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Advanced Modern Control System Theory and Design by Stanley M. Shinners

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ANSWERS TO SELECTED PROBLEMS

CHAPTER 1

  1. 1.4. images
  2. 1.6.
    1. Crossover frequency = 4.483 rad/sec, phase margin = 32.44°, gain margin = 8.657dB.
    2. K = 9.9
    3. Crossover frequency = 13.61 rad/sec, phase margin = −30.62°, gain margin = −11.26 dB.

CHAPTER 2

  1. 2.1.
    1. The electrical network illustrated in Table 2.4, items 3, with

      images

      and cascaded with an amplifier whose gain is 4.6 will satisfy the specifications

    2. The electrical network illustrated in Table 2.4, item 4, with

      images

      and cascaded with an amplifier whose gain is 4.6 will satisfy the specifications.

    3. The electrical network illustrated in Table 2.4, item 5, with

      images

      will satisfy the specifications.

  2. 2.2.
    1. ζ = 0.5; ωn = 4 rad/sec; maximum percent overshoot = 16.4%; steady-state error = 0.25.
    2. b = 0.15.
    3. Maximum percent overshoot = 1.5%; steady-state error = 0.4.
    4. Add a high-pass filter in cascade with the tachometer as illustrated in Figure 2.15.
  3. 2.5.
    1. Gc(s) = 1 + 0.382s.
    2. b = 0.382.
  4. 2.7. images
  5. 2.8.
    1. the attenuation of 1/178.6 due to the two lead networks is assumed ...

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