Given the first-order equation with delay: Gp(s) = 3.2e^(-1.1s) / (6.3s + 1). Substituting s by jω, find the magnitude and phase of GA and G1. Calc...

Given the first-order equation with delay: Gp(s) = 3.2e^(-1.1s) / (6.3s + 1). Substituting s by jω, find the magnitude and phase of GA and G1. Calculate the AR and ϕ. What is the critical frequency (ωc) and the gain crossover frequency (ωg)? How to find the critical values for the controller gain and period (KCU and Pu) without using a simulator? How to tune a PID controller using the Ziegler-Nichols method? What is the new form of the PID controller when adding a derivative filter with α = 0.1? How to find the gain margin for the process?
Find the magnitude and phase of GA and G1
Calculate the AR and ϕ
What is the critical frequency (ωc) and the gain crossover frequency (ωg)?
How to find the critical values for the controller gain and period (KCU and Pu) without using a simulator?
How to tune a PID controller using the Ziegler-Nichols method?
What is the new form of the PID controller when adding a derivative filter with α = 0.1?
How to find the gain margin for the process?