State Models of Dynamic Systems A Case Study Approach

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 i...

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Bibliographic Details
Main Author: McClamroch, N.H.
Format: eBook
Language:English
Published: New York, NY Springer New York 1980, 1980
Edition:1st ed. 1980
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • 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