Module 1: Introduction to Control Systems: Importance of control systems in engineering applications, Open-loop vs. closed-loop systems, Modeling of different Systems: Electrical, mechanical, electromechanical systems, biological etc., Different modelling techniques: Differential equations, transfer functions, and state-space, Linearizing the nonlinear systems, Representation of dynamical systems: Block diagrams and signal flow graphs. (8 hrs)
Module 2: Response of linear time-invariant systems to standard test signals: impulse, step, ramp. Transient and steady-state performance. Time-domain performance specifications. Introduction to related Matlab commands. (6 hrs)
Module 3: Concept of stability: BIBO and Asymptotic stability. Concept of system poles and their impact on stability and performance, Introduction to Routh-Hurwitz criterion. Introduction to related Matlab commands. (6 hrs)
Module 4: Introduction to root locus: Basic concepts, Construction rules for root locus, Root locus plots and system stability, Design and analysis of control systems using root locus. Introduction to related Matlab commands. (6 hrs)
Module 5: Frequency Domain Analysis: Frequency Response: Bode plots, Polar plots, Nyquist plots. Relative stability, Gain margin and phase margin. Nyquist Stability Criterion: Stability analysis using Nyquist plots, Stability margins and system robustness. Introduction to related Matlab commands. (9 hrs)
Module 6: Controllers and Compensators: Design of Proportional (P), Integral (I), and Derivative (D) controllers, PID controller tuning methods, Design of lag, lead, and lag-lead compensators, Practical considerations and performance improvements. (5 hrs)

Understand the fundamental concepts and significance of control systems in engineering applications and model different physical systems using differential equations, transfer functions, and state-space methods.

Analyze the transient and steady-state behavior of linear time-invariant systems in response to standard test signals.

Equip students with the ability to perform frequency response analysis using Bode, Nyquist, and Polar plots, and evaluate system stability and robustness.

Design and tune P, PI, PID controllers, and compensators (lag, lead, lag-lead) for achieving desired closed-loop performance

At the end of the course, a student will be able to:
CO1: Model physical systems (electrical, mechanical, etc.) using differential equations, transfer functions, and state-space methods, and represent them using block diagrams and signal flow graphs.
CO2: Analyze transient and steady-state responses of systems to standard inputs and evaluate time-domain performance specifications.
CO3: Assess system stability using BIBO and asymptotic stability criteria, and apply the Routh-Hurwitz criterion to determine stability.
CO4: Construct and analyze root locus plots to evaluate stability and design control systems using root locus methods.
CO5: Perform frequency response analysis using Bode, Polar, and Nyquist plots, and assess stability margins and robustness.
CO6: Design and tune P, PI, PID controllers, and compensators (lag, lead, lag-lead) to achieve desired closed loop performance.

K. Ogata, Modern Control Engineering,, Pearson Higher Education, 2002

R.C. Dorf and R.H.Bishop, Modern Control System, Pearson, 2017

Karl Johan Åström and Richard M. Murray, Feedback Systems, PRINCETON UNIVERSITY PRESS, 2008 , (free on the internet)

B.C. Kuo, Automatic Control System, Prentice Hall, Digitized Dec 5, 2007