1. Calculate the following by hand or with a calculator a. The roots of P =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Calculate the following by hand or with a calculator a. The roots of P₁ = s4 +95³ +33s² + 59s +42 b. The roots of P₂ = s +85³ +24s² + 37s + 20 c. Determine the polynomials P3 P₁ + P₂: P₁ = P₁-P₁ P₁ = P₁ x P₂ d. Evaluate P₁ and P2 when s = 2. 2. Calculate by hand or with a calculator the polynomial P = (s+7) (s+8)(s + 3) (s+5)(s +9) (s + 10) 3. Calculate by hand or with a calculate the following transfer functions: 20(s+2)(5+3)(5+6) a. G₁(S) = s(s+7)(5+9) (s+10) represented as a numerator polynomial divided by a denominator polynomial. $³+10s²+29s+20 b. G₂(s); 5*+75³ +225² +30s expressed as factors in the numerator divided by factors in the denominator, similar to the form of G₁(s) in Pre-work 3a. c. G3(S) = G₁ (s) + G₂(S); G₁ (S) = G₁ (s) G₂ (s); G5(S) = G₁ (s) G₂ (s) expressed as factors divided by factors and expressed as polynomials divided by polynomials. 4. Obtain the state-space representation of the system described by the transfer function T(s) in phase-variable form. where: A = [29], s+2 s3 +35² +4s +1 T(s): 5. Determine the transfer function of the system described by the state-space representation shown below. Show your calculations clearly. X = AX + Bu Y = CX + Du B = = [₁], C= [01], D = 0 1. Use MATLAB to solve Pre-work Problem 1. 2. Use MATLAB to solve Pre-work Problem 2 using a single MATLAB command. 3. Use MATLAB to solve Pre-work Problem 3. Also, use various combinations of G₁ (s) and G₂ (s) to find G3 (S), G4 (S) and G5(s). Various combinations imply mixing and matching G₁ (s) and G₂ (s) expressed as factors and polynomials. For example, in finding G3 (s) G₁ (s) can be expressed in factored form and G₂ (s) can be expressed in polynomial form. 4. Use MATLAB to solve Pre-work Problem 4. Make sure that the solution is in the phase variable form. 5. Use MATLAB to solve Pre-work Problem 5. 1. Calculate the following by hand or with a calculator a. The roots of P₁ = s4 +95³ +33s² + 59s +42 b. The roots of P₂ = s +85³ +24s² + 37s + 20 c. Determine the polynomials P3 P₁ + P₂: P₁ = P₁-P₁ P₁ = P₁ x P₂ d. Evaluate P₁ and P2 when s = 2. 2. Calculate by hand or with a calculator the polynomial P = (s+7) (s+8)(s + 3) (s+5)(s +9) (s + 10) 3. Calculate by hand or with a calculate the following transfer functions: 20(s+2)(5+3)(5+6) a. G₁(S) = s(s+7)(5+9) (s+10) represented as a numerator polynomial divided by a denominator polynomial. $³+10s²+29s+20 b. G₂(s); 5*+75³ +225² +30s expressed as factors in the numerator divided by factors in the denominator, similar to the form of G₁(s) in Pre-work 3a. c. G3(S) = G₁ (s) + G₂(S); G₁ (S) = G₁ (s) G₂ (s); G5(S) = G₁ (s) G₂ (s) expressed as factors divided by factors and expressed as polynomials divided by polynomials. 4. Obtain the state-space representation of the system described by the transfer function T(s) in phase-variable form. where: A = [29], s+2 s3 +35² +4s +1 T(s): 5. Determine the transfer function of the system described by the state-space representation shown below. Show your calculations clearly. X = AX + Bu Y = CX + Du B = = [₁], C= [01], D = 0 1. Use MATLAB to solve Pre-work Problem 1. 2. Use MATLAB to solve Pre-work Problem 2 using a single MATLAB command. 3. Use MATLAB to solve Pre-work Problem 3. Also, use various combinations of G₁ (s) and G₂ (s) to find G3 (S), G4 (S) and G5(s). Various combinations imply mixing and matching G₁ (s) and G₂ (s) expressed as factors and polynomials. For example, in finding G3 (s) G₁ (s) can be expressed in factored form and G₂ (s) can be expressed in polynomial form. 4. Use MATLAB to solve Pre-work Problem 4. Make sure that the solution is in the phase variable form. 5. Use MATLAB to solve Pre-work Problem 5.
