Question: A second-order control system has the closed-loop transfer function T(s) = Y(s)/R(s). The system specifications for a step input follow: (1) Percent overshoot P.O.

A second-order control system has the closed-loop transfer function T(s) = Y(s)/R(s). The system specifications for a step input follow:
(1) Percent overshoot P.O. ≤ 5%.
(2) Settling time Ts < 4s.
(3) Peak time Tp < 1s.
Show the permissible area for the poles of T(s) in order to achieve the desired response. Use a 2% settling criterion to determine settling time.

Step by Step Solution

★★★★★

3.35 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The secondorder closedloop transfer function is given by From the percent overshoot specification ... 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)

835-C-S-S-A-D (1620).docx

120 KBs Word File

Students Have Also Explored These Related Systems Analysis And Design Questions!

Determine the closed-loop transfer function T(s) = Y(s)/R(s) for the system of Figure E2.23. ki R(s) Ys) FIGURE E2.23 Control system with three feedback loops.

A second-order system has the closed-loop transfer function (a) Determine the percent overshoot P.O., the time to peak Tp, and the settling time Ts of the unit step response, R(s) = 1/s. To compute...

A closed-loop transfer function is given by (a) Obtain the response of the closed-loop transfer function T(s) = Y(s)/R(s) to a unit step input. What is the settling time Ts (use a 2% criterion) and...

E 5 . 1 0 A second - order control system has the closed - loop transfer function T ( s ) = Y s R ( s ) . The system specifications for a step input follow: A . Percent overshoot P . O . 5 % . B ....

A linear model of the -subsystem of a grid-connected voltage-source converter with a Y-Y transformer (Mahmood, 2012) was presented in Problem 69, Chapter 8, and Problem 51, Chapter 10. The system was...

-----------I need answer f,g------------ Problem 1. Consider that a feedback system has the open-loop poles of -4,-1 j and no zeros (only K). (a) Sketch the root-locus of the system. (b) Find the...

A unity negative feedback control system has the plant transfer function given by: G p = 1 0 ( s + 3 ) ( s + 5 ) ( a ) Using the root locus method, design a proportional controller so that the system...

A manipulator control system has a loop transfer function of and negative unity feedback [15]. Represent this system by a state variable signal-flow graph or block diagram and a vector differential...

The objective of this project is to design a controller Ge(s) for a given plant with transfer function: G, (s) = s(s+5)(s+10) For this project, the plant is Rotor winder shown in figure. The...

Consider the system G(s) C(s) U(s) = 800 s + 18s 100 (1) Do the following: a) Sketch the Bode Plot of this system. Be sure to label the high-frequency and low- frequency asymptotes as well as any...

The qualified applicant pool for six management trainee positions consists of seven women and five men. (a) How many different groups of applicants can be selected for the positions? (b) How many...

Problem 5.4 (10 points) For the simple symmetric random walk (S)n-0,1.2. with So 0 com- pute (a) P[T 0 : S. = 6}; (b) E[M3], where M3 = max;-0.3 Si.

Should profit centers be evaluated on gross profit or full cost profit?

Coleman (1964) interviewed 3398 schoolboys and asked them about their selfperceived membership in the leading crowd. Their response was either yes, they were a member, or no, they were not. The same...

I have two very different stories regarding data models. First, when I worked with First American Corporation, the head of Marketing kept a data model for the marketing systems hanging on a wall in...

A large direct health and insurance medical provider needed an enterprise information management (EIM) system to enable enterprise wide information management and to support the effective use of data...

Provide three different options that are available for selecting an identifier for a student entity. What are the pros and cons of each option?

A project that provides annual cash flows of $15,700 for 9 years costs $86,932 today. If the required return is 15 percent, the NPV for the project is $ and you would reject the project. At a...

Use the following corn futures quotes: Suppose you sell 18 of the May corn futures at the high price of the day. You close your position later when the price is 467.625. Ignoring commission, what is...

Rewrite the following two statements using the structure pointer operator: (*rptr).windSpeed = 50; *(*strPtr).num = 10;