Important topics (page, a function of time)

Bode diagram for the following transfer function



polar plot for the following transfer function


Using Routh criterion determine the stability
range of K for stability of unity feedback system


system shown write down the state equations satisfied by them, equations in the vector matrix form


system has an open loop transfer function. Sketch the root locus


signal flow graph and a state model for this system and give block diagram representation

Root Locus Construction

Root Locus:


The Root Locus Method - Introduction by Brian Douglas

Plotting a root locus:

Root locus (a simple problem):

Plotting a root locus (Tamil): Another problem

Time Domain Specifications

Time Domain Specifications

Refer: https://www.tutorialspoint.com/control_systems/control_systems_time_domain_specifications.htm


Ex:
Determine the response of the system and find time domain specifications of the given figure. ζ =0.5 (May/June 2016).

Ans:

Rise time = 0.64s

Peak time = 0.907s

Settling time = 1.5s

Peak overshoot =16.3%

Ref: Control System by Nagoor kani