Question: Consider the unity feedback system in Figure P9.1, with The system is operated with 4.32% overshoot. In order to improve the steady-state error, K p

Consider the unity feedback system in Figure P9.1, with

K G(s) = (s +2)(s+ 4)

The system is operated with 4.32% overshoot. In order to improve the steady-state error, K_p is to be increased by at least a factor of 5. A lag compensator of the form

is to be used.

a. Find the gain required for both the compensated and the uncompensated systems.

b. Find the value of K_p for both the compensated and the uncompensated systems.

c. Estimate the percent overshoot and settling time for both the compensated and the uncompensated systems.

d. Discuss the validity of the second-order approximation used for your results in Part c.

e. Use MATLAB or any other computer program to simulate the step response for the uncompensated and compensated systems. What do you notice about the compensated system’s response?

f. Design a lead compensator that will correct the objection you notice in Part e.

K G(s) = (s +2)(s+ 4)

Step by Step Solution

★★★★★

3.30 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Control Systems Engineering Questions!

Consider the unity feedback system in Figure E7.27. Sketch the root locus as 0 ¤ p Figure E7.27 Unity feedback system with parameter p. Controller Process 10 - 4 Y(s) Rts)

Consider the non unity feedback system in Figure E8.14, where the controller gain is K = 2. Sketch the Bode plot of the loop transfer function. Determine the phase of the loop transfer function when...

Which of the following can possibly be part of the informal information search process for organizational buyers? a. site visits to evaluate a potential vendor b. laboratory test of a new product or...

Given the uncompensated unity feedback system of Figure P9.1, with do the following: a. Design a compensator to yield the following specifications: settling time = 2.86 seconds; percent overshoot =...

Consider the unity feedback system of Figure P11.1 with The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K v = 10. Do the following: a. Use frequency response...

Given the unity feedback system of Figure P9.1 with Find the transfer function of a lag-lead compensator that will yield a settling time 0.5 second shorter than that of the uncompensated system. The...

Given the unity feedback system of Figure P 9 . 1 with G ( s ) = K ( s + 2 ) ( s + 4 ) ( s + 6 ) ( s + 8 ) Find the transfer function of a lag - lead compensator that will yield a settling time 0 . 5...

For the unity feedback system of Figure P 9 . 1 , with G ( s ) = K ( s 2 + 2 0 s + 1 0 1 ) ( s + 2 0 ) the damping ratio for the dominant poles is to be 0 . 4 , and the settling time is to be 0 . 5...

Figure 1 A block diagram for Problem 1 and 2 Consider the unity feedback system with \ ( G ( s ) = \ frac { K } { ( s + 2 ) ( s + 4 ) } \ ) . The system is operated with \ ( 4 . 3 2 \ % \ )...

Consider the unity feedback system with \ ( G ( s ) = \ frac { K } { ( s + 2 ) ( s + 4 ) } \ ) . The system is operated with \ ( 4 . 3 2 \ % \ ) overshoot. In order to improve the steady - state...

Firms in the same industry offering the same end-product may offer different value propositions. For instance, consumers can obtain an airline ticket directly from the airline, a travel agent, or a...

A Hamming C(6,3) linear code has the following error checking bits: b4 = b1 + 62 b5 = b1 + b3 b6 = b2 + b3 a) Find all codewords for this scheme. Assume codeword bits are organized as...

a ) Using a J - K flip - flop design a synchronous counter which will detect the input sequence OIOI. The sequence may overlap as shown below: Your solution should provide following: state diagram,...

1. A multivariate linear regression model has been built to predict the heating load in a residential building based on a set of descriptive features describing the characteristics of the building....

A car is alone at a red light. When the light turns green, it starts off at constant acceleration. After traveling 100. m, it is traveling at 15. m/s. What is its acceleration? Use the v-t diagram...

A car is alone at a red light. When the light turns green, it starts off at constant acceleration. After traveling exactly one-eighth of a mile, it is traveling at 30. mph. What is its acceleration...

A car starts from a stop at a traffic light and accelerates at a rate of 4.0 m/s 2 . Immediately on reaching a speed of 32. m/s, the driver sees that the next light ahead is red and instantly applies...

Wk 4: Plan Review Write a 700-to 1,050-word response to the former employee's plan. For each of the items in the first column of the table: . Identify the employee's plan. Discuss whether you think...

6- The price $p and demand x for a product are related by 3x2 + 2xp + 25p3 = 300,000. Find the rate of change of price with respect to demand. a) 75p+22 63+2p 75p? +22 31+P 63 +2p 75p2 +21 63+2p 75p...

Banks sometimes quote interest rates in the form of "add-on interest." In this case, if a 1-year loan is quoted with a 20% interest rate and you borrow $1,000, then you pay back $1,200. But you make...