EEE 317

Introduction to feedback control: 

• • open loop and closed loop system

  • terminologies with examples

  • elements of basic control systems

System representation using Transfer function: 

• • time domain and frequency domain representation basics

  • transfer function basics

  • modelling electrical, mechanical, and electromechanical system using differential equation and transfer function

  • electrical systems: first order, second order and higher order

  • damping of R-L-C circuits

  • transient characteristics of system to unit, step, ramp, parabolic functions

Analysis of system using time domain: 

• • time domain specifications

  • location of poles

  • stability by Routh's criterion

  • effect of additional poles/zeros

  • steady state error

  • parameter sensitivity

  • types of systems (type-1,2, etc.), examples

  • steady state error and static error coefficient

  • controllability, observability

Equivalent System Representation: 

• • different types of representation

  • conversion using block diagram and signal flow graph (SFG) both in frequency and time domain

  • simplification to canonical form by Mason's rule

Analysis of system using frequency response: 

• • Bode plot

  • Nyquist’s and Nichol’s plots

  • Gain margin

  • phase margin

  • maximum magnitude

  • resonant frequency

  • bandwidth correlation with tune response 

  • stability from Nyquist diagram (direct: polar plot)

  • gain adjustment using Nichol's chart

  • construction rules

  • dominant poles

  • stability

  • PID compensation using root locus

System representation using State space: 

• • formation of state equations

  • transfer function from state equation

  • stability and eigen- values of state transition matrix

  • controller design using state variable

  • state space to transfer function and vice versa

Controller design: 

• • proportional control

  • lead-lag control

  • PID control

  • introduction to pole placement compensation

  • introduction to digital control system

  • sampled data systems

  • stability analysis in Z-domain