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High-performance tape transport systems are designed with a small capstan to pull the tape past the
read/write heads and with take-up reels turned by DC motors. The tape is to be controlled at speeds up to 200 inches
per second, with start-up times as fast as possible, while preventing permanent distortion of the tape. Since we wish
to control the speed and tension of the tape, we will use a DC tachometer for the speed sensor and a potentiometer for
the position sensor. We will use a DC motor for the actuator. Then the linear model for the system is a unity feedback
system with the open-loop transfer function G(s) given by:
G(s) = K(s+4000)
s(s+1000)(s+3000)(s+2000+ j2000)(s+2000− j2000)
(1)
The specifications for the system are (1) a settling time of less than 12 ms, (2) an overshoot to a step position com-
mand of less than 10%, and (3) a steady-state velocity error of less than 0.5%. Determine a compensator scheme to
achieve these stringent specifications
Hig-----------h-p-----------erf-----------orm-----------anc-----------e t-----------ape----------- tr-----------ans-----------por-----------t s-----------yst-----------ems-----------