Question: A unity feedback system has the loop transfer function (a) Determine the step response when G c (s) = 1, and calculate the settling time

A unity feedback system has the loop transfer function L(s) = Ge(s)G(s) 5 s(s + 5s + 12) Ge(s)

(a) Determine the step response when G_c(s) = 1, and calculate the settling time and steady state for a ramp input r(t) = t, > 0.

(b) Design a phase-lag compensator using the root locus method so that the velocity constant is increased to 10. Determine the settling time (with a 2% criterion) of the compensated system.

L(s) = Ge(s)G(s) 5 s(s + 5s + 12) Ge(s)

Step by Step Solution

★★★★★

3.27 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The ramp response with G c s 1 is shown in F... 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

Students Have Also Explored These Related Modern Control Systems Questions!

A unity feedback system has the loop transfer function (a) Determine the breakaway and entry points of the root locus and sketch the root locus for K > 0. (b) Determine the gain K when the two...

A unity feedback system has the loop transfer function (a) Determine the phase margin of the system when K = 0.16. (b) Use the phase margin to estimate £ and predict the overshoot, (c)...

A unity feedback system has the loop transfer function where T is a time delay and K is the controller proportional gain. The block diagram is illustrated in Figure P10.35. The nominal value of K =2....

A negative unity feedback system has the loop transfer functions as G ( s ) = 1 0 s ( s + 1 0 ) With a 2 % criterion, the settling time for the unit step closed loop response, is a . , t s = 0 . 0 2...

A unity feedback system has the loop transfer function L ( s ) = G c ( s ) G ( s ) = G c ( s ) 5 s ( s 2 + 5 s + 1 2 ) a . Determine the step response when G c ( s ) = 1 , and calculate the settling...

4. For a unity feedback system with the loop transfer function K L(s) = s(s+a) Find K and a to yield a 1% steady state error and a 10% overshoot in the closed loop response. (Refer to MEM255 for...

The unit step response of a unity feedback system with open loop transfer function $G(s)=\frac{K}{(s+1)(s+2)}$ is shown in the figure below. The value of $K$, is (a) 0.5 (b) 2 (c) 4 (d) 6 y(1) 1...

10 Q1. (40 pts, 20 pts each) For a unity feedback system with a forward transfer function K G(s) = s(s + 20)(s + 40) (1) Use the root-locus method and an appropriate compensator to yield a closed-...

rg = 3 / / b 1 = 0 . 6 5 / / b 2 = 0 . 3 7 1 / / J = 0 . 7 / / R = 2 6 0 / / M = 4 0 / / Ja = 0 . 3 5 / / Da = 0 . 1 8 5 / / K 1 = 1 3 / / K 2 = 8 . 6 6 ( ( I just want to solveMATLAB, nothing else )...

Q2. (40 pts, 20 pts each) For a unity feedback system with a forward transfer function K(s + 5) G(s) = (s + 2)(s + 6)(s + 10) (1) Use the frequency-response method and a lead compensator to yield a...

What is the purpose of systems analysis?

Benson Electronics manufactures three components used to produce cell telephones and other communication devices. In a given production period, demand for the three components may exceed Bensons...

A company has bonds outstanding with a par value of $ 1 0 0 , 0 0 0 . The unamortized discount on these bonds is $ 5 , 1 0 0 . Th Multiple Choice $ 9 , 0 0 0 loss. $ 3 , 9 0 0 loss. $ 0 gain or loss....

Define descriptive statistics and inferential statistics

Consider a system represented by the following differential equations: where R, L1, L2 and C are given constants, and va and vb are inputs. Let the state variables be defined as x1 = i1, x2 = i2, and...

A single-input, single-output system has the matrix equations and y = [10 0]x. Determine the transfer function G(s) = Y(s)/U(s). 0 -3 4

A robot-arm drive system for one joint can be represented by the differential equation [8] where v(t) = velocity, y(t) = position, and i(t) is the control-motor current. Put the equations in state...

Rare Agri - Products Ltd . is considering a new project with a projected life of seven ( 7 ) years. The project falls under the government s subsidy program for encouraging local agricultural...

Question 1 (1 point) Semistrong form efficiency implies: a) All historical market information, including prices and volume, is included in the price. b) All information, both public and private is...

Alan Moore is 70 years old and is planning for his retirement. He has accumulated portfolio investments of $200,000. They are yielding 8% interest. Mr. Moore also has $15,000 in bank (savings...