The continuous time system with OLTF A s + Bs + C can be converted to...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The continuous time system with OLTF A s² + Bs + C can be converted to discrete time G[q] using the code nn= dd= [num,den]= G(s): A; [1 B C]; c2dm(nn,dd,T,'zoh'); = % continuous-time system dynamics % discrete-time system dynamics 1. A continuous system with damping ratio and undamped frequency w, is being sampled at fs. a. Express the forward gain K, 3, and w, in terms of a, b, and c b. Determine the poles of G(s) c. Using the s→q transformation, derive the formula for G [q] algebraically. d. Assign values to A, B, and C, so that 0.5 ≤ ≤ 0.8 and 3 ≤ w ≤ 5. e. Assign a value to 5 ≤ f ≤ 10. Use Matlab to verify your answer to Question I.b 2. Using the values in Question I, a. Express G[q] in polar coordinates. b. Determine the poles of G[q]. c. Compare the poles of G (s) and G[q]. Comment if the CT2DT analogy is correct. 3. Use Matlab to plot, in the q-plane a. The constant, and w, line b. The poles of G[q] c. Change fs, 5, and w, and comment how the poles change on the plot. 4. In Matlab, obtain the unit pulse response of the discrete system. Plot a. The unit pulse response b. The autocorrelation of the response c. The cross-correlation of the input and the response d. The Power Spectrum of the response e. Use the Blackman-Tuckey weighing function to estimate the response. 5. Write your report in IMRAD format. You will be graded on a. The completeness of the mathematical expressions; b. Your communication skills (clarity, organization, objectivity, completeness, etc.), and c. Your orthographic qualities (punctuation, spelling, grammar). The continuous time system with OLTF A s² + Bs + C can be converted to discrete time G[q] using the code nn= dd= [num,den]= G(s): A; [1 B C]; c2dm(nn,dd,T,'zoh'); = % continuous-time system dynamics % discrete-time system dynamics 1. A continuous system with damping ratio and undamped frequency w, is being sampled at fs. a. Express the forward gain K, 3, and w, in terms of a, b, and c b. Determine the poles of G(s) c. Using the s→q transformation, derive the formula for G [q] algebraically. d. Assign values to A, B, and C, so that 0.5 ≤ ≤ 0.8 and 3 ≤ w ≤ 5. e. Assign a value to 5 ≤ f ≤ 10. Use Matlab to verify your answer to Question I.b 2. Using the values in Question I, a. Express G[q] in polar coordinates. b. Determine the poles of G[q]. c. Compare the poles of G (s) and G[q]. Comment if the CT2DT analogy is correct. 3. Use Matlab to plot, in the q-plane a. The constant, and w, line b. The poles of G[q] c. Change fs, 5, and w, and comment how the poles change on the plot. 4. In Matlab, obtain the unit pulse response of the discrete system. Plot a. The unit pulse response b. The autocorrelation of the response c. The cross-correlation of the input and the response d. The Power Spectrum of the response e. Use the Blackman-Tuckey weighing function to estimate the response. 5. Write your report in IMRAD format. You will be graded on a. The completeness of the mathematical expressions; b. Your communication skills (clarity, organization, objectivity, completeness, etc.), and c. Your orthographic qualities (punctuation, spelling, grammar).
Expert Answer:
Answer rating: 100% (QA)
To solve this problem we need to follow the given steps and use the provided MATLAB code and ... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Multiple Choice Question 1. Sales discounts with terms 2/10, n/30 mean: a. 10 percent discount for payment within 30 days. b. 2 percent discount for payment within 10 days, or the full amount (less...
-
Which of the following is NOT a step in problem-solution presentation? Multiple choice question. Prepare sales presentation based on analysis and proposal Prepare proposal for the problem Making the...
-
Anon Amus Inc. operates a woodworking shop that makes tables and chairs. He has 25 employees working 40 hours per week and he has 750 hours per week available in machine time. Ralph knows that he...
-
Find the approximate mass of the luminous matter in the Milky Way galaxy, given it has approximately 1011 stars of average mass 1.5 times that of our Sun?
-
A capacitor of capacitance 158F and an inductor form an LC circuit that oscillates at 8.15 kHz, with current amplitude of 4.21 mA. What are? (a) The inductance, (b) The total energy in the circuit,...
-
Discuss the use of roller bearings.
-
The following events apply to Brown and Birgin, a public accounting firm, for the 2013 accounting period: 1. Performed $96,000 of services for clients on account. 2. Performed $65,000 of services for...
-
What steps should Eco Chic handbags take to implement an effective budgeting process?
-
1.Identify the three countries with the most favorable collection experience as measured by their receivables turnover ratios. RTR US = RTR Saudi Arabia = RTR UK = 2. Which country appears to have...
-
In Beauchamp s Methods and Principles of Biomedical Ethics , what is the example of the Jehovah s Witnesses intended to show?
-
What are the states roles in Medicare and Medicaid and some of the elements of the ACA
-
To request edited captions for the deal/HOH, see hit.... Practice Problem 2 - Basic Probability Boys Girls Total A. P(girl age 5) 5 432 408 840 B. P(any child 7 years old or younger) C. P(boy at...
-
Revenues $10,000 COGS Gross Profits $6,000 Operating Expenses $1,000 Operating Profit Interest $500 EBT Taxes (30%) Net Income what is the Net Profit?
-
How does strong internal operations facilitate good strategic planning and what happens if internal operations lack adequate information systems
-
A government is looking to evaluate the impact of a price information policy (PIP) that provides individuals with information on healthcare prices charged by all general practitioners (GP) within 10...
-
Prove the derivative of the trigo. function Dz(csc x) = - csc x cotx
-
r = 0.18 Find the coefficients of determination and non-determination and explain the meaning of each.
-
On January 1, 2011, TCU Utilities issued $1,000,000 in bonds that mature in 10 years. The bonds have a stated interest rate of 10 percent and pay interest on June 30 and December 31 each year. When...
-
Use the information concerning Ingersol Construction Supply Company provided in Alternate Problem 13-1 to fulfill the following requirements. Required: 1. Prepare the statement of cash flows using...
-
You have just won the state lottery and have two choices for collecting your winnings. You can collect $50,000 today or receive $10,100 per year for the next seven years. A financial analyst has told...
-
A runner is moving at a constant speed on level ground. Chemical energy in the runner's body is being transformed into other forms of energy. Most of the chemical energy is transformed into A....
-
A glassblower heats up a blob of glass in a furnace, increasing its temperature by \(1000^{\circ} \mathrm{C}\). By how many kelvins does its temperature increase?
-
Which of the following changes (there may be more than one) would increase the maximum theoretical efficiency of a heat engine? A. Increase T H B. Increase T c C. Decrease T H D. Decrease T c
Study smarter with the SolutionInn App