Problem 4: The two compensator circuits (Fig. P4a) are used to improve the closed-loop system performance:...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Problem 4: The two compensator circuits (Fig. P4a) are used to improve the closed-loop system performance: 1) Derive the transfer functions to characterize the two circuits, and show that they can be written respectively in the following forms: G(s) = (s)_r(1+T,s) 1+TS V,(s) 1+rTs V(s) 1+(T/r)s 5 G(s)=(s) Runy d Circuit 1 R(s) V0 Express r, T and T in terms of resistances and capacitances. Compare the locations of their poles and zeros on the s-plane. 2) Consider the closed-loop system in Fig. P4(b) where 10 Ge(s) G(s)=K_S+2 and G(s)=- s+p s(s+a) Fig. P4(b) Closed-loop system a) With the reference r(t)=0, a=2, find the steady-state error e(tx) when the disturbance d(t) is a unit step. State the conditions (the range of K, and p) for the steady-state solution to be valid. Use MATLAB to plot the response (t) to the unit step disturbance d(t) (assuming K-2, p=5). E(s) Circuit 2 D(s) Fig. P4(a) V(s) G(s) 0 (s) b) It is impossible to derive the model of the actual system precisely. Assume a change in the range [1.5, 3]. With the disturbance d(t)=0, K-2, p=5, use MATLAB to analyze the effect of a to the response 8(t) under the input of unit step reference r(t). Problem 4: The two compensator circuits (Fig. P4a) are used to improve the closed-loop system performance: 1) Derive the transfer functions to characterize the two circuits, and show that they can be written respectively in the following forms: G(s) = (s)_r(1+T,s) 1+TS V,(s) 1+rTs V(s) 1+(T/r)s 5 G(s)=(s) Runy d Circuit 1 R(s) V0 Express r, T and T in terms of resistances and capacitances. Compare the locations of their poles and zeros on the s-plane. 2) Consider the closed-loop system in Fig. P4(b) where 10 Ge(s) G(s)=K_S+2 and G(s)=- s+p s(s+a) Fig. P4(b) Closed-loop system a) With the reference r(t)=0, a=2, find the steady-state error e(tx) when the disturbance d(t) is a unit step. State the conditions (the range of K, and p) for the steady-state solution to be valid. Use MATLAB to plot the response (t) to the unit step disturbance d(t) (assuming K-2, p=5). E(s) Circuit 2 D(s) Fig. P4(a) V(s) G(s) 0 (s) b) It is impossible to derive the model of the actual system precisely. Assume a change in the range [1.5, 3]. With the disturbance d(t)=0, K-2, p=5, use MATLAB to analyze the effect of a to the response 8(t) under the input of unit step reference r(t).
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
The following is the preclosing trial balance for Allen University as of June 30, 2023. Additional information related to net assets and the statement of cash flows is also provided. ALLEN UNIVERSITY...
-
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...
-
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...
-
In Pissarides's view of labor markets (job matching model), the focus is on finding a good ________. a. level of TFP (A) b. supply of money (M). c. match d. Wage
-
What is the minimal speed of the server in an M/G/1 system in order that the expected time of a busy period does not exceed the number T? (When the service speed becomes t, the service time of the...
-
Dominion Consulting has issued a report recommending changes for its newest manufacturing client, Gibson Engine Works. Gibson currently manufactures a single product, which is sold and distributed...
-
Refer to Exhibit 7.13 and complete the segment return on assets table for Wolfe Company. Analyze your findings and identify the segment with the highest, and that with the lowest, segment return on...
-
Many studies on rats and mice have established that charred meat grilled over hot coals causes cancer. Since the government cannot easily regulate home cooking methods, an alternative method has been...
-
Question 12 of 12 < The intangible assets section of Novak Company at December 31, 2022, is presented here. Patents ($66,000 cost less $6.600 amortization) $59,400 Franchises ($53,500 cost less...
-
European Styles, Inc. manufactures womens blouses of one quality, which are produced in lots to fill each special order. Its customers are department stores in various cities. European Styles sews...
-
Accomplishing the conservative goal of growth in sports requires _____. Multiple choice question. the elimination of discrimination from the policies and programs of sports organizations changes that...
-
What are the effects of feed back control.
-
What are SE design and development rules for analytical decision making?
-
A second order measurement system has an effective mass of \(60 \mathrm{~g}\) and the spring constant \(2.25 \mathrm{kN} / \mathrm{m}\). Calculate the steady state error and the time lag for damping...
-
Write the transfer function of first and second order systems.
-
A second order measurement system has effective mass of \(25 \mathrm{~g}\), spring constant \(2500 \mathrm{~N} / \mathrm{m}\) and damping factor 0.6. Determine the rise time and settling time for a...
-
In October, Grouper Inc. reports 42,700 actual direct labor hours and incurs $208,000 of manufacturing overhead costs. Standard hours allowed for the month's production is 42,000 hours. Grouper's...
-
From 1970 to 1990, Sri Lanka's population grew by approximately 2.2 million persons every five years. The population in 1970 was 12.2 million people.What is the best formula for P, Sri Lanka's...
-
The 'balanced scorecard' approach aims to provide information to management to assist strategic policy formulation and achievement. It emphasizes the need to provide the user with a set of...
-
The managing director of your company believes that the existing annual budget system is costly to operate and produces unsatisfactory results due to: long preparation period; business decisions...
-
A company manufactures a single product with the following variable costs per unit: Direct materials ...............................7.00 Direct labour ....................................5.50...
-
Finch & Co. is a six-partner firm of chartered accountants, with an office in the small town of Bulhampton. Since the firm was founded in 1950, it has provided audit, tax and accountancy services to...
-
Name the various components of a measurement system.
-
Kemico Ltd manufactures a variety of chemicals which it supplies in bulk to industrial customers. Its factory at Gritborough employs 50 people, and its annual turnover in 1995 was 7.5M. During 1995,...
Study smarter with the SolutionInn App