State Models of Dynamic Systems: A Case Study Approach
N. H. McClamrock · Journal of Dynamic Systems Measurement and Control · 1981
I Modeling Dynamic Systems.- Modeling Philosophy.- Some Physical Principles.- State Models.- Some Systems Concepts.- Use of State Models.- II First Order Linear State Models.- Some Systems Theory.- Case Study 2-1: Radioactive Decay of Cesium.- Case Study 2-2: Temperature in a Building.- Case Study 2-3: An RC Circuit.- Exercises.- III Second Order Linear State Models.- Some Systems Theory.- Case Study 3-1: Ingestion and Metabolism of a Drug.- Case Study 3-2: Mixing of a Salt Solution.- Case Study 3-3: DC Motor.- Case Study 3-4: A Bridged-T-Filter.- Exercises.- IV Higher Order Linear State Models.- Some Systems Theory.- Case Study 4-1: Reduction of Limestone by Heating.- Case Study 4-2: Vertical Ascent of a Deep Sea Diver.- Case Study 4-3: A Speedometer Mechanism.- Case Study 4-4: Automobile Suspension System.- Case Study 4-5: Magnetic Loudspeaker.- Exercises.- V First Order Nonlinear State Models.- Some Systems Theory.- Case Study 5-1: Management of a Fisheries Resource.- Case Study 5-2: Liquid Level in a Leaky Tank.- Case Study 5-3: High Temperature Oven.- Case Study 5-4: Circuit with Diode.- Exercises.- VI Second Order Nonlinear State Models.- Some Systems Theory.- Case Study 6-1: Motion of a Boat Crossing a River.- Case Study 6-2: Spread of an Epidemic.- Case Study 6-3: Tunnel-Diode Circuit.- Case Study 6-4: Underwater Launch of a Rocket.- Case Study 6-5: A Study of Blood Sugar and Insulin Levels with Application to Diabetes.- Exercises.- VII Higher Order Nonlinear State Models.- Some Systems Theory.- Case Study 7-1: Continuous Flow Stirred Tank Chemical Reactor.- Case Study 7-2: A Hot Air Balloon.- Case Study 7-3: Motion of a Rocket Near Earth.- Case Study 7-4: Electrostatic Microphone.- Exercises.- VIII Other Differential State Models.- Case Study 8-1: Feedback Control of the Liquid Level in a Tank.- Case Study 8-2: Automatic Regulation of Temperature in a Building.- Case Study 8-3: Sampled Control of a Field Actuated Motor.- Exercises.- IX Discrete Time and State Models.- Case Study 9-1: Occupancy in a Hospital Unit.- Case Study 9-2: An Inventory Model.- Case Study 9-3: Neuron Model.- Case Study 9-4: Coin Operated Dispenser.- Case Study 9-5: A Binary Communications Channel.- Case Study 9-6: Discrete Population Model.- Exercises.- Appendix A Units, Dimensions, and Conversion Factors.- Appendix B Laplace Transforms.- Appendix C Routh-Hurwitz Criteria.- Appendix D Linear Approximations.- Appendix E Digital Computer Simulation and CSMP.- References.