The SISO system with transfer function [ mathrm{T}(s)=frac{mathrm{Y}(s)}{mathrm{U}(s)}=frac{9}{(s+2)left(s^{2}+4 s+13ight)} ] involves complex characteristic roots. Obtain the diagonal
Question:
The SISO system with transfer function
\[
\mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{U}(s)}=\frac{9}{(s+2)\left(s^{2}+4 s+13ight)}
\]
involves complex characteristic roots. Obtain the diagonal form of state space model. Also obtain an alternative block diagonal model which does not involve complex numbers.
Solution: Expand the transfer function in partial fractions to get
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (1 review)
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Systems Analysis And Design questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
7. Please allocate the following terms to the different dimensions Heart sounds, volume, magnetic field changes, pressure, length, extinction/absorption, area, temperature, potential, partial...
-
The flux of visible photons reaching Earth from the North Star is about 4 x 103 mm-2 S-I. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent of the surviving...
-
A jar contains 36 disks: 9 each of four colorsred, green, blue, and yellow. Each set of disks of the same color is numbered from 1 to 9. Suppose you draw one disk at random from the jar. Define...
-
1. Read the text materials on feedforward, concurrent, and feedback control. 2. Read the Control Problem Situation and be prepared to resolve those control problems in a group setting. 3. Your...
-
Hudson Company operates two factories. The company applies factory overhead to jobs on the basis of machine hours in Factory 1 and on the basis of direct labor hours in Factory 2. Estimated factory...
-
Change Janets Schedule In Question 5 Above, You Calculated What The Schedule Would Look Like If Janet Had Made One $285.05 Payment In January 2022. You Did It By Hand, But The Bankrate Calculator Has...
-
The SISO system with repeated characteristic roots is described by transfer function \[ \mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{U}(s)}=\frac{7 s^{3}}{(s+2)^{2}(s+6)^{2}} \] Find state space model...
-
Find diagonal state equations for a system with transfer function \[ \mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{R}(s)}=\frac{s^{3}+18 s^{2}+50 s+50}{(s+3)(s+4)(s+5)} \]
-
Why are budgeted overhead rates preferred to actual overhead rates?
-
Amanda leased equipment worth $40,000 for 7 years. If the cost of borrowing is 5.76% compounded monthly, calculate the size of the lease payment that is required to be made at the beginning of each...
-
Last year, California Sushi and Such (CSS) had sales of $65 million. The firm's operating expenses amounted to $20 million and costs of goods sold totaled $15 million. In addition, CSS received...
-
Assume the total cost of a college education will be $235,000 when your child enters college in 18 years. You presently have $35,000 to invest. What annual rate of interest must you earn on your...
-
Louis is 25 years old and has a dream of having $1,000,000 in his investment account by the time he turns 50. If he invests in a fund that returns 5% per year (and compounds daily), how much does he...
-
Question 1 One year from today, investors anticipate that Amazing Inc. stock will pay a dividend of $3.25 per share. After that, investors believe that the dividend will grow at 20% per year for...
-
The retained earnings account for Carlitos Inc. shows the following debits and credits. Indicate all entries required to correct the account. What is the corrected amount of retainedearnings?...
-
Read the case study Richter: Information Technology at Hungarys Largest Pharma and answer the following question: How does the organization ensure the accuracy of the data it stores?
-
Assume that we change the CreditCard class (see Code Fragment 1.5) so that instance variable balance has private visibility, but a new protected method is added, with signature...
-
Write a Java class that extends the Progression class so that each value in the progression is the absolute value of the difference between the previous two values. You should include a default...
-
Modify the advance method of the FibonacciProgression class so as to avoid use of any temporary variable.
-
Exercise 4. Company XYZ is evaluating the feasibility of manufacturing a new product. The plant it owns has the capacity to produce 1,000,000 units of the product. Fixed costs for this initiative...
-
8-7 After calculating the value of at interest rate i = .05, a student discovers that the value of Px is larger by .03 than the value used in the initial calculation. Find the amount by which the...
-
Assume thst when preparing a budget you must include 1 . 6 5 % of the base salary plus a fixed cost of $ 6 , 8 3 0 . 0 0 for fringe benefits. What would would be the total salary and benefits on a...
Study smarter with the SolutionInn App