Control Systems : Theory And Applications

Mathematical Modeling, System Analysis, and Feedback Control Techniques

What you'll learn

Understand and apply mathematical modeling techniques for mechanical and electrical systems.

Perform block diagram reduction and analyze systems using signal flow graphs.

Analyze transient and steady-state responses and compute system errors using standard performance indices.

Determine the stability of linear time-invariant systems using Routh-Hurwitz criterion and root locus method.

Apply state variable methods for modeling, analysis, and design of control systems.

Requirements

Mathematics Foundations-Laplace Transforms

Description

Control Systems: Theory and Applications is a foundational course designed to provide students with a comprehensive understanding of the principles and techniques used in the modeling, analysis, and design of control systems in engineering. It bridges theoretical concepts with real-world implementation, laying the groundwork for advanced study or industrial applications in automation, robotics, mechatronics, and electrical systems.The course introduces both classical control strategies—such as transfer function-based analysis, root locus, Bode plots, and Nyquist plots—and modern control approaches, including state-space modeling. Core topics include system modeling using differential equations, Laplace transforms, block diagram reduction, time-domain and frequency-domain responses, feedback control, stability analysis, and controller design (PI, PD and PID controllers) and compensator design.In addition to strong theoretical foundations, the course places emphasis on practical insights, demonstrating how control systems are utilized in real-life applications across aerospace, automotive systems, power generation, industrial automation, and biomedical devices.Students will engage with analytical methods as well as simulation tools such as MATLAB/Simulink, enhancing their ability to visualize and test system behavior. By the end of the course, learners will be proficient in designing and evaluating control strategies that meet performance, stability, and robustness requirements for a variety of dynamic systems and applications.

Overview

Section 1: Introduction

Lecture 1 Introduction to Control Systems and Their Types

Lecture 2 Need for Mathematical Modeling and Idealized Elements in Translational System

Lecture 3 Determining the Transfer Function of Mechanical Translational Systems- Problem 1

Lecture 4 Determining the Transfer Function of Mechanical Translational Systems- Problem 2

Lecture 5 Key Elements of Mechanical Rotational Systems

Lecture 6 Determining the Transfer Function for Mechanical Rotational Systems-Problem

Lecture 7 Analogous Systems

Lecture 8 Conversion of Mechanical Systems to Electrical Systems-f–V and f–I Analogies

Lecture 9 Block Diagram Reduction Rules

Lecture 10 Evaluation of Transfer Functions Using Block Diagram Reduction Techniques

Lecture 11 Introduction to Signal Flow Graphs

Lecture 12 Evaluation of Transfer Functions Using Signal Flow Graphs

Undergraduate Engineering Students Particularly from Electrical, Electronics, Instrumentation branches.