Feedback Control Theory for Engineers

Textbooks in the field of control engineering have, in the main, been written for electrical engineers and the standard of the mathematics used has been relatively high. The purpose of this work is to provide a course of study in elementary control theory which is self-contained and suitable for students of all branches of engineering and of applied physics. The book assumes that the student has a knowledge of mathematics of A-level or 0-2 level standard only. All other necessary pure and applied mathematics is covered for reference purposes in chapters 2-6. As a students' textbook it contains many fully worked numerical examples and sets of examples are provided at the end of all chapters except the first. The answers to these examples are given at the end of the book. The book covers the majority of the control theory likely to be encountered on H. N. C. , H. N. D. and degree courses in electrical, mechanical, chemical and production engineering and in applied physics. It will also provide a primer in specialist courses in instru­ mentation and control engineering at undergraduate and post­ graduate level. Furthermore, it covers much of the control theory encountered in the graduateship examinations of the professional institutions, for example I. E. E. Part III (Advanced Electrical Engineer­ ing and Instrumentation and Control), I. E. R. E. Part 5 (Control Engineering) and the new c. E. I. Part 2 (Mechanics of Machines and Systems and Control Engineering). Textbooks in the field of control engineering have, in the main, been written for electrical engineers and the standard of the mathematics used has been relatively high. The purpose of this work is to provide a course of study in elementary control theory which is self-contained and suitable for students of all branches of engineering and of applied physics. The book assumes that the student has a knowledge of mathematics of A-level or 0-2 level standard only. All other necessary pure and applied mathematics is covered for reference purposes in chapters 2-6. As a students' textbook it contains many fully worked numerical examples and sets of examples are provided at the end of all chapters except the first. The answers to these examples are given at the end of the book. The book covers the majority of the control theory likely to be encountered on H.N.C., H.N.D. and degree courses in electrical, mechanical, chemical and production engineering and in applied physics. It will also provide a primer in specialist courses in instruƯ mentation and control engineering at undergraduate and postƯ graduate level. Furthermore, it covers much of the control theory encountered in the graduateship examinations of the professional institutions, for example I.E.E. Part III (Advanced Electrical EngineerƯ ing and Instrumentation and Control), I.E.R.E. Part 5 (Control Engineering) and the new c. E.I. Part 2 (Mechanics of Machines and Systems and Control Engineering) Front Matter....Pages i-xiv Introduction to Control Engineering....Pages 1-15 Graphical Representation of Signals....Pages 16-33 The Use of Complex Numbers in the Solution of Vector Problems....Pages 34-43 The Principles of Mechanics and Simple Electrodynamics Using the M.K.S. System....Pages 44-65 The Solution of Linear Differential Equations with Constant Coefficients....Pages 66-83 Equations of Physical Systems....Pages 84-105 Control System Components....Pages 106-156 The Dynamics of a Simple Servomechanism for Angular Position Control....Pages 157-197 Transfer Functions....Pages 198-238 Introduction To Frequency Response Methods....Pages 239-277 Series Compensation using the Nyquist Diagram....Pages 278-301 Parallel Compensation using the inverse Nyquist Diagram....Pages 302-328 Logarithmic Representation of Frequency Response Functions....Pages 329-368 Process Control Systems....Pages 369-403 Back Matter....Pages 404-434 1 Introduction to Control Engineering.- 1.1 Introduction. 1.2 Definitions. 1.3 The Position-Control System. 1.4 Process-Control Systems. 1.5 Autonomic Control Systems. 1.6 Reasons why Control Systems are Preferred to Human Operators. 1.7 Concluding Remarks.- 2 Graphical Representation of Signals.- 2.1 Introduction. 2.2 Steps, Ramps, Pulses and Impulses. 2.3 Exponential Functions. 2.4 Sinusoidal Quantities. 2.5 Exponentially Damped Sinusoids.- 3 The Use of Complex Numbers in the Solution of Vector Problems.- 3.1 Introduction. 3.2 Imaginary Numbers. 3.3 Complex Numbers. 3.4 Graphical Representat