Thanks in advance

hand calculation means like paper working out not software or anythjng else

An industrial process consisting of second order element and a dead-time of 1 seconds has recently been installed. The open-loop transfer function of the process is given by:- 2e-s Gp(s) = (s2 + 0.8s + 1) Using the attached semilog paper draw by hand the bode diagram for the open loop function Gp(s), then use Matlab/Excel to verify the open-loop frequency response in the respective frequency range, and finally implement Ziegler-Nichols methods to determine suitable Pland PID controller settings to close a unity loop within acceptable specifications. Develop a suitable model in Simulink/sisotool/Excel to confirm that your controller design gives an effective closed-loop system response to a step input. You receive word from the installation site that it has been necessary to move the feedback sensor to ensure future access for maintenance and calibration purposes. Moving this feedback sensor will introduce a further dead-time of 1 seconds, giving a total dead-time of 2 seconds. Update your Simulink/sisotool/Excel model to include the additional dead-time and decide whether your original controller design settings are still acceptable and suggest what would be the best solution. Comment on the significance of being able to accurately access the dead-time associated with systems, when designing associated controller parameters. Criteria Max 8 Ex1 Determine Open loop Critical frequency, Gain margin, phase margin and cross over frequency from bode diagram by hand draw method (see attached semi log paper) 2 Ex1 Plot Open loop Critical frequency, Gain margin, phase margin and cross over frequency from bode diagram with matlab and comment on differences (if any) in their values 6 Ex1 Design Pl and PID controllers with Zigler Nichols through hand calculation 2 Ex1 Plot in matlab/excel/Simulink root locus / time domain responses of regulated original system with PI & PID 2 Ex1 Re-plot new system with original correction in matlab/excel/Simulink and comment on differences An industrial process consisting of second order element and a dead-time of 1 seconds has recently been installed. The open-loop transfer function of the process is given by:- 2e-s Gp(s) = (s2 + 0.8s + 1) Using the attached semilog paper draw by hand the bode diagram for the open loop function Gp(s), then use Matlab/Excel to verify the open-loop frequency response in the respective frequency range, and finally implement Ziegler-Nichols methods to determine suitable Pland PID controller settings to close a unity loop within acceptable specifications. Develop a suitable model in Simulink/sisotool/Excel to confirm that your controller design gives an effective closed-loop system response to a step input. You receive word from the installation site that it has been necessary to move the feedback sensor to ensure future access for maintenance and calibration purposes. Moving this feedback sensor will introduce a further dead-time of 1 seconds, giving a total dead-time of 2 seconds. Update your Simulink/sisotool/Excel model to include the additional dead-time and decide whether your original controller design settings are still acceptable and suggest what would be the best solution. Comment on the significance of being able to accurately access the dead-time associated with systems, when designing associated controller parameters. Criteria Max 8 Ex1 Determine Open loop Critical frequency, Gain margin, phase margin and cross over frequency from bode diagram by hand draw method (see attached semi log paper) 2 Ex1 Plot Open loop Critical frequency, Gain margin, phase margin and cross over frequency from bode diagram with matlab and comment on differences (if any) in their values 6 Ex1 Design Pl and PID controllers with Zigler Nichols through hand calculation 2 Ex1 Plot in matlab/excel/Simulink root locus / time domain responses of regulated original system with PI & PID 2 Ex1 Re-plot new system with original correction in matlab/excel/Simulink and comment on differences