Describe and compare the characteristics of (i) proportional control, (ii) Proportional plus integral control, (iii) proportional plus integral plus derivative control.
Consider the control system shown in Fig. 5(b) in which PID controller is used to control the system. The PID controller has the transfer function Gc(s)=kp(1+1/Tis+Tds)G_c(s) = k_p(1 + 1/T_is + T_ds)Gc(s)=kp(1+1/Tis+Tds). Design the PID controller.
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 Gc=kp(1+1Tis+Tds)G_c = k_p (1 + \frac{1}{T_i s} + T_d s)Gc=kp(1+Tis1+Tds) which is connected in the feedback system as shown in Fig. 5(c). Using Ziegler-Nichols principle, determine the value of kpk_pkp, TiT_iTi and TdT_dTd.
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 Gc(s)=Kp(1+1Tis+Tds)G_c(s) = K_p \left(1 + \frac{1}{T_i s} + T_d s\right)Gc(s)=Kp(1+Tis1+Tds) Design the controller.
How a proportional controller rectify the error in a system?
Determine the range of kkk for stability of a unity feedback control system whose open-loop transfer function is G(s)=ks(s+1)(s+2)G(s) = \frac{k}{s(s+1)(s+2)}G(s)=s(s+1)(s+2)k.
Consider a PID controlled system shown in Figure 6(c). Determine the value of kpk_pkp, TiT_iTi and TdT_dTd 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 5sin(4t+60∘)5\sin(4t + 60^\circ)5sin(4t+60∘) if it has a transfer function of G(s)=4s+1G(s) = \frac{4}{s+1}G(s)=s+14.
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 KpK_pKp, TiT_iTi and TdT_dTd using Ziegler-Nichols tuning rule.