i need help for the subject automatic Control, couse i must fix my process, the

Question

i need help for the subject automatic Control, couse i must fix my process, the transfer function is 1755 / { (3.9S+1)*(0.78S+1)*(0.078S+1)}, the proces is unstable, and i must fix it, i need to do (syntez) synthesis with logarithmic characteristics (BODE) for a corrective device in series, and the final response must be with Overshoot=25-35 %, and settling time (1-1.2)seconds,, our profesor recommended that the requiret characteristics must pass at the point W=10 sec [ L(w)=0 ] with a slope of -20 dB/dec, can anyone help me please, theer is a pic just to show you what i am talking about ( black line is our system 1755 / { (3.9S+1)*(0.78S+1)*(0.078S+1)}, blue line is the Regulator, and red line is how thw final characteristics may look like

Explanation / Answer

i am workin with matlab (im not very good on it) for the subject automatic Control, and i must fix my process, the transfer function is 1755 / { (3.9S+1)*(0.78S+1)*(0.078S+1)}, the process is unstable, an i must fix it, i need to do (syntez) synthesis with logarithmic characteristics (BODE) for a corrective device in series, for final response with Overshoot=25-35 %, settling time (1-1.2)seconds, i have createt a simply regulator and i have fixed the step response but the phase in the BODE diagram is very bad, our professor recommended that the required characteristics must pass at the point W=10 se

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