1. Based on a simple, constant context, you will arrive at a stationary state for a unregulated,...
Question:
1. Based on a simple, constant context, you will arrive at a stationary state for a unregulated, and then a regulated system. Assume that air resistance and friction for a car increase in the power of 2 of speed, as follows:
F = CV2 where C = 3kg/m
What engine power Fnom is needed to maintain a speed of 30m/s?
2. Assume that the cruise control controls engine power according to the formula Fu = Kp(Vd - V). Here is Vd the desired velocity and V the real velocity. The difference between them is called the regulatory deviation. The desired velocity is 30m/s. But you do not know yet what the real speed will be, so you can't use F or V from task 1. What becomes the real velocity, V, and the regulatory deviation, e, if Kp is 0, 1000 and 2000, respectively Ns/m? Can you draw any conclusion about regulatory deviation e = Vd - V based on this?
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill