For the following model the output is x 1 and the input is f(t) x 1 5x 1 3x 2 x 2 x 1 4x 2 5f(t) a Use MATLAB to compute and plot the free response for x 1 (0) 3, and x 2 (0) 5 b Use MATLAB to compute and plot the unit step response for zero initial conditions c Use MATLAB to compute and plot the r...

a The matrices are The session is A 5 3 1 4 B 0 5 C 1 0 D 0 sysa ssABCD ...

For the following model the output is x 1 and the input is f(t). x 1 =

Question:

For the following model the output is x₁ and the input is f(t).

ẋ₁ = - 5x₁ + 3x₂

ẋ₂ = x₁ - 4x₂ + 5f(t)

a. Use MATLAB to compute and plot the free response for x₁ (0) = 3, and x₂(0) = 5.

b. Use MATLAB to compute and plot the unit-step response for zero initial conditions.

c. Use MATLAB to compute and plot the response for zero initial conditions with the input f(t) = 3sin 10πt, for 0 ≤ / ≤ 2.

d. Use MATLAB to compute and plot the total response using the initial conditions given in Part (a) and the forcing function given in part (c).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

See More Books

Question Posted: Mar 17, 2016 03:16 AM

See More Questions

Draw a block diagram for the following model. The output is X(s) the inputs are F(s) and G(.v). Indicate the location of Y(s) on the diagram. = y - 5x + g(t) = I0f(t) - 30x
The following model has a polynomial input. x 1 = -3.x 1 + 4x 2 x 2 = -5x 1 - x 2 + f(t) f(t) = - 5/3 t 2 + 25/3 t The initial conditions are x 1 (0) = 3 and x2(0) = 7. Use Simulink to plot x 1 (t)....
a. Obtain the transfer functions X(s)/F(s) and Y(s)/F(s) for the following model: 4 = y = f(t) - 3y - 12x b. Compute , (, n, and d for the model. c. If f(t) = us(t), will the responses x(t) and y(t)...
The price of a stock is $55. A put option written on this stock with a strike price of $48.8 is quoted at $7.2. One option contracts covers 100 underlying shares. A trader enters a short position in...
In a binomial situation, n 5 4 and p 5 .25. Determine the probabilities of the following events using the binomial formula. a. x 5 2 b. x 5 3
A logistic regression model is estimated to analyze the probability of complications for male patients resulting from a serious infection. Predictor variables include the patients weight and age and...
Jessica Pothier opened FunFlatables on June 1, 2010. The company rents out moon walks and inflatable slides for parties and corporate events. The company also has obtained the use of an abandoned ice...
The top prize for the state lottery is $100,000,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the...
(QUESTIONS) 1. Facts of the Case Provide a very concise and clear summary of the case. Be brief but do include all information that you feel is essential to the case. 2. Arguments provided by the...
Develop a database to help "YourPerfectEvent" event planners to manage their operations. The database must be able to accommodate the following. A customer contacts the company and makes...
Use MATLAB to obtain a state-variable model for the following transfer functions, a. a. Y(s)/F(s) = (6s + 7)/(s + 3) b. Y(s)/ F(s) = (s + 2)/(s2 + 4s + 3)
Given the state-variable model x1 = -5x1 + 3x2 + 2u1 x2 = -4x2 + 6u2 And the output equations y1 = x1 + 3x2 + 2u1 y2 = x2 Use MATLAB to find the characteristic polynomial and the characteristic roots.
What is your impression of the strategy described in the Research Highlight to increase graduation rates? Why, if it works, might other schools not adopt it?
Market concentration ratios also give some guidance to existing brands as well. High concentration ratios suggest that the marketplace has an oligopoly structure, which generally leads to less direct...
A general practitioner (GP) refers a 21-year-old man, who had been previously fit and well, for a second opinion. He had presented with a 6-week history of flitting arthralgia and myalgia. Prior to...
Please discuss the representation of a particular minority or disadvantaged group (or a group that has historically been marginalized) in a particular communication technology. How was that group...
Suppose a class of 1,000 students is comparing two careers - doctor or lawyer. Let n represent the number who choose to become doctors, so 1, 000 n is the number who choose to become lawyers. Each...
A group of consumers is organizing a boycott against a large discount retailer because it has replaced its "Merry Christmas" greeting with "Happy Holidays." Would you participate in this boycott? Why...
Suppose the following information is collected from Robert Keeler on his application for a home mortgage loan at the Metro County Savings and Loan Association. a. Monthly payments: $2,227 b. Number...
Select the correct answer for each of the following questions. 1. On December 31, 20X3, Saxe Corporation was merged into Poe Corporation. In the business combination, Poe issued 200,000 shares of its...
The inside of a hollow cylinder is maintained at a temperature Ta while the outside is at a lower temperature, Tb (Fig. P20.70). The wall of the cylinder has a thermal conductivity k. Ignoring end...
The passenger section of a jet airliner is in the shape of a cylindrical tube with a length of 35.0 m and an inner radius of 2.50 m. Its walls are lined with an insulating material 6.00 cm in...
A student obtains the following data in a calorimetry experiment designed to measure the specific heat of aluminum: Initial temperature of Water and calorimeter: 70C Mass of water: 0.400 kg Mass of...
BRAND SELF COLLATERAL What is your brand name? What is your logo (YOU MUST DESIGN IT What is your brand slogan (the phrase that defines your brand and yourself) What are celebrity spokesperson is...
Amidst the burgeoning complexity of contemporary business landscapes, how do advanced organizations employ sophisticated design principles and ergonomic considerations to optimize physical workspaces...
JavaScript Assignment 1: Personal Web site This assignment is linked to your final project. Thus far, you have completed a total of 4 sections as part of the Final Project. You have created a basic...

For the following model the output is x 1 and the input is f(t). x 1 =

Question:

Step by Step Answer:

a The matrices are The session is A 5 3 1 4 B 0 5 C 1 0 D 0 sysa ssABCD ...View the full answer

System Dynamics

Students also viewed these Classical Dynamics Of Particles questions