Unit 1 5 10

5 lecture hours

• 1 Introduction - Advantages of Digital control systems - Practical aspects of the choice of sampling rate and multirate sampling - Basic discrete time signals - Quantization – Sampling theorem – Data conversion and Quantization - Sampling process - Mathematical modeling - Data reconstruction and filtering of sampled signals – zero - order hold

Unit 2 15 30

8 lecture hours

• 2 z - transform and inverse z - transform
• Relationship between s - plane and z - plane – Difference equation - Solution by recursion and z - transform - pulse transfer functions of the zero - order Hold and relationship between G(s) and G(z)– Bilinear transformation . 7 15 3 Digital control systems - Pulse transfer function - z transform analysis of open loop
• closed loop systems - Modified z Transform - transfer function - Stability of linear digital control systems -Stability tests

Unit 3 15 30

8 lecture hours

• 4 Root loci - Frequency domain analysis - Bode plots - Gain margin and phase margin - Design of Digital Control Systems based on Root Locus Technique. 7 15 5 Cascade and feedback compensation by continuous data controllers - Digital controllers - Design using bilinear transformation - Realization of Digital PID controllers

Unit 4 15 30

• 6 State equations of discrete data systems
• solution of discrete state equations
• State transition Matrix: z -transform method
• Relation between state equations and transfer functions. 5 10 7 Concepts on Controllability and Observability - Digital state observer: 5 10 Reference Books: 1
• Discrete Time Control Systems
• PHI/Addison - Wesley Longman Pte
• B.C Kuo, Digital Control Systems
• 2nd Edition
• Oxford Univ Press
• Powell, and M.L
• Digital control of Dynamic Systems
• Addison - Wesley Longman
• Menlo Park, CA, 1998. 4
• Digital Control and State Variable Methods
• Tata McGraw Hill
• Houpis and G.B
• Digital Control Systems
• McGraw Hill
• Fundamentals of Linear State Space Systems, Mc
• Graw – Hill
• 1st edition. 7
• Bernard Fried Land
• Control System Design, Mc
• 1st edition 8
• Continuous and Discrete Control Systems
• Course Outcome: After learning the course the students should be able to: - Do the z-transform analysis for open and closed loop systems. - Design digital control system - Do stability analysis of discrete time system List of Experiments: The simulation exercise as per the content in the syllabus should be given as lab exercise/ assignments
• Design based Problems (DP)/Open Ended Problem: Course coordinator can assign the design based problem/open ended problem
• Major Equipment: Simulation tools like MATLAB or any other software as deemed suitable by the course instructor can be used
• List of Open Source Software/learning website: 1
• MIT OPEN COURSEWARE by Massachusetts Institute of Technology - website: ocw.mit.edu 2
• Courses available through NPTEL. - website : nptel.ac.in Review Presentation (RP): The concerned faculty member shall provide the list of peer reviewed Journals and Tier-I and Tier-II Conferences relating to the subject (or relating to the area of thesis for seminar) to the students in the beginning of the semester