Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN: 9781337399128
Author: Russell E. Smith
Publisher: Cengage Learning
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Chapter 1, Problem 9RQ
What type of ladder should the technician use on the job?
- a. aluminum
- b. fiberglass
- c. wood
- d. both a and b
- e. both b and c
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We will consider a linear system and a nonlinear system under uncertainty, each expressed in the form
of a set of stochastic differential equation (SDE) as follows:
=
da (Ax+ Bu)dt + Gdw,
dx = f(x,u,t)dt+Gdw,
(1)
(2)
where x is the state, u is the control, and dw is a differential increment of standard Brownian motion, i.e.,
E[dw] = 0 and E [dw(t)dw(t)] = dt-1.
In this problem, we consider the linear SDE, Eq. (1), with a very simple model where x = R², u = [0,0]
(no control), and dw R². The matrices A, B, and G are given as follows:
A=02x2, B=02x2; G = [000]
(3)
where σp Є R represents the degree of the uncertainty, and let us take σ₁ = 2 and σ2 = 3. Assume that the
initial state is deterministic and e(t = 0) = [0,0]. Take the following steps to simulate the given SDE for
1 € [0, 1]:
(a): Consider the increments of w between each time interval [+1). Derive the analytical expression
of Aw using w~N(02, 12), where Aw, w(tk+1) — w(tk).
(c): Derive the approximate continuous-time EoM from…
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Chapter 1 Solutions
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
Ch. 1 - True or False: A heating and air-conditioning...Ch. 1 - What is a live electrical circuit?Ch. 1 - Which of the following voltages will a...Ch. 1 - Electrical shock occurs when a person _________....Ch. 1 - What are the important elements of electrical...Ch. 1 - Prob. 6RQCh. 1 - Which of the following is the standard by which...Ch. 1 - Prob. 8RQCh. 1 - What type of ladder should the technician use on...Ch. 1 - What precautions should be taken when you see a...
Ch. 1 - True or False: It is recommended that at least one...Ch. 1 - True or False: The correct fuse size for an...Ch. 1 - What is the difference between a two-prong plug...Ch. 1 - Which prong on a three-prong plug is the ground?...Ch. 1 - True or False: A grounding adapter does no good if...Ch. 1 - An electrical device that will open an electrical...Ch. 1 - True or False: Receptacles used on the job site...Ch. 1 - What precautions should you use when working in an...Ch. 1 - What is the difference between a fuse and a...Ch. 1 - List at least five electrical safety rules that...
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