AcknowledgmentsPrefaceNotationChapter 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-SystemsChapter 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 VehicleChapter 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 CircuitChapter 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 LawChapter 3: State Space Techniques - Examples 3.1 Equation of State 1.