Examples

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Chapter 4 - Examples

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In this chapter we present a collection of examples spanning many different fields of science and engineering. These examples are used throughout the text and in exercises to illustrate different concepts. First-time readers may wish to focus on only a few examples with which they have had the most prior experience or insight to understand the concepts of state, input, output, and dynamics in a familiar setting.

Frequently Asked Questions Question: Can a control system include a human operator as a component? Question: How are stability, performance and robustness different? Question: How can I go from a continuous time linear ODE to a discrete time representation? Question: How can we tell from the phase plots if the system is oscillating? Question: How do you know when your model is sufficiently complex? Question: In the predator prey example, where is the fox birth rate term? Question: What is "closed form"? Question: What is a state? How does one determine what is a state and what is not? Question: What is a stochastic system? Question: What is the advantage of having a model? Question: What is the definition of a system? Question: Why does the effective service rate f(x) go to zero when x = 0 in the example on queuing systems? Question: Why isn't there a term for the rabbit death rate besides being killed by the foxes? Errata

Python Code The following Python scripts are available for producing figures that appear in this chapter. Figure 4.2: Torque curves for typical car engine Figure 4.3: Car with cruise control encountering a sloping road Figure 4.12: Internet congestion control Figure 4.13: Internet congestion control for N identical sources across a single link Figure 4.20: Simulation of the predator-prey system See the software page for more information on how to run these scripts. Additional Information