Consider the differential equations below, where x(t) is the input variable and y(t) the output variable....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the differential equations below, where x(t) is the input variable and y(t) the output variable. dy(t) + 2y(t): = dt 2 d³y(t) + dt³ 7 d'y(t) dt² 5x(t) + 3 +3 +21 dy(t) dt + 9y(t) 3x(t) Determine for each equation: i) Laplace Transfer function. ii) The Transfer Function (TF) G(s) by using appropriate change of variable. Explain why you must use a change of variable. iii) Determine the stability of each TF G(s) 1 of 3 iv) Draw unit step and impulse responses of each TF (In the midterm you may be asked to sketch i.e. rough drawing of similar TF or Using Matlab). No inverse of Y(s) is requested. v) Use the final value theorem to get y(t) at steady state conditions. Consider the differential equations below, where x(t) is the input variable and y(t) the output variable. dy(t) + 2y(t): = dt 2 d³y(t) + dt³ 7 d'y(t) dt² 5x(t) + 3 +3 +21 dy(t) dt + 9y(t) 3x(t) Determine for each equation: i) Laplace Transfer function. ii) The Transfer Function (TF) G(s) by using appropriate change of variable. Explain why you must use a change of variable. iii) Determine the stability of each TF G(s) 1 of 3 iv) Draw unit step and impulse responses of each TF (In the midterm you may be asked to sketch i.e. rough drawing of similar TF or Using Matlab). No inverse of Y(s) is requested. v) Use the final value theorem to get y(t) at steady state conditions.
Expert Answer:
Answer rating: 100% (QA)
To solve the given differential equations we need to follow a systematic approach i Laplace Transfer ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these accounting questions
-
Amy Lawrence, the owner of Random Walk Shoes, has asked you tohelp her as she launches her companys first Web site. In college,Amy was a business major with an artistic bent. She helped to payher way...
-
Form W-4V is similar to a Form W-4, Employee Withholding Allowance Certificate, in that it is completed by the taxpayer and informs the payer how much in tax to withhold from payments. What type of...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location. (a) Solve the inequality. (b) If the high and low monthly average temperatures...
-
a. What is learned from a well-formulated supply and demand curve analysis and how does this information help determine optimum production rates for maximum profitability? b. What is the correlation...
-
In a Rankine power system, 1.5 kg/s of steam leaves the turbine as saturated vapor at 0.51 bar. The steam is condensed to saturated liquid by passing it over the tubes of a shell-and-tube heat...
-
On 1 October 2025, Kevin Lindsay and Sharon Foster formed a partnership. Some business assets and the liabilities of Lindsay were assumed by the partnership, and these are listed below at both...
-
Peabody Academy is a profit-oriented education business. Peabody provides remedial training for high school students who have fallen behind in their classroom studies. It charges its students $650...
-
Operating systems and application programs play vital role in our daily usage of computers. Differentiate between an operating system and an application program give examples each.
-
Project 1 is to build a medium-sized garage for a client over two years. The client will pay $10,000 as a deposit immediately, $40,000 the year after and $85,000 in the final year. Your company has a...
-
The report mentions limitations of the stakeholder analysis. What are some of these? What would you change to improve the methodology? Peter Shumlin assumed office as Vermonts governor in January...
-
Your car is skidding to a stop from a high speed. Describe a situation. For each problem, identify all the forces acting on the object and draw a free-body diagram of the object.
-
Tina is the sole owner of Tinas Lawn Mowing, Incorporated (TLM). In one year, TLM collects $1,000,000 from customers to mow their lawns. TLMs equipment depreciates in value by $125,000. TLM pays...
-
For fiscal year 2018, Tesco had total revenues of \($485.65\) billion, net income of \($16.36\) billion, total assets of \($203.49\) billion, and total shareholders equity of \($81.39\) billion. a....
-
Velocity Financial, Inc. conducted its IPO on January 17, 2020 for the principal purposes of increasing its capitalization and financial flexibility, creating a public market for its common stock,...
-
Sidney Southern owned a restaurant which was condemned on November 20, 2017. On January 15, 2018, he received a condemnation award of \(\$ 280,000\). The adjusted basis of his restaurant was \(\$...
-
Figure 2.26: Topographic Map of the Lassen Peak 1 Identify the latitude of Point A (Brokeoff Meadows) on the Lassen Peak Quadrangle ( Figure 2.26 ). Hint: be sure to write as, degrees, minutes,...
-
Identify the Critical Infrastructure Physical Protection System Plan.
-
Emily Jackson (Social Security number 765-12-4326) and James Stewart (Social Security number 466-74-9932) are partners in a partnership that owns and operates a barber shop. The partnership's first...
-
Laura is a single taxpayer living in New Jersey with adjusted gross income for the 2012 tax year of $35,550. Laura's employer withheld $3,300 in state income tax from her salary. In April of 2012,...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...
-
What is the difference between a firm's gross profit margin, operating profit margin, and net profit margin?
-
Tsingtao Companys balance sheet shows a stockholders equity book value (total common equity) of \($800,500.\) The firms earnings per share were \($3.50,\) resulting in a price/earnings ratio of...
-
The balance sheet and income statement for the Papua New Guinea Coconut Company are as follows: Income Statement ($000) Balance Sheet (5000) Cash Accounts receivable Inventories $ 550 2,500 1.100...
Study smarter with the SolutionInn App