3. Given the following open-loop systemG(s) =12(s+2)s(s+7)(s+9)design a feedback controller u = -Kx where K =[K1 K2 K3] to yield a desiredcharacteristic equations3+42s2+225s + 630 = 0(a) Find K1, K2, and K3 using pole placement method.(b) With the designed controller u = -Kx, find the closed-loop system in state-space formulation(c) Find the transfer function of the closed-loop system with the design controlleru = -Kx

In this problem, we need to design a feedback controller using the pole placement method for the…

Answered: 3. Given the following open-loop system…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

An open loop system has four poles and a zero. How many branches will the gain response technique have?
An operational-amplifier circuit that may be used as a controller is shown in Figure Qla. (a) R4 ww R1 R3 e Co Figure Qla R1, R2, R3 and R4 are resistors and C1 and C2 are capacitors. Assume both op-amps are ideal and their input/output voltages are ei, e and eo, as shown in the Figure. Using the impedance approach: (i) obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and Eo(s)/E(s). (ii) hence obtain the complete transfer function for the system, i.e. Eo(s)/Ei(s). (iii) Determine D(s) = Eo(s)/E:(s) when R1 = R2 = R3 = R4 = 1 N and C1=1 F, C2= 2 F. %3D (b) Consider the closed-loop control system shown in Figure Qlb. 1 Σ K.D(s) (s +2) Figure Qlb K is the gain and D(s) is the transfer function obtained in part (a)-iii. (i) Plot open loop zeros and poles for the above system in the s-plane. [. Determine whether the point (-1+j) is a closed loop pole for any value of K, by considering the angle criterion at this point. (ii) (c) Briefly summarise the steps, which need to be…
A feedback system signal flow graph diagram shown in figure below. The number of the forward path is -H2 GA )s(ر مل G3 G7 R1(s)< -1-1 G8 G6 G2 R2(s).
(a) A unity feedback temperature control system has the following feedback controller structure as shown in Figure Find the value of K to yield temperature Steady State Error of 0.25. C(s) (s + 2) s2(s + 10)(s + 4) R(s) K Figure 2: Rotational System
Clock R1 R2 R3 Figure Q4(a)(i)
Problem 2 onsider the feedback system in Figure B2 C(s) G(s) Figure B2 where 1 C(s) = G(s) = (s+2)(s+3) and k is a positive gain. - Plot the root locus for this particular closed-loop system, and describe how the stability of the system and the transient responses are likely to vary for different ranges of the controller's gain k.
Consider the unity feedback control system in Figure where L(s)=Gc(s)G(s)=K(s)(s+4) For an underdamped response, the design specifications for a reference unit step inputs are: i. Peak time Tp=1.0 ii. Percent overshoot P.O.≤%10 Calculate the value ofKfor each design specification separately. Do not forget to make comments about the design parameters
Part 2: Simulink Model for Analysis of closed-loop control System a) The motor transfer function is shown in Figure 2(a) and studies the performance of the system using Simulink if the input is a unit step signal. Choose your group number as a value of K₁: i) R(s) Determine the poles and the zeros of the system and discuss its stability. Also, plot the pole-zero map. ii) obtain the step response of the system, % overshoot, steady state error, peak time Tp and settling time Ts if possible. E(s) K₁ (a) Figure 2 Motor 25 s(s+1) C(s)
The state-space of a control system given a: Design the state feedback gain matrix using the direct comparison method. Where the new closed- loop poles are to be placed at s = −2, and s=4. The state feedback gains are: a. 0 1 * = [_₂_²³] [₁²]+] ₁₁ -L-2 x U -3 b. k₁ = 6, k₂ = 3 k₁ = −3, k₂ = −6 k₁ = −10, k₂ = −5 d.k₁ = −5, k₂ = -10
When the unit step function is applied to the system input given below, the output response is as in figure-b.is happening. K and a seen in the open loop transfer function are constant numbers. Calculate the settling time of the system.
An operational-amplifier circuit that may be used as a controller is shown in Figure Qla. -1 (а) R4 ww R2 ww ww R3 R1 Figure Qla R1, R2, R3 and R4 are resistors and Cl and C2 are capacitors. Assume both op-amps are ideal and their input/output voltages are ei, e and eo, as shown in the Figure. Using the impedance approach: obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and E(s)/E(s). (i) hence obtain the complete transfer function for the system, i.e. E(s)/Ei(s). (ii) (iii) Determine D(s) = E.(s)/E:(s) when R1 = R2 = R3 = R4 = 1 N and C1 =1 F, C2 2 F. (b) Consider the closed-loop control system shown in Figure Qlb. 1 Σ K.D(s) (s + 2) Figure Qlb K is the gain and D(s) is the transfer function obtained in part (a)-iii. (i) Plot open loop zeros and poles for the above system in the s-plane. [". Determine whether the point (-1+j) is a closed loop pole for any value of K, by considering the angle criterion at this point. (ii) (c) Briefly summarise the steps, which need to be…
Which of the following are the characteristics of the closed loop systems?Immersive Reader () 1- It does not compensate for disturbance 2-It reduces the sensitivity of plant-parameter variations 3-It does not involve output measurements 4-It does not has the ability to control the system transient response

SEE MORE QUESTIONS

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:

9781337900348

Author:

Stephen L. Herman

Publisher:

Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:

9781337900348

Author:

Stephen L. Herman

Publisher:

Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

Fundamentals of Electric Circuits

Electrical Engineering

ISBN:

9780078028229

Author:

Charles K Alexander, Matthew Sadiku

Publisher:

McGraw-Hill Education

Electric Circuits. (11th Edition)

Electrical Engineering

ISBN:

9780134746968

Author:

James W. Nilsson, Susan Riedel

Publisher:

PEARSON

Engineering Electromagnetics

Electrical Engineering

ISBN:

9780078028151

Author:

Hayt, William H. (william Hart), Jr, BUCK, John A.

Publisher:

Mcgraw-hill Education,

SEE MORE TEXTBOOKS