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splane9 - Improving transient response Again, we will study...

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Unformatted text preview: Improving transient response Again, we will study two techniques, placing a pure differentiator in the forward path, and placing a zero and more distant pole. Ideal derivative compensation (PD) The transient response of a system can be se- lected by choosing an appropriate closed loop pole. If this closed loop pole does not lie on the root locus it must be rectified, this can be achieved by adding a single zero to the forward path. 1 Root Locus Real Axis Imag Axis-8-7-6-5-4-3-2-1 1 2 3-4-3-2-1 1 2 3 4-0.939+j2.151 K=23.72 Root Locus Real Axis Imag Axis-8-7-6-5-4-3-2-1 1 2-8-6-4-2 2 4 6 8-3+j6.874 K=51.25 Root Locus Real Axis Imag Axis-6-5-4-3-2-1 1-6-4-2 2 4 6-2.437+j5.583 K=35.34 Root Locus Real Axis Imag Axis-6-5-4-3-2-1 1-6-4-2 2 4 6-1.869+j4.282 K=20.76 2 Step Response Time (sec) Amplitude 1 2 3 4 5 6 7 8 9 10 0.2 0.4 0.6 0.8 1 1.2 Uncompensated Zero at-2 Zero at -3 Zeros at -4 All four system have a damping ratio of 0 . 4, but placing a zero at- z leads to the shortest settling time (largest negative real) and small- est peak time (largest imaginary part)....
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This note was uploaded on 01/23/2012 for the course EE 4580 taught by Professor Gu during the Fall '10 term at LSU.

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splane9 - Improving transient response Again, we will study...

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