High-performance tape transport systems are designed with a small capstan to pull the tape past the read/write

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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 as fast as possible, while preventing permanent distortion of the tape. Since we wish to control the speed and the 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

where Y(s) is position. The specifications for the system are (1) Settling time of Ts  ≤ 12 ms (2) A percent overshoot to a step position command of P.O. ≤ 10% (3) A steady-state velocity error of less than 0.5%. Determine a compensator to achieve these specifications

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Modern Control Systems

ISBN: 9780134407623

13th Edition

Authors: Richard C. Dorf, Robert H. Bishop

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