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Indian Institute of Technology Madras

Control Systems

Indian Institute of Technology Madras and NPTEL via Swayam

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Course Objective: To provide a basic understanding of the concepts and techniques involved in designing control schemes for dynamic systems.Learning Outcomes: At the end of this course, one should possess in-depth knowledge of concepts from classical control theory, understand the concept of transfer function and use it for obtaining system response, analyze dynamic systems for their stability and performance, and design controllers (such as Proportional-Integral-Derivative) based on stability and performance requirements.INTENDED AUDIENCE: Undergraduate engineering students (electrical engineering, electronics engineering, mechanical engineering, aerospace engineering, chemical engineering, automobile engineering )PREREQUISITES:2nd year undergraduate students in engineering. Prefer that they have completed a course on engineering mathematics that teaches complex variables and Laplace transform.INDUSTRY SUPPORT:Automotive companies.


Week 1 : Introduction to Control, Classification of Dynamic Systems, Closed Loop Control System with Feedback,Mathematical Preliminaries – Complex Variables, Laplace Transform.Week 2 : Standard Inputs, Free and Forced Response, Transfer Function, Poles and Zeros.Week 3 : Response to various Inputs, Effect of Poles, Notion of Bounded Input Bounded Output (BIBO) stability.Week 4 : Effect of Zeros, Closed Loop Transfer Function, Dynamic Performance Specification, First Order Systems.Week 5 : Second Order Systems, Unit Step Response of Underdamped Second Order Systems, Concepts of Rise Time,Peak Time, Maximum Peak Overshoot and Settling Time.Week 6 : Controllers – Proportional (P), Integral (I) and Derivative (D) Blocks, Examples of PID controller design.Week 7 : Routh’s Stability Criterion, Use in Control Design, Incorporation of Performance Specifications in Controller Design, Analysis of Steady State Errors.Week 8 : Root Locus and its Application in Control Design.Week 9 : Frequency Response, Bode Plots, Nyquist Plots.Week 10 : Nyquist Stability Criterion, Relative Stability – Gain and Phase Margins.Week 11 : Control System Design via Frequency Response – Lead, Lag and Lag-Lead Compensation.Week 12 : Case Studies.

Taught by

Prof. C. S. Shankar Ram



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