Briefly explain the effects of P, I and D controller on the second order response.
With an example show that the proportional control of a system without an integrator results in a steady-state error.
A PID controller has the transfer function which is connected in the feedback system as shown in Fig. 5(c). Using Ziegler-Nichols principle, determine the value of , and .

Discuss the control of a double-acting cylinder with solenoid activation.
Mention the working principle of poppet valve.
Consider the control system shown in Figure 8(c), in which a PID controller is used to control the system. The PID controller has the transfer function Design the controller.

How a proportional controller rectify the error in a system?
Determine the range of for stability of a unity feedback control system whose open-loop transfer function is .
Consider a PID controlled system shown in Figure 6(c). Determine the value of , and for the controller using Ziegler-Nichols tuning rule.

Determine the magnitude and phase of the output from a system when subjected to a sinusoidal input of if it has a transfer function of .
Why root-locus method is used in control engineering? Write down the angle and magnitude conditions of the method.
Consider a PID controlled system shown in Fig 6(c). Determine the values of , and using Ziegler-Nichols tuning rule.
