Control System

Course Title: Control System

Course No: ENEE 204

Nature of the Course: Theory + Lab

Semester: 3

Full Marks: 40 + 60 + 25

Pass Marks: 16 + 24 + 10

Credit Hours: 3

Course Description

Control System provides foundational knowledge in control system analysis and design. Topics include component modeling, system transfer functions and responses, stability analysis, root locus technique, frequency response techniques, compensation design, and state space analysis, with emphasis on applying principles to real-world physical processes.

Course Objectives

The objective of this course is to provide foundational knowledge in control system analysis and design. It introduces essential concepts needed to understand and create control systems. Students will learn to model and analyze control mechanisms. The course emphasizes applying these principles to real-world physical processes.

Course Contents

1. Control System Background

2 hrs

1.1. History of control system and its importance

1.2. Control system: Characteristics and basic features, components and variables

1.3. Types of control system and their comparison

2. Component Modeling

6 hrs

2.1. Differential equation and transfer function notations

2.2. Modeling of mechanical components: Mass, spring and damper

2.3. Modeling of electrical components: Inductance, capacitance, resistance, DC and AC motor, transducers and operational amplifiers

2.4. Electric circuit analogies: Force-voltage analogy and force-current analogy

2.5. Linearized approximations of non-linear characteristics

3. System Transfer Function and Responses

10 hrs

3.1. Combinations of components to physical systems

3.2. Block diagram algebra and system reduction

3.3. Signal flow graphs

3.4. Time response analysis

Types of test signals: Impulse, step, ramp, parabolic

Time response analysis of first order system

Time response analysis of second order system

Transient response characteristics: Rise time, peak time, delay time, settling time and maximum overshoot

3.5. Static error coefficients and steady state error

3.6. P, PI, PD, PID controller and derivative feedback controller

4. Stability

4 hrs

4.1. Introduction of stability and causes of instability

4.2. Characteristic equation, root location and stability

4.3. Setting loop gain using Routh-Hurwitz (R-H) criterion

4.4. R-H stability criterion

4.5. Relative stability from complex plane axis shifting

5. Root Locus Technique

6 hrs

5.1. Introduction of root locus

5.2. Relationship between root loci and time response of systems

5.3. Rules for manual calculation and construction of root locus

5.4. Stability concept from Root Locus

6. Frequency Response Techniques

8 hrs

6.1. Frequency domain characterization of the system

6.2. Relationship between real and complex frequency response

6.3. Polar plot

6.4. Stability analysis in frequency domain: Gain margin, phase margin

6.5. Nyquist plot and criterion for stability analysis

6.6. Polar plot and Nyquist plot

6.7. Bode Plot: Significance of Bode plot, Magnitude and phase plot

6.8. Stability analysis from Bode plot

7. Performance Specifications and Compensation Design

6 hrs

7.1. Compensation technique and compensator

7.2. Application of root locus and frequency response on control system design

7.3. Lead, lag cascade compensation design

Root locus method

Bode plot method

7.4. Concept of Lead-lag compensator

8. State Space Analysis

3 hrs

8.1. Definition of state-space, state variables and state vector

8.2. State space representation of electrical and mechanical system

8.3. Conversion from state space to a transfer function

8.4. Conversion from transfer function to state space

8.5. State-transition matrix

Laboratory Works

Practical sessions of 22.5 hours covering open loop and closed loop DC motor control, gain and transfer function determination, feedback effects on gain and time constant, frequency response of first and second order systems, and simulation of closed loop speed and position control systems.

1.Open Loop and Closed Loop DC Motor Control Study
2.Gain and Transfer Function Determination
3.Effects of Feedback on Gain and Time Constant
4.Frequency Response of First and Second Order System
5.Simulation of Closed Loop Speed and Position Control System

Reference Books

1.Ogata, K. (2009). Modern Control Engineering (5th edition). Pearson.
2.Gopal, M. (2009). Control Systems: Principles and Design (4th edition). Tata McGraw-Hill.
3.Kuo, B. C. (2015). Automatic Control System (9th edition). Willey India.
4.Nagrath, I. J., Gopal, M. (2021). Modern Control Engineering (7th edition). New Age International.
5.Hassan, S. (2013). Automatic Control System (Reprint 2013). Arihant.

Notes:

This syllabus follows the official BEI curriculum of Tribhuwan University. In case of any doubt or revision, the university's published syllabus shall be considered authoritative. https://ioe.tu.edu.np/pages/electronics-engineering-curriculum-structure-2660

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Control System

Course Description

Course Objectives

Course Contents

Laboratory Works

Reference Books

Notes: