Feedback Control Theory for EngineersTextbooks 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). |
Contents
1 | |
The Use of Complex Numbers in the Solution | 34 |
Chapter 4 | 44 |
4 Simple Electrodynamics 4 5 Abbreviations | 63 |
Chapter 6 | 84 |
Chapter 7 | 106 |
Chapter 8 | 157 |
7 The Use of Nondimensional Notation | 180 |
Chapter 10 | 239 |
Chapter 11 | 278 |
Control Systems 11 4 The Design of Cascaded Compensating | 300 |
Elements on Inverse Loci 12 6 Design of Parallel Compensated | 327 |
Chapter 13 | 329 |
Bode Diagram 13 4 Design of Compensating Devices using Bode | 361 |
Appendix | 404 |
427 | |
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Common terms and phrases
acceleration feedback angular frequency angular position angular resonant frequency angular velocity Argand diagram armature asymptotic axis Bode diagram chapter circuit compensated system complex number D-form d.c. motor damping Determine device differential equation driving function electrical electronic amplifier error constant error detector example exponential lags field winding frequency locus frequency response frictional torque given gyroscope H(jw H₁ H₂ handwheel Hence hydraulic Imaginary inertia inverse JD² K₁ K₂ Laplace transform load log-modulus characteristic loop M-circle magnitude mechanical method moment of inertia Nichols chart Nyquist diagram open-loop frequency open-loop transfer function output element phase angle phase margin phase-lag phase-lead network pneumatic potentiometer pressure proportional rad/s resistance rotation servomechanism shaft shown in Fig sine wave sinusoidal specification speed stable on closed T₁ T₂ transient response type 1 system uncompensated V₁ valve vector velocity feedback velocity lag viscous frictional voltage zero