Control Systems - EE3L003

The different instructions related the class Spring (2025-26) will be available here.

Syllabus:

INTRODUCTION: Introduction to Control Systems: Definition, Examples of control systems, Open loop and closed loop control systems.

MODELING IN THE FREQUENCY DOMAIN and TIME DOMAIN: Review of Laplace and inverse Laplace transforms, System Modelling, Mechanical, electrical and electromechanical systems, State Space Analysis: Concepts of state, state variables, and state model, State models for linear continuous-time systems, Transfer function, Converting transfer function to State space domain.                                                                                                                             (Tutorial Class: 2 hours)

TIME RESPONSE: Poles and zeros, System response of 1st and 2nd Order Systems, Response with zeros and additional poles, Laplace transform solutions of state equations, Time domain solution of State equations.                                                                                                                                                      (Tutorial Class: 2 hours)

REDUCTION OF MULTIPLE SUBSYSTEMS:  Block diagram, Signal flow graph, Mason’s Rule, Block diagram reduction using signal flow graph and block diagram reduction techniques, Signal-Flow Graphs of State Equations                                                                                                                                    (Tutorial Class: 1 hour)

STABILITY and STEADY-STATE ERRORS: Routh-Hurwitz Criterion, Steady-State Error for Unity Feedback Systems, Static Error Constants and System Type                                                                                                                                                                                                                                                                                        (Tutorial Class: 3 hours)

ROOT LOCUS TECHNIQUES and DESIGN VIA ROOT LOCUS: Definition of root locus Properties of the Root Locus, Sketching the Root Locus, Improving Steady-State Error and Transient Response, Cascade compensation based on root locus method, Introduction to feedback compensation;                                                                                                                                                                                                                          (Tutorial Class: 4 hours)

FREQUENCY RESPONSE TECHNIQUES and DESIGN VIA FREQUENCY RESPONSE: Bode diagram, Polar plot, Nichols plot, Nyquist stability criterion: nonmathematical description of Nyquist criterion, interpretation of stability, Relative stability – Gain and Phase margin, Closed loop frequency response – M and N contours, Nichols chart; Compensation Techniques: Compensation techniques: lag, lead and lag-lead compensation, PD, PI and PID controllers.                                                                                                                                                                 (Tutorial Class: 4 hours)

DESIGN VIA STATE SPACE: Controller Design, Observer Design, Solution of state equations, Concepts of Controllability and Observability.                                                                                                                                                                                                                                                                        (Tutorial Class: 1 hours)

Text Books:

1.      Control Systems Engineering, Norman S. Nise, Wiley India Private Limited, 2024 

2.      R. Stefani, B. Shahrian, C. Savant & G. Hostetter, “Design of Feedback Control Systems”, Oxford University Press, 2002.

3.      K. Ogata, “Modern Control Engineering”, Prentice Hall, 1997.

Reference Books:

1.      B. C. Kuo & F. Golnaraghi, “Automatic Control Systems”, John Wiley, 2003.

2.      M. Gopal, “Control Systems: Principles and Designs”, 2nd Edition, McGraw Hill, 2002.

3.      R. C. Dorf & R. H. Bishop, “Modern Control Systems”, Prentice Hall, 2000.