CONTROL SYSTEMS

Module 1: Introduction to Control Problem

Industrial Control Examples • Mathematical Models of Physical Systems • Control Hardware and Their Models • Transfer Function Models of Linear Time-Invariant Systems • Feedback Control: Open-Loop and Closed-loop Systems • Benefits of Feedback • Block Diagram Algebra

Module 2: Time Response Analysis

Standard Test Signals • Time Response of First and Second Order Systems for Standard Test Inputs • Application of Initial and Final Value Theorem • Design Specifications for Second-Order Systems Based on the Time-Response • Concept of Stability • Routh-Hurwitz Criteria • Relative Stability Analysis • Root-Locus Technique • Construction of Root-loci

Module 3: Frequency-Response Analysis

Relationship Between Time and Frequency Response • Polar Plots • Bode Plots • Nyquist Stability Criterion • Relative Stability Using Nyquist Criterion - Gain and Phase Margin • Closed-loop Frequency Response

Module 4: Introduction to Controller Design

Stability, Steady-state Accuracy, Transient Accuracy, Disturbance Rejection, Insensitivity and Robustness of Control Systems • Root-loci Method of Feedback Controller Design • Design Specifications in Frequency-Domain • Frequency-Domain Methods of Design • Application of Proportional, Integral and Derivative Controllers • Lead and Lag Compensation in Designs • Analog and Digital Implementation of Controllers

Module 5: State Variable Analysis

Concepts of State Variables • State Space Model • Diagonalization of State Matrix • Solution of State Equations • Eigenvalues and Stability Analysis • Concept of Controllability and Observability • Pole-placement by State Feedback • Discrete-time Systems • Difference Equations • State-Space Models of Linear Discrete-time Systems • Stability of Linear Discrete-time Systems