2. Syllabus

Chapter 1: Introduction of Control system

Basic Concepts of Control System, Types of Control system, LTI Control system, Basics of Laplace Transform and Inverse Laplace Transform, Concept of Impulse Response and Transfer function.

Chapter 2: Mathematical Modeling of System

Mathematical Modeling of Electrical Elements, Mathematical Modeling of Mechanical System, Mechanical- Electrical Analogy, Mathematical Modeling of a Liquid-Level System, Mathematical Modeling of Thermal System, Applications of Biomedical Control System: Simple Model of lung Mechanics (Lumped), Muscle stretch reflex model (Lumped), Block Diagram Algebra, Signal Flow Graphs.

Chapter 3: Time Response Analysis

Transient and steady state response, Stability and Sensitivity of a system, Disturbance Rejection, Standard Test signals and their Needs, Time response of First order system for standard test signals, Speed of Response, Unit impulse and Unit step response of second order system, Effect of Damping factor in Second Order System Performance, Time Domain Specifications, Steady State Error and Error Constants, Derivation of Steady State errors of system (type 0, type 1 type 2), Effect of Adding a zero and pole to a system, Compensation, PID Controller.

Chapter 4: Stability Analysis and Root Locus Technique

Stability Criterion, Relationship between System parameters and pole locations, Hurwitz Stability Criterion, Routh Stability Criterion, Relative Stability Analysis, Root Locus method of Design, Value of Gain Margin and Phase margin from Root Locus, Effect of Addition/Cancellation of Poles and Zeros on Root Locus, Inverse Root Locus.

Chapter 5: Frequency Response Analysis

Concept of Frequency Response, Frequency Domain Specifications. Bode plot: Sketch of the Bode plot, Calculate Gain and Phase Margin from Bode plot, Stability using Bode plot, Transfer function from Bode plot. Polar Plot and Nyquist Plot: Sketch of the Polar Plot, Calculate Gain and Phase Margin from Polar plot, Stability using polar plot, Nyquist Analysis, Nyquist Stability Plot, Nyquist stability criterion, Relative Stability using Nyquist criterion.

Chapter 6: State Variable Analysis

Introduction, Advantages of State Space Approach, State Model, State Space Model from Differential Equation, State Space Model from Transfer Function, Transfer Function from State Space Model.