A process consisting of two CSTR's in series is reasonably well modeled by the following transfer...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A process consisting of two CSTR's in series is reasonably well modeled by the following transfer function model: y(s) = 1.5 (12s + 1)(5s + 1) ¹(s) The time constants are in minutes, and the valve and sensor dynamics may be considered negligible. a) Show that under proportional feedback control in continuous time, the closed loop system is always stable, for all values of proportional controller gain K. positive. b) Under digital proportional feedback control, incorporating a ZOH, find the range of Ke values for which the closed-loop system will remain stable if the sample time T= 1 min. Use Simulink to check your result. c) Repeat part (b) for 7= 5 min. d) Comment on the effect of sampling time on the range of K, values required for closed loop stability. A process consisting of two CSTR's in series is reasonably well modeled by the following transfer function model: y(s) = 1.5 (12s + 1)(5s + 1) ¹(s) The time constants are in minutes, and the valve and sensor dynamics may be considered negligible. a) Show that under proportional feedback control in continuous time, the closed loop system is always stable, for all values of proportional controller gain K. positive. b) Under digital proportional feedback control, incorporating a ZOH, find the range of Ke values for which the closed-loop system will remain stable if the sample time T= 1 min. Use Simulink to check your result. c) Repeat part (b) for 7= 5 min. d) Comment on the effect of sampling time on the range of K, values required for closed loop stability.
Expert Answer:
Related Book For
Introduction to Statistical Quality Control
ISBN: 978-1118146811
7th edition
Authors: Douglas C Montgomery
Posted Date:
Students also viewed these chemical engineering questions
-
A process is described by the following transfer function Thus, it exhibits characteristics of both first-order and integrating processes. How could you utilize a step change in the input of...
-
A heat transfer process has the following transfer function between a temperature T and an inlet flow rate q where the time constants have units of minutes: If the flow rate varies sinusoidally with...
-
A system undergoes a process consisting of the following two steps: Step 1: The system absorbs 72 J of heat while 35 J of work is done on it. Step 2: The system absorbs 35 J of heat while performing...
-
A Classifier is initialized with a list of values separated by increasing numbers, serving as the "boundaries" of the keys. I need hep with a Classifier class that will allow us to have "key-value...
-
What role does a bank reconciliation play in internal control over cash?
-
On five-cycle semi-logarithmic paper, plot the grain-size distribution curves from the following mechanical analysis data on six soils, A through F. For each soil determine the effective size as well...
-
Why do you think the atria of the heart are less muscular than the ventricles? Why is the left ventricle more muscular than the right ventricle?
-
Best has decided to increase its facilities by adding one sub-facility. Doing this, however, will reduce the overall system efficiency to 78 percent. Compute the new rated capacity under this...
-
From the following given information, calculate cost per equivalent unit for Overhead by using Weighted - Average method. work in process, May 1 cost added during May Materials Labor Overhead $18,000...
-
Your investment bank has an investment of $100 million in the stock of the Swiss Roll Corporation and a short position in the stock of the Frankfurter Sausage Company. Here is the recent price...
-
Which of the following statements about building interest in persuasive messages is most accurate? a. In a persuasive message, the section that builds interest should be no longer than one paragraph....
-
A company's 5-year bonds are yielding 7.75% per year. The real risk-free rate (r*) is 2.3%. The average inflation premium is 2.5%; and the maturity risk premium is estimated to be 0.1 (t 1)%, where...
-
Lattimer co. Sales 15000 units at 12 180000 Variable Mfg. cost 97500 Fixed mfg. cost 21000 selling and adm exp. 36000 154500- operating income 25,500 A foreign co whose sales will not affect lattimer...
-
A bank pays 6% interest per year, compounded quarterly. To what amount will a $5000 deposit grow if left in that bank for 10 years?
-
Define Managerial Accounting and explain the difference between Financial and Managerial Accounting.
-
Provide 3 variations of each of the 5 stock phrases (ie 15 new phrases in total) that you could potentially use 1. You are 2. It sounds like 3. It seems like 4. What I am hearing is 5. You seem to be...
-
Based on the table below, calculate Operating Profit Margin Current Assets Total Assets Operating Profit Debt Net Income Inventory Cost of Goods Sold Sales Current Liabilities Total Equity Total...
-
Classify each of the following as direct costs or indirect costs of operating the Pediatrics ward for children at the Cleveland Clinic: a. Wi-Fi covering the entire hospital campus b. Net cost of...
-
and R charts with n = 4 are used to monitor a normally distributed quality characteristic. The control chart parameters are Both charts exhibit control. What is the probability that a shift in the...
-
Consider the variance of observations that are m periods apart; that is, Vm = V(yt+m yt). A graph of Vm/V1 versus m is called a variogram. It is a nice way to check a data series for nonstationary...
-
A molding process uses a five-cavity mold for a part used in an automotive assembly. The wall thickness of the part is the critical quality characteristic. It has been suggested to use X and R charts...
-
Why has subordinate legislation come to prominence?
-
What are the advantages of a settlement over a court trial?
-
Define appellant ; respondent ; counterclaim ; counsel ; bench ; writ ; settlement ; pleadings ; party and party costs ; res judicata .
Study smarter with the SolutionInn App