1. TABLE OF CONTENTS 1. TABLE OF CONTENTS 1.1 2. ECONOMIC JUSTIFICATION 1.5 3. STATISTICS 1.8 3.1 DATA DISTRIBUTIONS 1.8 4. PROBABILITY 1.21 4.1 DISCRETE DISTRIBUTIONS 1.23 5. PETRI NETS 1.30 6. CURVES, SURFACES, VOLUMES AND SPLINES 1.44 6.1 INTRODUCTION 1.44 6.2 LINES/CURVES 1.45 6.3 SURFACE PATCHES 1.58 6.4 REFERENCES 1.62 6.5 PRACTICE PROBLEMS 1.62 7. DYNAMIC SYSTEM MODELLING AND CONTROL 1.64 7.1 INTRODUCTION 1.64 7.2 MODELING 1.64 8. TRANSLATION 1.65 8.1 MATHEMATICAL PROPERTIES 1.65 8.2 SYSTEM EXAMPLES 1.78 8.3 PRACTICE PROBLEMS 1.84 9. ROTATION 1.86 9.1 MATHEMATICAL ELEMENTS 1.86 9.2 SYSTEM EXAMPLES 1.93 9.3 PRACTICE PROBLEMS 1.96 10. ELECTRICAL COMPONENTS 1.99 10.1 MATHEMATICAL PROPERTIES 1.99 10.2 EXAMPLE SYSTEMS 1.108 10.3 PRACTICE PROBLEMS 1.110 11. ELECTROMECHANICAL SYSTEMS 1.115 11.1 MATHEMATICAL PROPERTIES 1.115 11.2 EXAMPLE SYSTEMS 1.116 11.3 PRACTICE PROBLEMS 1.122 12. THERMAL SYSTEMS 1.123 12.1 MATHEMATICAL PROPERTIES 1.123 12.2 EXAMPLE SYSTEMS 1.126 12.3 PRACTICE PROBLEMS 1.129 13. FLUID SYSTEMS 1.130 13.1 MATHEMATICAL PROPERTIES 1.130 13.2 EXAMPLE SYSTEMS 1.136 13.3 PRACTICE PROBLEMS 1.137 14. STANDARD MODEL FORMS 1.138 14.1 STATE VARIABLE EQUATIONS 1.138 14.2 INPUT-OUTPUT EQUATIONS 1.154 14.3 PRACTICE PROBLEMS 1.156 15. SYSTEM RESPONSES 1.163 15.1 FIRST ORDER STEP RESPONSE 1.163 15.2 SECOND ORDER STEP RESPONSE 1.166 15.3 OTHER RESPONSES 1.169 15.4 RESPONSE ANALYSIS 1.170 15.5 STEADY STATE - EQUILIBRIUM 1.170 15.6 PRACTICE PROBLEMS 1.171 16. LAPLACE TRANSFER FUNCTIONS 1.173 16.1 THE LAPLACE TRANSFORM 1.173 16.2 MODELING MECHANICAL SYSTEMS 1.179 16.3 MODELING ELECTRICAL SYSTEMS 1.180 16.4 USING LAPLACE TRANSFORMS 1.182 16.5 FOURIER TRANSFORMS FOR STEADY STATE ANALYSIS 1.200 16.6 BODE PLOTS 1.203 16.7 ROOT LOCUS ANALYSIS 1.209 16.8 A MAP OF TECHNIQUES FOR LAPLACE ANALYSIS 1.212 16.9 VIBRATIONS 1.213 16.10 SIGNAL SPECTRUMS 1.214 16.11 NON-LINEAR ELEMENTS 1.215 16.12 PRACTICE PROBLEMS 1.216 16.13 MORE PRACTICE PROBLEMS 1.222 16.14 LOG SCALE GRAPH PAPER 1.224 16.15 REFERENCES 1.227 17. DISCRETE CONTROL SYSTEMS 1.228 17.1 SAMPLES AS IMPULSE FUNCTION 1.228 17.2 INTRODUCTION TO Z-TRANSFORM 1.230
