Question: The plant transfer function for a particular process is G p (s) = 8 s / s 2 + 2s + 3. We wish

The plant transfer function for a particular process is G _p (s) = 8 – s / s² + 2s + 3. We wish to investigate the use of proportional control action with this plant.

a. Obtain the root locus and determine the range of values of the proportional gain Kp for which the system is stable.

b. Determine the value of Kp required to give a time constant of t = 2/3.

c. Plot the unit step response of the plant for K_P = I. A process containing a negative sign in the numerator of its transfer function is called a "reverse reaction" process. What is the effect of the negative sign in the numerator of G_p(s)?

Step by Step Solution

★★★★★

3.42 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The closedloop transfer function is The root locus equation is where K KP 0 The poles are s 1 1414... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

755-C-D-S-D (643).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!

A unity feedback control system has the plant transfer function Design a PID controller of the form so that the closed-loop system has a settling time less than 1 second to a unit step input. G(s)...

The plant transfer function for the angular displacement ( of an inertia / subjected to a control torque T is (see Figure PI 2.8a) Gp (s) = ( (s) / T (s) = 1 / Is2 Suppose that I = 5 and that the...

The plant transfer function of the system in Figure P11.26 for a specific case is Gp (s) = 8 / (2s + 2) (s + 2) (4s + 12) a. Use the ultimate cycle method to compute the PID gains. b. Plot the...

The plant transfer function for a particular process is G p ( s ) = 8 - s s 2 + 2 s + 3 We wish to investigate the use of proportional control action with this plant. a . Obtain the root locus and...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Requirement 1: ''As Is'' Process Map Using standard process mapping symbols and referring to the example process map presented in Appendix A, draw a process map for Elizor's raw materials purchasing...

Refer to the article in theassignment folder and answer the following question: In their evaluation of the IAS 15Standard titled ?Revenue from Contracts with Customers?, Bioni et al (2012)made the...

Part:1 Discuss how Copeland has competed on productivity. Discuss how Copeland has competed on new products and processes. 36. Copeland Corporation: Evolution of a Manufacturing Strategy, 1975-1982...

Question: Discuss which stage of manufacturing that Copeland currently is in, as described in reading #37. " stages of manufacturing" "Copeland Case" EXHIBIT 1 Stages in Manufacturing's Strategic...

Frankie purchased a new house in April of 2022. Under the terms of her employment, she received a $250,000 housing loan on April 1st at a stated interest rate of 1%. She pays interest on the loan...

Which of the following items are required to be presented on an IFRS statement of net income? Item Cost of Goods Solod General and Administrative Expenses Sales Net Profit Interest Expense Gross...

adjust, maximum cpp monthly payments for 2025 are $1433 and maximum OAS at 65 is $727.67

Standard compensation, additional to direct wages, formally given to all employees is also known as ________________. A. Rewarding authority B. Fringe benefits C. Perquisites D. Recognition and...

A bucket of mass m and volume V is attached to a light cart, completely covering its top surface. The cart is given a quick push along a straight, horizontal, smooth road. It is raining, so as the...

A 75.0-kg firefighter slides down a pole while a constant friction force of 300 N retards her motion. A horizontal 20.0-kg platform is supported by a spring at the bottom of the pole to cushion the...

George of the Jungle, with mass m, swings on a light vine hanging from a stationary tree branch. A second vine of equal length hangs from the same point, and a gorilla of larger mass M swings in the...

The Absolute Zero Co. just issued a dividend of $3.30 per share on its common stock. The company is expected to maintain a constant 6.8 percent growth rate in its dividends indefinitely. If the stock...

Comparison to industry and company over time suggest break out?

Diner Bank offers you a five-year loan for $69,000 at an annual interest rate of 8.5 percent. What will your annual loan payment be? (Do not round intermediate calculations and round your final...