Control of Continuous Linear Systems [Hardcover]

The author provides coverage of the ideas behind the developments of the main PID tuning techniques, as well as presenting the proof of the RouthHurwitz stability criterion and giving some new results dealing with the design of root locus.

Introduction xiii

Chapter 1. Introduction to Signals and Systems 1
Yannick BERTHOUMIEU, Eric GRIVEL and Mohamed NAJIM

1.1. Introduction 1

1.2. Signals: categories, representations and characterizations 1

1.2.1. Definition of continuous-time and discrete-time signals 1

1.2.2. Deterministic and random signals 6

1.2.3. Periodic signals 8

1.2.4. Mean, energy and power 9

1.2.5. Autocorrelation function 12

1.3. Systems 15

1.4. Properties of discrete-time systems 16

1.4.1. Invariant linear systems 16

1.4.2. Impulse responses and convolution products 16

1.4.3. Causality 17

1.4.4. Interconnections of discrete-time systems 18

1.5. Bibliography 19

Chapter 2. Discrete System Analysis 21
Mohamed NAJIM and Eric GRIVEL

2.1. Introduction 21

2.2. The z-transform 21

2.2.1. Representations and summaries 21

2.2.2. Properties of the z-transform 28

2.2.2.1. Linearity 28

2.2.2.2. Advanced and delayed operators 29

2.2.2.3. Convolutionl.