The Dynamics Of Automatic Control Systems – Popov

In this post, we will see the book The Dynamics Of Automatic Control Systems by E. P. Popov.

About the book

Prof. Popov’s book on the theory of servomechanisms and control systems will be of interest to English readers in showing the meticulous detail into which Russian engineers and students are led when discussing these subjects.
A few standard and useful examples are taken and form the basis for discussion at all levels, from the most elementary to the most complete and advanced, so that a sense of continuity is preserved throughout the volume.The translation preserves much of the Russian sentence structure and the editor did not find it possible to alter this without a more or less complete rewriting of the translator’s manuscript. Neverthe­less, it is hoped that a readable result has been obtained and that the spirit of the whole is faithful to that of the original.

The wide study of the theory of automatic control in our institutions of higher education is a very recent development. Many engineers therefore have come to study it only when already engaged in practical work. The present book has the aim of assisting these broad circles of engineers and students to acquaint themselves in the most accessible form with the foundations of the theory of automatic control, in which the main role is played by the dynamics of control systems.
Following the aim of the most accessible development, the author has consciously tried to reduce to a minimum the use of operational calculus and the theory of functions of the complex variable and everywhere, where possible, to confine himself to the use of the symbolic operational method as a means of simplifying the notation and manipulation of differential equations.
The book presents those theoretical methods of analysis and synthesis of automatic control systems common to systems of various physical natures and designs. The concrete examples presented in the book, therefore, by no means pretend to reproduce the designs of contemporary automatic control systems. They will be only the simplest functional circuits serving to illustrate the principal ideas in the construction of automatic control systems and the application of the theoretical methods developed here. By analogy, the reader may then apply these ideas and methods to the concrete automatic control systems of interest to him.

Attempting to describe in detail the fundamental results of the theory of automatic control, the author has been forced to limit himself to brief remarks on a number of special questions. Statistical methods and questions of representation of automatic control systems have been completely neglected here. Each of these important fields is so specialised that it may constitute the subject of separate books.

The book was translated from Russian was published in 1961.

Credits to original uploader.

You can get the book here.

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Contents

CHAPTER I
FORMS OF AUTOMATIC CONTROL SYSTEMS 3

CHAPTER II
TRANSIENTS IN AUTOMATIC REGULATION SYSTEMS 30

Chapter III
METHODS OF IMPROVING THE REGULATION PROCESS 101

CHAPTER IV
SOME PROBLEMS IN THE THEORY OF AUTOMATIC REGULATION 135

CHAPTER V
LINEARISATION AND TRANSFORMATION OF THE DIFFERENTIAL EQUATIONS OF AN AUTOMATIC REGULATION SYSTEM 149

 

CHAPTER VI
SETTING UP THE EQUATIONS OF ORDINARY LINEAR AUTOMATIC REGULATION SYSTEMS 201

 

CHAPTER VII
STABILITY CRITERIA FOR ORDINARY LINEAR SYSTEMS 241

 

CHAPTER VIII
CHOICE OF STRUCTURE AND PARAMETERS OF ORDINARY LINEAR AUTOMATIC REGULATION SYSTEMS FROM THE STABILITY CONDITION 283

CHAPTER IX
APPROXIMATE CRITERIA OF THE QUALITY OF TRANSIENT RESPONSE IN LINEAR SYSTEMS FROM THE ROOTS OF THE CHARACTERISTIC EQUATION 314

CHAPTER X
APPROXIMATE CRITERIA OF TRANSIENT QUALITY IN LINEAR SYSTEMS TAKING INTO ACCOUNT THE RIGHT-HAND SIDE OF THE EQUATION OF THE CLOSED SYSTEM 361

CHAPTER XI
DERIVATION OF THE EQUATIONS OF SYSTEMS WITH DELAY AND WITH DISTRIBUTED PARAMETERS 403

CHAPTER XII
INVESTIGATION OF STABILITY IN SYSTEMS WITH DELAY AND WITH DISTRIBUTED PARAMETERS 419

CHAPTER XIII
PULSE (DISCONTINUOUS) AUTOMATIC REGULATION SYSTEMS 445

CHAPTER XIV
DERIVATION OF THE EQUATIONS OF NON-LINEAR AUTOMATIC REGULATION SYSTEMS 465

CHAPTER XV
STUDY OF STABILITY AND SELF-OSCILLATIONS IN NON-LINEAR AUTOMATIC REGULATION SYSTEMS 487

CHAPTER XVI
THE APPROXIMATE DETERMINATION OF OSCILLATIONS AND STABILITY OF NON-LINEAR SYSTEMS 559

CHAPTER XVII
SELF-OSCILLATIONS IN THE PRESENCE OF AN EXTERNAL FORCE AND FORCED OSCILLATIONS OF NON-LINEAR SYSTEMS 667

CHAPTER XVIII
NUMERICAL-GRAPHICAL METHOD 699

 

CHAPTER XIX
ANALYTIC SOLUTION AND FREQUENCY METHOD 731

 

 

 

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