5- A PID controller/Regulator is designed for an plant G(s) based on the Ziegler-Nichols second tuning method called “ul

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5 A Pid Controller Regulator Is Designed For An Plant G S Based On The Ziegler Nichols Second Tuning Method Called Ul 1 (107.6 KiB) Viewed 14 times

5- A PID controller/Regulator is designed for an plant G(s) based on the Ziegler-Nichols second tuning method called “ultimate sensivity method”. R(s) + E(s) C(s) k(1+1/T;8+ Tos) G(S) As you know in the “ultimate sensivity method”the following table is being used for finding the optimum gains of a P, PI or PID gains that results in a quarter delay response. Ziegler-Nichols Tuning for the Regulator Dc(s) = kp (1 + 1/Tis + Tos), Based on the Ultimate Sensitivity Method Type of Controller Optimum Gain Proportional k, = 0.5K PI [ky = 0.45K T, = 器 kp = 0.6K PID Ti = £ Pu To = { Pu The optimum Gains of the PID controller are found to be Kp = 2, T, = 2, Tp = 0.5. Using a PID could be more expensive than using a P and PI controller. As a result the design enginner wants to find equivalent P and PI controllers for the system using the table. Please help her find: 1- Kp of a P-Controller that will result in a quarter decay response using the table mentioned above 2- Kp and T, of a PI -Controller that will result in a quarter decay response using the table mentioned above