. In navigation systems it is important to align a system to the vertical. This can be...
Fantastic news! We've Found the answer you've been seeking!
Question:
.
Transcribed Image Text:
In navigation systems it is important to align a system to the vertical. This can be accomplished by measuring the vertical acceleration and controlling the platform so that the measured acceleration is zero. A simplified one-dimensional version of the problem can be modeled by de dt u = -ky, y=p+w, where is the alignment error, u the control signal, y the measured signal, and w the measurement noise, which is assumed to be white noise with zero mean and covariance function E(w(s)wT (t)) = rwo(t-s). The initial misalignment is assumed to be a random variable with zero mean and the covariance Po. Determine a time- varying gain k(t) such that the error goes to zero as fast as possible. Compare this with a constant gain. (Vertical alignment) = U₂ In navigation systems it is important to align a system to the vertical. This can be accomplished by measuring the vertical acceleration and controlling the platform so that the measured acceleration is zero. A simplified one-dimensional version of the problem can be modeled by de dt u = -ky, y=p+w, where is the alignment error, u the control signal, y the measured signal, and w the measurement noise, which is assumed to be white noise with zero mean and covariance function E(w(s)wT (t)) = rwo(t-s). The initial misalignment is assumed to be a random variable with zero mean and the covariance Po. Determine a time- varying gain k(t) such that the error goes to zero as fast as possible. Compare this with a constant gain. (Vertical alignment) = U₂
Expert Answer:
Answer rating: 100% (QA)
navigation important to align im vertical this can be accomplished by measur... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
The idea is that elementary operations can be accomplished by matrix multiplication. If A is an m x n matrix on which we want to do an elementary operation, then there is a matrix E such that EA is...
-
In business it is important to plan and carry on research in order to anticipate what will occur at the end of the year. Research suggests that the profit (loss) spectrum is as follows with...
-
In any hydraulic system, it is important to "bleed" air out of the line. Why?
-
Given the following information set up the problem in a transportation table and solve for the minimum-cost plan: Minimum total cost? Demand 550 700 750 Capacity 500 500 500 Regular Overtime 50 50...
-
Download different Treasury yields (shorter and longer than 5-year term) and analyze their autocorrelations. Are they different from those in exercise 7?
-
A major lottery advertises that it pays the winner \(\$ 10\) million. However, this prize money is paid at the rate of \(\$ 500,000\) each year (with the first payment being immediate) for a total of...
-
Two pumps are being considered for purchase: Determine the service life, \(n_{\mathrm{y}}\), at which the two pumps are competitive. The annual effective interest rate is \(10 \%\). A Initial cost...
-
Young Tree Construction Company uses the percentage-of-completion method of accounting. In 2014, Young Tree began work under a contract with a contract price of $1,500,000. Other details follow:...
-
A steel suction anchor, 36" OD x 33" ID is being deployed as part of a mooring spread for a floating production platform located in 825 ft of water. The top of the anchor consists of a 1.1/2" thick...
-
Mr. Juan Dela Cruz is a self-employed professional based in the Philippines. He provides consulting services in the field of information technology. As a resident Filipino citizen, Mr. Dela Cruz is...
-
Human Resource Management (HRM) is the term used to describe various formal systems devised for the management of people within an organization. The responsibilities of a human resource manager fall...
-
Five sources of criminal law are early legal codes, the common law, modern statutes, the Model Penal Code, and constitutional sources. One of the earliest known examples of a formal written legal...
-
Prove that the optimum pressure ratio for intercooling of gas turbines with heat exchange is given below: \[\frac{p_{2}}{p_{1}}=\frac{p_{i}}{p_{1}}=\left(\frac{p_{2^{\prime}}}{p_{1}} ight)^{1 / 2}\]...
-
Crime is anything that lawmakers define as criminal. Torts are wrongs between individuals; crimes are offenses by an individual against society as a whole (even though there are real victims). ...
-
The defendant was convicted of unlawfully selling narcotic drugs. The Criminal Court, Cook County, Richard B. Austin, J., rendered a judgment, and the defendant brought error. The Supreme Court,...
-
The United States has a dual court system that separates federal and state courts. America is characterized by cooperative federalism, meaning some of the lines between federal and state power are...
-
Wilma Waggins Company uses a process costing inventory system. The goods are processed first in department X and then passed onto department Y before being passed on as finished goods inventory. What...
-
Nike manufactures shoes and sportswear. How has the Internet changed the way this company communicates with its suppliers and retail customers?
-
Let z 1 = -2 + 11i, z 2 = 2 - i. Showing the details of your work, find, in the form x + iy: z 1 /z 2 , z 2 /z 1
-
What are the mean thickness and the standard deviation of transformer cores each consisting of 50 layers of sheet metal and 49 insulating paper layers if the metal sheets have mean thickness 0.5 mm...
-
Verify Theorem 2 for the integral of e z from 0 to 1 + i (a) Over the shortest path. (b) Over the x-axis to 1 and then straight up to 1 + i.
-
To cool water for drinking during summer, \(1 \mathrm{~kg}\) of ice at \(-2^{\circ} \mathrm{C}\) is mixed with \(5 \mathrm{~kg}\) of water at \(27^{\circ} \mathrm{C}\) in an insulated container...
-
In a cyclic process, heat transfers are \(+14.7 \mathrm{~kJ},-25.2 \mathrm{~kJ},-3.56 \mathrm{~kJ}\) and \(+31.5 \mathrm{~kJ}\). What is the net work for this cyclic process?
-
A heat pump operates between two identical bodies of specific heat \(C\) at \(T_{1}\). The operation of the pump cools down one of the bodies to \(T_{2}\). Show that for the operation of pump the...
Study smarter with the SolutionInn App