Electronic pacemakers for human hearts regulate the speed of the heart pump. A proposed

Chapter 0, Problem P5.17

(choose chapter or problem)

Electronic pacemakers for human hearts regulate the speed of the heart pump. A proposed closed-loop system that includes a pacemaker and the measurement of the heart rate is shown in Figure P5.17 [2,3]. The transfer function of the heart pump and the pacemaker is found to be G(s) = K s(s/12 + 1) Design the amplifier gain to yield a system with a settling time to a step disturbance of less than 1 second. The overshoot to a step in desired heart rate should be less than 10%. (a) Find a suitable range of K. (b) If the nominal value of K is K = 10, find the sensitivity of the system to small changes in K. (c) Evaluate the sensitivity of part (b) at DC (set s = 0). (d) Evaluate the magnitude of the sensitivity at the normal heart rate of 60 beats/minute.