Expert Answer:
Answer rating: 100% (QA)
clc clear all 1a and 1b P11 9 33 59 42 Polynomial 1 P21 8 24 37 20 Polynomial 2 r1root... View the full answer
Related Book For
Vector Mechanics For Engineers Statics And Dynamics
ISBN: 9781259977206
12th Edition
Authors: Phillip J Cornwell, E Russell Jr Johnston, David Mazurek, E Russell Johnston Jr, Ferdinand P Beer, Brian
Posted Date:
Students also viewed these databases questions
-
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...
-
Before a change occurs, it is important that change agents form a compelling "picture" of what the future after the change will look like. This picture should motivate employees and keep the change...
-
Calculate the current and quick ratio at the end of eachyear.Note: Round your answers to 1 decimal place.b. Assuming a 365-day year for all calculations, compute thefollowing:i. The collection pe...
-
What kind of charging occurs during thunderstorms?
-
Water flows in a clean and straight natural channel of rectangular cross section with a bottom width of 0.75 m and a bottom slope angle of 0.68. If the flow depth is 0.15 m, the flow rate of water...
-
Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in Fig. P5.122. The velocity and pressure upstream are uniform at \(10 \mathrm{~m} / \mathrm{s}\) and \(50...
-
Jordan Sales Company (organized as a corporation on April 1, 2014) has completed the accounting cycle for the second year, ended March 31, 2016. Jordan also has completed a correct trial balance as...
-
Please follow the link and read the canvas project. Based on the reading, please answer the following questions . Link for the Startup Analysis Canvas Project:...
-
Assume that we run the following algorithm on an array A with n integer elements: for i=1 to n-1 for j=0 to n-i-1 if (A[j] > A[j+1]) swap A[j] and A[j+1] a) If the input is: A[0] =n: A[1]= n-1: ... :...
-
2008 Global Financial Crisis commercial and investment banking - do you think there are lessons that have been learned and applied in the financial industry today to prevent a similar crisis? Or do...
-
You have come to work at Brna banka and have 2 companies under consideration, on the one hand Stl og Hnfur ehf and on the other hand Haus og Hali ehf. Stl og Nnfur has an expected return on the...
-
Poor agricultural practices a. Outline the major problems being faced by a country suffering from ONE of these situations. b. What tangible suggestions could you offer that curb/ reduce the problem...
-
As a CEO of a company, how will you positively argue to the board members that team incentives maximize team performance and help to reduce social loafing in groups? Provide reasonable...
-
Simplify: 36y10
-
McCoy's Fish House purchases a tract of land and an existing building for $920,000. The company plans to remove the old building and construct a new restaurant on the site. In addition to the...
-
Nitrogen monoxide reacts with hydrogen as follows: 2NO(g)+ H2(g) N2O(g) + H2O(g) The rate law is [H2]/ t = k[NO]2[H2], where k is 1.10 107 L2/(mol2s) at 826oC. A vessel contains NO and H2 at...
-
The semicircular rod ABCD is maintained in equilibrium by the small wheel at D and the rollers at B and C. Knowing that = 45, determine the reactions at B, C, and D. P 45 45
-
A projectile enters a resisting medium at x = 0 with an initial velocity v 0 = 1000 ft/s and travels 3 in. before coming to rest. Assuming that the velocity of the projectile is defined by the...
-
Determine the reactions at A and E when = 0. 500 N 200 mm 200 mm B OA D 150 mm C 30 E 200 mm
-
Individually identify what you consider to be the greatest achievements accomplished by human kind in the last decade. Now share your list with other students in the class and come up with an...
-
What are the differences between a framework, a methodology and a standard?
-
What are the PMI and PRINCE2?
Study smarter with the SolutionInn App