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Fourier Analysis Of Control System

5034 words - 21 pages

[Fourier analysis of Control System]

[Fourier analysis of Control System]

Submitted to:
Dr. S. K. Raghuwanshi

Submitted By:
Rishi Kant Sharan
Semester: V
Branch: Electronics & Communication Engineering

Submitted to:
Dr. S. K. Raghuwanshi

Submitted By:
Rishi Kant Sharan
Adm. No: 2010JE1117
Semester: V
Branch: Electronics & Communication Engineering

Abstract
The assignment focuses on the Fourier analysis of Control System. Which leads to frequency domain analysis of control system. The scope of estimation and controlling the behavior a system by means of Fourier transformation of its transfer function and analyzing its frequency response.

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Finally, I sincerely thank to my friends, parents, family, and all others who provided me support and suggestions at different steps of the paper.
The product of this term paper would not be possible to come in light without all of them.
……………..

Rishi Kant Sharan

CONTENTS
1. Introduction………………………………………………………………………..3
2. Control System Response…………………………………………………………4
a. Time Response……………………………………………………………...4
b. Frequency Response………………………………………………………...5
3. Fourier Analysis of Control System………………………………………………6
c. Introduction…………………………………………………………………6
d. Analysis……………………………………………………………………...7
4. Methods & Applications of analysis in frequency domain……………………...10
a. Application……………………………………………………………...…..10
b. Bode Plot……………………………………………………………..……..11
c. Nyquist Plot…………………………………………………...…………….16
d. Nichol’s Chart………………………………….……………………………21
5. References………….……………………………………………………………….23

INTRODUCTION
Engineering is concerned with understanding and controlling the materials and forces of nature for the benefit of humankind. Control system engineers are concerned with understanding and controlling segments of their environment, often called systems, to provide useful economic products for society. The twin goals of understanding and controlling are complementary because effective systems control requires that the systems be understood and modelled. Furthermore, control engineering must often consider the control of poorly understood systems such as chemical process systems. The present challenge to control engineers is the modelling and control of modern, complex, interrelated systems such as traffic control systems, chemical processes, and robotic systems. Simultaneously, the fortunate engineer has the opportunity to control many useful and interesting industrial automation systems. Perhaps the most characteristic quality of control engineering is the opportunity to control machines and industrial and economic processes for the benefit of society.
Control engineering is based on the foundations of feedback theory and linear system analysis, and it integrates the concepts of network theory and communication theory. Therefore control engineering is not limited to any engineering discipline but is equally applicable to aeronautical, chemical, mechanical, environmental, civil, and electrical engineering. For example, a control system often includes electrical, mechanical, and chemical components. Furthermore, as the understanding of the dynamics of business, social and political systems increases, the ability to control these systems will also increase.
A control system is a device or set of devices to manage, command, direct or regulate the behavior of other devices or system. Modern control engineering practice includes the use of control design strategies for improving manufacturing processes, the efficiency of energy use, and advanced automobile control (including...

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