IIT Bombay Course , Prof. S.D.Agashe

**278**students enrolled

IIT Bombay Course , Prof. S.D.Agashe

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, Bodes 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.

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, Bodes 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.

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The above video lectures are presented by IITBombay, India, under the program NPTEL, there are more than 350+ NPTEL courses Online available.
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- 1.The Control Problem
- 2.Some More Examples
- 3.Different kinds of Control Systems
- 4.History of Feedback
- 5.Modern Control Problems
- 6.DC Motor Speed Control
- 7.System Modelling, Analogy
- 8.Causes of System Error
- 9.Calculation of Error
- 10.Control System Sensitivity
- 11.Automic Control of DC Motor
- 12.Proportional Control
- 13.Non-Unity Feedback
- 14.Signal-Flow Graph
- 15.Masons Gain Formula
- 16.Signal-Flow Graph for DC Motor Control
- 17.Steady-State Calculations
- 18.Differential Equation Model & Laplace transformation Method
- 19.D-Operator Method
- 20.Second-Order System Response
- 21.Frequency Response
- 22.Laplace Transformation Theorems
- 23.Final-Value Theorem
- 24.Transfer Function and Pole-Zero Diagram
- 25.Good Poles and Bad Poles
- 26.Signal-Flow Graph with Transfer Functions
- 27.s-Domain and t-Domain
- 28.Second-Order System Response in s-Domain
- 29.Integral Feedback
- 30.Root-Locus Method
- 31.Root-Locus Rules I
- 32.Asymptotes of Root Locus
- 33.Routh Array
- 34.Singular Cases
- 35.Closed-Loop Poles
- 36.Controller in the Forwarded Path
- 37.Mapping of Control in the Complex-Plane
- 38.Encirclement by a Curve
- 39.Nyquist Criterion
- 40.Application of the Nyquist Criterion
- 41.Polar Plot and Bode Plots
- 42.Logarithmic Scale for Frequency
- 43.Asymptotic DB Gain
- 44.Compensating Network
- 45.Nichols Chart
- 46.Time Domain Methods of Analysis and Design
- 47.State-Variable Equations

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