## COURSE OBJECTIVES

This course presents an introduction to feedback control systems. It is aimed at setting up the background and knowledge in control systems. Control systems have importance in all fields of engineering. The objective is to provide the student with the basic concepts of control theory as developed over the years in both frequency and time domain.

### COURSE LEARNING OUTCOMES (CLO)

CLO: 1.Analyze the behavior of a physical system to determine the stability, fastness, slowness or oscillations(Level: C4)
CLO: 2. Design controllers for real life engineering systems for performance enhancement and stability. (Level: C5)

## COURSE CONTENTS

1. Introduction to Control Systems-Four Lectures
• Examples of Control System
• Open-loop vs. Closed-loop Control
• Properties of Closed-loop System
2. Mathematical Modeling of Dynamic Systems-Eight Lectures
• Mathematical modeling of electrical, mechanical and electromechanical systems
• Linear approximation of physical systems
• The transfer function and impulse response of LTI systems
• Block diagrams
• Signal flow graphs and Mason’s gain formula
• State-Space representation of dynamic systems
3. Transient and Steady-State Response Analysis-Eight Lectures
• First order systems
• Second order systems
• Time domain specifications
• Routh’s Stability Criterion
• Steady state tracking and system types
4. PID Controllers-Two Lectures
• Proportional (P) controller
• Integral (I) controller
• Derivative (D) controller
• PI and PD controllers
• PID
5. Root-Locus Analysis-Four Lectures
• Root-Locus plots
• General rules for constructing root loci
• Computer Aided determination of Root Locus (using MATLAB)
• Root-Locus analysis of control systems
6. Frequency Response Analysis-Six Lectures
• Bode plots
• Polar plots
• Nyquist plot and Nyquist stability criterion
• Performance specifications in frequency domain
• Lead and Lag design using frequency response