We have a process: 1 hprocess (s) s(1 + 5s + 50s) This process is going...

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We have a process: 1 hprocess (s) s(1 + 5s + 50s²) This process is going to be regulated with a Pl regulator with the transfer function: 1+ Tis hpi(s) = Kp Tis a) Assume that the process is going to be regulated with a pure proportional regulator described by Kp. Determine Kp so that the regulated process has an oscillation course of the type minimum disturbance, i.e. 1-2 half periods before it is stabilized. b) The sequence of the closed loop is defined as: ho(s) 1+ ho(s) M(s) = The degree of adjustment or the deviation ratio of the closed loop is defined as: 1 N(s) %3D 1+ ho(s) The process is the same, but use the value you found in problem a) for Kp for the open loop transfer function: Kp s(1+ 5s + 50s²) h.(s) Use the Matlab command "bodemag" to plot only the amplitude of ho, M and N in the same plot. Look at what happens to the curves when the frequency goes towards low and high values (i.e. asymptotes). Do you see how the asymptotes/curves for M and N can be deduced from h,? We have a process: 1 hprocess (s) s(1 + 5s + 50s²) This process is going to be regulated with a Pl regulator with the transfer function: 1+ Tis hpi(s) = Kp Tis a) Assume that the process is going to be regulated with a pure proportional regulator described by Kp. Determine Kp so that the regulated process has an oscillation course of the type minimum disturbance, i.e. 1-2 half periods before it is stabilized. b) The sequence of the closed loop is defined as: ho(s) 1+ ho(s) M(s) = The degree of adjustment or the deviation ratio of the closed loop is defined as: 1 N(s) %3D 1+ ho(s) The process is the same, but use the value you found in problem a) for Kp for the open loop transfer function: Kp s(1+ 5s + 50s²) h.(s) Use the Matlab command "bodemag" to plot only the amplitude of ho, M and N in the same plot. Look at what happens to the curves when the frequency goes towards low and high values (i.e. asymptotes). Do you see how the asymptotes/curves for M and N can be deduced from h,?

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