The purpose of this book is to expose undergraduate students to the use of applied mathematics and physical argument as a basis for developing an understanding of the response characteristics, from a systems viewpoint, of a broad class of dynamic physical processes. This book was developed for use in the course ECE 355, Dynamic Systems and Modeling, in the Department of Electrical and Computer Engineering at the University of Michigan, Ann Arbor. The course ECE 355 has been elected primarily by junior and senior level students in computer engineering or in electrical engineering. Occasionally a student from outside these two programs elected the course. Thus the book is written with this class of students in mind. It is assumed that the reader has previous background in mathematics through calculus, differential equations, and Laplace transforms, in elementary physics, and in elemen tary mechanics and circuits. Although these prerequisites indicate the orientation of the material, the book should be accessible and of interest to students with a much wider spectrum of experience in applied mathemati cal topics. The subject matter of the book can be considered to form an introduc tion to the theory of mathematical systems presented from a modern, as opposed to a classical, point of view. A number of physical processes are examined where the underlying systems concepts can be clearly seen and grasped. The organization of the book around case study examples has evolved as a consequence of student suggestions.
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ISBN-13
978-1-4612-6087-5 (9781461260875)
DOI
10.1007/978-1-4612-6087-5
Schweitzer Klassifikation
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 OtherDifferential 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.
