Control System Theory — Winter 2023

Draw the block diagrams of open loop and closed loop control systems.

Compare conventional control method and modern control method.

Determine the overall transfer function for the mechanical translational system shown in fig.1.

Define the following terms related to signal flow graph: 1. Source node 2. Sink node 3. Chain node.

Compare open loop and closed loop control systems.

The characteristic equation of feedback control system is given by S4+20S3+S2+2S+K=0 1) Calculate the range of Kfor the system to be stable. 2) Can the system be marginally stable? If so, find the required value of k and frequency of sustained oscillation.

Determine the transfer function of the system shown in fig.2 by using block diagram reduction technique.

State the condition for stability of control system with respect to bode plot and Nyquist stability criterion.

Explain Standard Test Signals used in control system.

Draw the time response of second order system and define all the time response specification.

Explain Gain margin and Phase margin.

Explain Routh stability criterion method.

Draw the root locus for the transfer function given by G(S)= K/ S (S+4) (S2+4S+20).

State the advantages of bode plot.

Draw the polar plot for the transfer function given by G(S)= 2/(S+1) (S+2) (S+3).

Write Nyquist contour and Nyquist stability criterion in brief.

List out the different types of Controllers.

Explain derivative control mode. State its characteristics.

Explain Proportional-Integral-Derivative (PID) Controller.

Define compensation and explain series-parallel compensation.

State the limitations and effects of phase Lead compensation.

Write steps to design Lag Compensator using Root Locus.1

Give advantages of state space approach.

Obtain the state space representation for transfer function C(S)/R(S)=1/S2+2S+3

Comment on the controllability and observability of the system described by the following state variable model. Fig. 1 Fig.22