Course structure & Assessments
For details of standard course structure and assessments, visit Academics page.
WEEK 1 | Introduction to control systems: the concept of feedback, feedforward. Classification of systems: Static – Dynamic, Linear – nonlinear, Time varying time - invariant, causal – non causal, examples of systems. |
WEEK 2 | Concept of Signals in Control: Convolution and system response, Laplace and Inverse Laplace transforms, solutions of Ordinary differential equations. |
WEEK 3 | System Modeling with Transfer function, properties of transfer function. Stability of dynamical Systems, BIBO stability, concept of poles and zeros. |
WEEK 4 | Time domain analysis, Response of first order systems, Step response of second order systems, Time response specifications, effect of adding additional zeros and poles, steady state analysis |
WEEK 5 | Analysis of feedback systems, concept of Proportional, Derivative and Integral control actions. |
WEEK 6 | The Routh Hurwitz Stability, The root locus plot – variation of system properties as the gain K varies. |
WEEK 7 | Frequency response, The Nyquist and Polar plots, Bode plots, the concept of gain and phase margins. |
WEEK 8 | Design using Root Locus plots, Lead, Lag and Lead Lag compensators. |
WEEK 9 | Design using Bode plots, Lead, Lag and Lead Lag compensators. |
WEEK 10 | State space methods in control, the concept of Linearisation of a non linear sytem, The concept of Controllablity and observability, control design via pole placement, observer design. |
WEEK 11 | State space methods in control, the concept of Linearisation of a non linear sytem, The concept of Controllablity and observability, control design via pole placement, observer design. |
WEEK 12 | Practical aspects of Control Design. |
Prescribed Books
The following are the suggested books for the course:
"Modern Control Engineering" by Katsuhiko Ogata; 5th ed., 2009
"Feedback Control of Dynamic Systems" by Gene F. Franklin, J. Da Powell, and Abbas Emami-Naeini; 6th ed., 2010
"Mathematical Modelling of Physical Systems: An Introduction" by Diran Basmadjian.,2003
"Control System Design: An Introduction to State-Space Methods" by Bernard Friedland.,2005
About the Instructors
I am currently a Professor at the Control and Optimisation group , Department of Electrical Engineering, IIT Madras. I obtained my PhD in systems and control from University of Twente, The Netherlands and held post doc positions at University of Melbourne and UCLA.
My current research interests lie in the area of Network Sytems optimization and control, Control of BrainNetworks, Data Driven methods in systems and control, Connected and autonomous vehicles.
I am a associated with the Robert Bosch Center for Data Sciences and Artificial Intelligence at IIT Madras
I am also coordinator for NPTEL
Other courses by the same instructor: MA1101 - Math for Electronics I , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective , - Humanities Elective and - Humanities Elective