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CONTROL SYSTEMS : THEORY AND APPLICATIONS
Rating: 4.0 out of 5(4 ratings)
22 students

CONTROL SYSTEMS : THEORY AND APPLICATIONS

Mathematical Modeling, System Analysis, and Feedback Control Techniques
Created byAnilet Bala A
Last updated 7/2025
English
English [Auto],

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.

Course content

4 sections • 40 lectures • 5h 13m total length

  • Introduction to Control Systems and Their Types7:33
  • Need for Mathematical Modeling and Idealized Elements in Translational System8:56
  • Determining the Transfer Function of Mechanical Translational Systems- Problem 114:50
  • Determining the Transfer Function of Mechanical Translational Systems- Problem 211:32
  • Key Elements of Mechanical Rotational Systems6:36

    Explore elements of rotational systems, including moment of inertia J, dashpot damping, and torsional spring, and relate torque to angular acceleration, angular velocity, and relative angular displacement.

  • Determining the Transfer Function for Mechanical Rotational Systems-Problem10:36
  • Analogous Systems2:24
  • Conversion of Mechanical Systems to Electrical Systems-f–V and f–I Analogies13:25
  • Block Diagram Reduction Rules8:27
  • Evaluation of Transfer Functions Using Block Diagram Reduction Techniques6:34
  • Introduction to Signal Flow Graphs5:23

    Use signal flow graphs to derive the transfer function via Mason's gain formula, and identify nodes, branches, forward paths, loops, non-touching loops, and path gains.

  • Evaluation of Transfer Functions Using Signal Flow Graphs12:40

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.

Who this course is for:

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

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