# Control Systems

Updated on 2019/03/21 13:27

## Overview

**Control Systems**

Abbreviation | CS | ||||
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Course | SE | ||||

Credits | |||||

Examination Scheme
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Language | English |

## Table of Contents

## Course Objectives

- To introduce the elements of control system and their modelling using various Techniques.
- To introduce methods for analyzing the time response, the frequency response and the stability of systems.
- To introduce the concept of root locus, Bode plots, Nyquist plots.
- To introduce the state variable analysis method.
- To introduce concepts of PID controllers and digital and control systems.
- To introduce concepts programmable logic controller

## Course Outcomes

On completion of the course, student will be able to:

- Determine and use models of physical systems in forms suitable for use in the analysis and design of control systems.
- Determine the (absolute) stability of a closed-loop control system.
- Perform time domain and frequency domain analysis of control systems required for stability analysis.
- Perform time domain and frequency domain correlation analysis.
- Apply root-locus, Frequency Plots technique to analyze control systems.
- Express and solve system equations in state variable form.

## Syllabus and Notes

### Unit 1: Control System Modeling

- Basic Elements of Control System, Open loop and Closed loop systems, Differential equations and Transfer function, Modeling of Electric systems, Translational and rotational mechanical systems, Block diagram reduction Techniques, Signal flow graph

### Unit 2: Time Response Analysis

- Standard input signals, Time response analysis of First Order Systems, Time response analysis of second order systems, Steady state errors and error constants, design specifications for second order systems.

### Unit 3: Stability Analysis

- Concept of Stability, Routh-Hurwitz Criterion, Relative Stability, Root Locus Technique, Construction of Root Locus, Dominant Poles, Application of Root Locus Diagram.

### Unit 4 :Frequency Response Analysis

- Frequency domain Versus Time domain analysis and its correlation, Bode Plots, Polar Plots and development of Nyquist Plots.
- Frequency Domain specifications from the plots, Stability analysis from plots.

### Unit 5 :State Variable Analysis

- State space advantages and representation, Transfer function from State space, physical variable form, phase variable forms: controllable canonical form, observable canonical form, Solution of homogeneous state equations, state transition matrix and its properties, computation of state transition matrix by Laplace transform method only, Concepts of Controllability and Observability.

### Unit 6 :Controllers And Digital Control Systems

- Introduction to PLC: Block schematic, PLC addressing, any one application of PLC using Ladder diagram.
- Introduction to PID controller: P, PI, PD and PID Characteristics and concept of Zeigler-Nicholas method.
- Digital control systems: Special features of digital control systems, Necessity of sample and hold operations for computer control, z-transform and pulse transfer function, Stability and response of sampled-data systems.

## Multiple Choice Questions

Online Phase-I | Unit-1 | Control System Modeling |

Unit-2 | Time Response Analysis | |

Online Phase-II | Unit-3 | Stability Analysis |

Unit-4 | Frequency Response Analysis |

## Ask Queries

## References

- WikiNote Foundation
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