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 Course  Lecture
  • Title: Control Engineering
  • Department: Electrical Engineering
  • Author: Prof. S.D.Agashe
  • University: IIT bombay
  • Type: WebLink
  • Abstract:
    Introduction to control problem

    Industrial Control examples. Transfer function models of mechanical, electrical, thermal and hydraulic systems. System with dead-time. System response. Control hardware and their models: potentiometers, synchros, LVDT, dc and ac servomotors, tachogenerators, electro hydraulic valves, hydraulic servomotors, electropeumatic valves, pneumatic actuators. Closed-loop systems. Block diagram and signal flow graph analysis, transfer function.

    Basic characteristics of feedback control systems

    Stability, steady-state accuracy, transient accuracy, disturbance rejection, insensitivity and robustness. Basic modes of feedback control: proportional, integral and derivative. Feed-forward and multi-loop control configurations, stability concept, relative stability, Routh stability criterion.

    Time response of second-order systems, steady-state errors and error constants. Performance specifications in time-domain. Root locus method of design. Lead and lag compensation.

    Frequency-response analysis

    Relationship between time & frequency response, Polar plots, Bode’s plot, stability in frequency domain, Nyquist plots. Nyquist stability criterion. Performance specifications in frequency-domain. Frequency-domain methods of design, Compensation & their realization in time & frequency domain. Lead and Lag compensation.

    Op-amp based and digital implementation of compensators. Tuning of process controllers. State variable formulation and solution.

    State variable Analysis

    Concepts of state, state variable, state model, state models for linear continuous time functions, diagonalization of transfer function, solution of state equations, concept of controllability & observability.

    Introduction to Optimal control & Nonlinear control

    Optimal Control problem, Regulator problem, Output regulator, treking problem.
    Nonlinear system – Basic concept & analysis.

List of Lectures

The Control Problem
Some More Examples
Different Kinds Of Control Systems
History Of Feedback
Modern Control Problems
Dc Motor Speed Control
System Modelling, Analogy
Causes Of System Error
Calculation Of Error
Control System Sensitivity
Automatic Control Of Dc Motor
Proportional Control
Non-unity Feedback
Signal-flow Graph
Mason's Gain Formula
Signal-flow Graph For Dc Motor Control
Steady-state Calculations
Differential Equation Model And Laplace Transformation Model
D-operator Method
Second-order System Response
Frequency Response
Laplace Transformation Theorems
Final Value Theorem
Transfer Function And Pole-zero Diagram
Good Poles And Bad Poles
Signal Flow Graph With Transfer Functions
S-domain And T-domain
Second-order System Response In S-domain
Integral Feedback
Root-locus Method
Root-locus Rules
Asymptotes Of Root Locus
Routh Array
Singular Cases
Closed Loop Poles
Controller In The Forwarded Path
Mapping Of Control In The Complex-plane
Encirclement By A Curve
Nyquist Criterion
Application Of The Nyquist Criterion
Polar Plot And Bode Plots
Logarithmic Scale For Frequency
'asymptotic' Db Gain
Compensating Network
Nichols' Chart
Time Domain Methods Of Analysis And Design
State-variable Equations
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