Control systems

COURSE LAYOUT

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  :  Rouths 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.