Control Theory — Winter 2024

Give the difference between positive feedback system and negative feedback system.

Explain automatic tank level control system with neat sketch.

Derive the transfer function of armature controlled DC motor.

Explain the rules for block diagram reduction techniques with neat sketches.

Give the importance of state model representation.

Find stability of characteristic equation s5+s4+2s3+2s2+3s+5 = 0 using Routh stability criteria.

Explain Hurwitz stability criteria and find the stability of second order system S4+8S3+18S2+16S+5 = 0.

Give the properties of the state transition matrix.

Explain correlation between transient response and frequency response.

The open loop transfer function of a feedback system is given by G(S)H(S) = K / [S (S+4) (S2+4S+20)]. Design root locus and comment on stability.

Derive the resolvent matrix for unforced system having state equation ẋ=Ax.

State and explain the steps to plot Nyquist stability criteria plot and mention the condition for stability of the control system.

Construct the bode plot for the transfer function G(s) = [64 (s+2) / s (s+0.5) (s2+3.2s+64)]

Explain regenerative feedback.

Explain speed control governor system with neat sketch.

Explain Force Voltage and Force Current analogy with suitable example.

Explain the effect of feedback on bandwidth.

Explain missile launching and guidance system with neat sketch.

Explain Mason’s Gain formula for signal flow graph with simple example.

Define: 1.Phase margin 2.Phase crossover frequency 3.Gain margin

Derive steady state errors for Type 0, Type1 & Type 2 systems with unit step, unit ramp and unit parabolic inputs.

Derive the time response of second order system with unit step input.

Define: 1.State 2. State equation 3. State trajectory

Enumerate the rules for construction of Root Locus.

Derive the complete solution of linear system state equation ẋ=Ax+Bu.