + 12s + 12K 12K are described by the transfer function for K > 0 that is a positive constant. 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. Compute the damping ratio Ç and the natural frequency wn in terms of K. Which one of the following is true? (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.
Recall that it is desirable for peak time to be less than or equal to a/6 seconds, and percent
overshoot to be less than or equal to e-. 100 z 4.32%.
Transcribed Image Text:Recall that it is desirable for peak time to be less than or equal to a/6 seconds, and percent overshoot to be less than or equal to e-. 100 z 4.32%.
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