Consider the system with transfer function ????(????) =1/???? which is to be controlled by a strictly causal DT-PIcontroller of the form ????(????) =????(????−????)/[????(????−1)] so that the loop crossover frequency is 1 rad/s and the phase marginis 45 deg. Note one sample delay 1/z has been added for causality, as C(z) = K(z-a)/(z-1)(1/z). 1. Discuss the selection of a suitable sampling time for the controller. 2. Use ???????? = 0.3(sec) to design a DT-PI to meet the specifications by designing the controller in CT first,and then discretizing it. 3. Use ???????? = 0.3(sec) and design the DT-PI to meet the specifications in DT entirely Question and answers for part 2 and 3 in attached file. Please include all steps.
Consider the system with transfer function ????(????) =1/???? which is to be controlled by a strictly causal
DT-PIcontroller of the form ????(????) =????(????−????)/[????(????−1)] so that the loop crossover frequency is 1 rad/s and the phase marginis 45 deg. Note one sample delay 1/z has been added for causality, as C(z) = K(z-a)/(z-1)(1/z).
1. Discuss the selection of a suitable sampling time for the controller.
2. Use ???????? = 0.3(sec) to design a DT-PI to meet the specifications by designing the controller in CT first,and then discretizing it.
3. Use ???????? = 0.3(sec) and design the DT-PI to meet the specifications in DT entirely
Question and answers for part 2 and 3 in attached file. Please include all steps.
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