Consider the system shown in Figure 4-50 We wish to design a digital controller such 3. that the dominant closed-loop poles of the system will have a damping ratio of 05 We also want the number of samples per cycle of damped sinusoidal oscillation to be 8 Assume that the sampling period T is 0.2 sec Using the root-locus method in the z plane, determine the pulse transfer function of the digital controller Obtain the response of the designed system to a unit-step input. Also obtain the static velocity error constant K, etri Oigital controller Zero order Ral sis + 1) hald

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider the system shown in Figure 4-50 We wish to design a digital controller such
that the dominant closed-loop poles of the system will have a damping ratio g of
05 We also want the number of samples per cycle of damped sinusoidal oscillation to
be 8 Assume that the sampling period T is 0.2 sec
Using the root-locus method in the z plane, determine the pulse transfer function
of the digital controller Obtain the response of the designed system to a unit-step input.
Also obtain the static velocity error constant K.
3.
etri
Oigital
controller
Zero order
hold
sis + 1)
Ciz)
Glz
Transcribed Image Text:Consider the system shown in Figure 4-50 We wish to design a digital controller such that the dominant closed-loop poles of the system will have a damping ratio g of 05 We also want the number of samples per cycle of damped sinusoidal oscillation to be 8 Assume that the sampling period T is 0.2 sec Using the root-locus method in the z plane, determine the pulse transfer function of the digital controller Obtain the response of the designed system to a unit-step input. Also obtain the static velocity error constant K. 3. etri Oigital controller Zero order hold sis + 1) Ciz) Glz
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