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DI03000181 · Semester 3 · 5G scheme

Control Instrumentation System

Notes and solutions following the Gujarat Technological University (GTU) syllabus for DI03000181. Independent material — not issued by the university.

Instrumentation & Control EngineeringAutomation & Robotics

Materials

Syllabus

The official syllabus this material follows.

  • Syllabus

    9 pages

    FreeRead

Complete Book

The whole syllabus, unit by unit, written for the exam.

Slides

Lecture slides for revision.

Past Papers

Original question papers from previous exams.

  • Summer 2026 question paper

    3 pages

    FreeRead
  • Winter 2025 question paper

    5 pages

    FreeRead

PYQ Solutions

Past university papers, fully solved.

  • Solved past papers — detailed answers

    17 pages · English + ગુજરાતી

Syllabus units

Unit 1: Introduction to Control System
  • 1.1 Background
  • 1.2 Important Term Definition: System, Control System, Plant, Controller, Input, Output, Disturbance, Controlled variable, Manipulated Variable
  • 1.3 Classification of Control System
  • 1.4 Open Loop Control System: Definition & Block Diagram, Advantages, Disadvantages, Real time Examples
  • 1.5 Closed Loop Control System: Definition & Block Diagram, Advantages, Disadvantages, Real time Examples
  • 1.6 Comparison of Open loop and Closed loop Control System
  • 1.7 Requirements of an Ideal Control System.
Unit 2: Mathematical Modeling
  • 2.1 Transfer Function: Definition, Properties, Advantages & Disadvantages, Poles & Zeros, Characteristic equation, Transfer function of standard RLC series/parallel Circuit, Transfer function of standard mechanical Translational and Rotational system.
  • 2.2 Methods of finding Transfer function: BDR & SFG
  • 2.3 BDR: Definitions, Block Diagram, Advantages/disadvantages, Rules, Canonical form, T.F. of simple closed loop system
  • 2.4 Signal flow graph(SFG): Definitions, Advantages/disadvantages, Rules, Mason's gain formula, Steps for solving SFG using Mason's gain formula
  • 2.5 Comparison of BDR & SFG
  • 2.6 System analogy: Concept, Advantages, Different system analogies (Force-Voltage & Force-Current)
Unit 3: Time Response Analysis of Control System
  • 3.1 Time response: Transient & Steady State Response
  • 3.2 Standard test signals: Step signal, Ramp Signal, Parabolic Signal, Impulse signal
  • 3.3 Time response of first order system to step input: Order & type of system, Characteristic equation
  • 3.4 Time response of second order system to step input: Damping Ratio & Natural Frequency of Oscillation, Time Response specification (Rise Time, Delay time, Peak time, Maximum overshoot, Settling time)
  • 3.5 Steady state error & error constant: Static error Position constant Kp, Static error velocity constant Kv, Static error acceleration constant Ka
Unit 4: Concept of Stability
  • 4.1 Stability: BIBO stability, Necessary condition for stability, Fundamentals of various Systems (Stable, Unstable and Marginally Stable systems), Location of Poles & Stability
  • 4.2 Routh stability criteria: Statement for Routh stability criteria, Determination of stability using Routh Criteria, Difficulties in formulation of Routh table
  • 4.4 Introduction to Root Locus Concept
  • 4.5 Rules for construction of Root Locus
  • 4.6 Simple examples of Root Locus: Derive root locus for given example (max up to type 1, order 2)
Unit 5: Frequency Response Analysis using Bode plot
  • 5.1 Introduction to Frequency Response Analysis
  • 5.2 Concept of Bode plot in brief
  • 5.3 Log Scales
  • 5.4 Standard form of GH (jw)
  • 5.5 Bode plot of standard factors
  • 5.6 Frequency Domain Specification: Gain Margin, Phase Margin, Gain crossover frequency, Phase crossover frequency, Bandwidth, Cut off frequency, Cut off rate, Resonance Peak, Resonant Frequency
  • 5.7 Steps for solving bode plots
  • 5.8 Examples of bode plot up to first order system only

About this course

This course helps students understand the basic concepts of control systems and their importance in instrumentation and automation. It enables students to model systems mathematically, analyze their behavior, and evaluate their stability and performance. The knowledge gained will help in designing and maintaining control systems used in industrial applications.