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Automatic Control

Automatic Control. Instructor: Dr. Anil Kumar, Department of Mechanical and Industrial Engineering, IIT Roorkee. Automatic Control is the theory used in various applications, for example, manufacturing of a product, refrigeration and air conditioners, aircraft, missile, satellite launching, etc. The study of a dedicated course is required to understand the fundamental and advanced concepts of automatic controls for engineers and designers. This course is of basic level. It introduces design and modelling of a control system, theory of transfer functions, poles, zeros, block diagram algebra, transient response analysis of first and second order systems, stability and Routh's criteria, error analysis, PID control, root locus techniques, compensation techniques, introduction to the state space method and application of MATLAB in automatic control. (from nptel.ac.in)

Lecture 18 - Routh-Hurwitz Criterion: Special Cases

This lecture includes the discussion on the Routh-Hurwitz criterion - special cases of zero only in the first column and entire row is zero.


Go to the Course Home or watch other lectures:

Lecture 01 - Definition and Types
Lecture 02 - Performance Specifications
Lecture 03 - Design Process of the Control System
Lecture 04 - Block Diagrams
Lecture 05 - Laplace Transform and Transfer Function
Lecture 06 - Translational Mechanical System
Lecture 07 - Rotational Mechanical System
Lecture 08 - Electrical System
Lecture 09 - Linearization of Nonlinear Systems
Lecture 10 - Numerical Problems
Lecture 11 - Poles and Zeros
Lecture 12 - First Order System
Lecture 13 - Second Order System
Lecture 14 - Underdamped Second Order System
Lecture 15 - Underdamped Second Order System (cont.)
Lecture 16 - Definition of Stability
Lecture 17 - Routh-Hurwitz Criterion
Lecture 18 - Routh-Hurwitz Criterion: Special Cases
Lecture 19 - Steady State Errors
Lecture 20 - Static Error Constants
Lecture 21 - Define Root Locus
Lecture 22 - Sketching of Root Locus I
Lecture 23 - Sketching of Root Locus II
Lecture 24 - Sketching of Root Locus III
Lecture 25 - Numerical Examples and Second Order Approximation
Lecture 26 - Pl Controller Design
Lecture 27 - PD Controller Design
Lecture 28 - PID Controller Design
Lecture 29 - Lag Compensation
Lecture 30 - Lead and Lag-Lead Compensation
Lecture 31 - State Space Representation
Lecture 32 - Converting a Transfer Function to State Space
Lecture 33 - Converting from State Space to Transfer Function
Lecture 34 - Controller Design
Lecture 35 - Controller Design and Controllability
Lecture 36 - Transfer Function, Poles, Zeros, Response
Lecture 37 - Steady State Error, Root Locus
Lecture 38 - Design via Root Locus, Compensation
Lecture 39 - Design via Root Locus, Compensation (cont.)
Lecture 40 - State Space Method