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Parabolic Input:

Parabolic Input:. R(t). t (s). (Parabolic input error coefficient). 3 . Steady State Error and Time Response Performance. R. (. s. ). Step input. Ramp input. Paraboli c input. Final Value Theorem :. R. (. s. ). Parabolic. Step. Ramp. Final value theorem :. Step. Ramp.

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Parabolic Input:

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  1. Parabolic Input: R(t) t (s) (Parabolic input error coefficient)

  2. 3. Steady State Error and Time Response Performance R ( s ) Step input Ramp input Parabolicinput Final Value Theorem:

  3. R ( s ) Parabolic Step Ramp Final value theorem: Step Ramp Parabolic ess: Step Ramp Parabolic [cn]ss: Example 3.1 a) System type: 0 Stability test

  4. R ( s ) Step Ramp Parabolic ess: Step Ramp Parabolic ess: Example 3.1 b) System type: 1 Integral control improves the steady state error performance System type : 0 Derivative control does not change the error performance

  5. R ( s ) Overshoot Step Ramp Parabolic ess: Example 3.1 d) System type: 2 DcDp s0 System type: 0 DcDp s1 System type: 1 DcDp s2 System type: 2 DcDp s3 System type: 3

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