Classical and Modern Control with Worked Examples

Pergamon International Library of Science, Technology, Engineering and Social Studies: International Series on Systems and Control, Volume 2

1st Edition - January 1, 1981
Authors: Jean-Pierre Elloy, Jean-Marie Piasco
Editors: M G Singh, H Akashi, Y C Ho
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 5 2 2 0 - 2

Classical and Modern Control with Worked Examples contains problems in automatic control, with emphasis on continuous time systems. The book contains exercises that increase in… Read more

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Classical and Modern Control with Worked Examples contains problems in automatic control, with emphasis on continuous time systems. The book contains exercises that increase in difficulty. The text is organized into three parts, with each of the three parts divided into two chapters. The first chapter of each part consists of a course abstract; the second chapter contains the exercises relevant to the course in question. The first and second parts are devoted to linear and non-linear servo-systems. The third part introduces representation in the form of equations of state of linear systems. The book will be useful to students, technicians, and qualified engineers who wish to acquaint themselves in a practical way with both the traditional and the modern principles of automatic control, and with their application to industrial processes of all kinds.

Acknowledgments

Preface

Notation

Chapter A: Linear Servomechanisms - Course Abstract

A.1 Study of Monovariable Linear Systems

1.1 Transfer Function

1.2 Stability of Linear Systems

1.3 Response of a Linear System to a Sinusoidal Excitation

1.4 First Degree System

1.5 Second Degree System

A.2 Open Loop and Closed Loop Systems

2.1 Harmonic Responses in Open and Closed Loop

2.2 Root Locus

A.3 Stability of Servo-Systems

3.1 Nyquist Test

3.2 Inverse Nyquist Test

A.4 Precision and Correction of Servo-Systems

4.1 Precision

4.2 Correction of Servo-Systems

Chapter 1: Linear Servomechanisms - Examples

1.1 Putting into Equations, Block Diagram, Study of Simple Systems

1.1 Trough System

1.2 Pneumatic Regulator

1.3 Hydraulic Servo-System

1.4 Study of a Position Servo-System

1.5 Study of the Symmetrical Flight of an Aircraft in Proximity to the Horizontal Flight

1.6 Electric Filter

1.2 Open and Closed Loop Systems, Adjustment of Gain, Root Locus

2.1 Adjustment of Gain: Example 1

2.2 Adjustment of Gain: Example 2

2.3 Hydraulic Steering Equipment

2.4 The Root Locus

2.5 Study of Regulation of Level

1.3 Stability of Servo-Systems

3.1 Stability of Some Unit Feedback Servo-System

3.2 Routh Test and Nyquist Test

3.3 Study of the Automatic Pilot of an Aircraft

3.4 Servo-System for The Conductivity of a Solution

3.5 Servo-System of a Ship's Course

3.6 Servo-System of an Aircraft Trim

1.4 Accuracy and Correction of Servo-Systems

4.1 Accuracy of Servo-System: Example 1

4.2 Accuracy of Servo-System: Example 2

4.3 Study of a Speed Servo-System

4.4 Adjustment of Gain and Accuracy of Servo-System

4.5 Mixer

4.6 Correction of a Servo-System by a Phase Lead Circuit or a Phase Lag Circuit

4.7 Study of the Automatic Pilot of a Space Vehicle

Chapter B: Non-linear Servomechanisms - Course Abstract

B.l Method of the First Harmonic

1.1 Principle

1.2 Critical Curve

1.3 Stability

B.2 The Phase Plane Method

2.1 Principle

2.2 Construction of a Trajectory in the Phase Diagram

2.3 Non-linearities which are Piece-wise Linear

Chapter 2: Non-linear Servomechanisms - Examples

2.1 First Harmonic Method

1.1 Equivalent Gain and Limit Cycle Oscillation

1.2 Relay Type Non-linearity

1.3 Hysteresis and Threshold Type Non-linearity

1.4 Pneumatic Membrane Regulator

1.5 Threshold Type Non-linearity

1.6 Amplifier with Non-linear Gain in Closed Loop System

2.2 Phase Plane Method

2.1 Isoclines Method

2.2 Relay Position Servo-System

2.3 Servo-System of Position in the Presence of Friction

2.4 Phase Plane Method Applied to Exercise 2.1.1

2.3 Problems

3.1 Automatic Piloting of an Aircraft

3.2 Study of a Non-linear Phase Lead Corrector Circuit

Chapter C: State Space Techniques - Course Abstract

C.l State Representation

1.1 Principle

1.2 Real Distinct Poles

1.3 Real Multiple Poles

1.4 Complex Poles

1.5 Multi-variable Case

C.2 Response of a System Described in State Form

2.1 Free System

2.2 Forced System

C.3 Observability - Controllability

3.1 Observability

3.2 Controllability

C.4 Stability

4.1 Stability of x = f (x,t) in the Lyapunov Sense

4.2 Stability of x = Ax in the Lyapunov Sense

4.3 Stability Through Eigen-Values

C.5 Calculation of a Control Law

5.1 Calculation of a Riterion

5.2 Application to the Calculation of a Control Law

Chapter 3: State Space Techniques - Examples

3.1 Equation of State

1.1 Transfer Function with Multiple Poles

2.2 Multi-variable Process

1.3 Electrical System

1.4 Ward-Leonard Unit

1.5 Passage of Equation State to Transfer Function

3.2 Change of State

2.1 Diagonalization of the Matrix of State

2.2 Simplification of the Equation of State

2.3 Multiple Eigenvalues

2.4 Complex Eigenvalues

3.3 Observability - Controllability

3.1 Monovariable process

3.2 Observer

3.4 Response of a System Described in the Form of an Equation of State

4.1 Calculation of the Matrix of Transition

4.2 Step Response Without Initial Conditions

4.3 Step Response with Initial Conditions

4.4 Complex Eigenvalues

4.5 Direct calculation by the modes

3.5 Lyapunov Method

5.1 Stability

5.2 Stability of a Closed Loop System

5.3 Calculation of a Control Law

5.4 Servo-System of a Motor

References

Index