Course Title: 
Control Systems Engineering
Course Code: 
Year Taught: 
Undergraduate (UG)
School of Engineering

'Control Systems Engineering' (Pre-requisite: 15CSE204 Signal Processing I) is a course offered for the B. Tech. (Bachelor of Technology) in Electronics and Communication Engineering at School of Engineering, Amrita Vishwa Vidyapeetham.

Unit 1

Introduction - System Configurations - Analysis and design objectives - Design process - Computer-aided design - Laplace transform review - The transfer function: Electrical network Transfer functions - Translational mechanical system transfer functions - Electric circuit analogs – Nonlinearities – Linearization - Transfer function of a DC motor. Poles Zeros and system response - Time response analysis (1st, 2nd order) - System response with additional poles - System response with zeros. Reduction of multiple system - Block reduction techniques - Signal flow graph - Mason’s gain formula. Stability: Routh-Hurwitz criterion - Steady-state error for unity feedback systems - Static error constants and system type - Steady-state error specifications.

Unit 2

The root locus, properties of the root locus - Sketching the root locus - Transient response Design via gain adjustment - Frequency response techniques. Asymptotic approximations: Bode plots - Introduction to the Nyquist criterion – Stability - Gain margin and Phase margin via Nyquist diagram and Bode plots relation between closed loop transient and closed loop frequency responses - Relation between closed and open loop frequency responses - Relation between closed loop transient and open loop frequency responses - Steady-state error characteristics from frequency response - Systems with time delay - Obtaining transfer functions.

Unit 3

Design via frequency response - Transient response design via gain adjustment - Lag compensation - Lead compensation - The general state - Space representation - Applying the state-space representation - Converting a transfer function to statespace - Converting from state-space to a transfer function.


  1. Norman Nise, “Control System Engineering”, John Wiley & Sons, Inc., Sixth Edition, 2011.


  1. Dorf R. C. and Bishop R. H, “Modern control systems”, Addison-Wesley Longman Inc., Eighth Edition, Indian reprint, 1999.
  2. Katushiko Ogata, “Modern control engineering”, Pearson education, Third Edition, 2004.
  3. Benjamin C.Kuo, “Automatic Control Systems”, Prentice Hall India Ltd, Sixth Edition, 2000.