Q2Consider the open-loop transfer function K G, (s). What is meant by root locusanalysis? Explain in your own words the role of the characteristic equation inthis context.(a)(b)Explain what is meant by the Nyquist stability criterion. Discuss how this canbe used to determine the stability and robustness of a closed loop system? Youonly need to consider open-loop systems with no right-half-plane open-looppoles.

Answered: Image /qna-images/answer/0d372b9c-1499-4395-84b9-41fc128571c2.jpg

Answered: Q2 Consider the open-loop transfer…

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

For the open-loop transfer function below, apply Nyquist Stability Theorem to the design controller. What should be the K range needed to stabilize this system? Show the relationship between Root Locus and Nyquist Plot.
By plotting the locus-root curve of the open-loop transfer function G(s)= K / s (s+2); a) When K=4, show the locations of the closed loop poles on the root locus. Determine the damping ratio ζ and the natural frequency (wn) values at this gain value. b) Calculate and scale the unit step response of this closed-loop system by calculating the %overshoot, tp and ts (percent overshoot, peak and settling times, respectively). c) In order for this supervised system to work at least in the performance criteria (computed (greater than ζ and wn)) in question (a), scan the region where the pairs of conjugate poles should be located on the root-locus curve.
From the closed loop poles shown in the S plane, positioned at -1 and -40, determine:a) The 3rd order transfer function in closed loop, considering that it has a gain equal to 40; b) The 2nd order closed loop transfer function; c) The DC gain of the 3rd order transfer function and also of the 2nd order; d) The damped natural frequency, the values of tp, ts (2% criterion) and Mp, calculated from the 2nd order transfer function.
Ignoring the “zero” in the numerator, and based only on the denominator of the closed-looptransfer-function, determine the range of constants Kp and Ki such that the rise-time of theclosed-loop system is equal (or less than) ?r =0.18 s and so that the relative damping factor ζ isequal to (or greater than) 0.8. Use the textbook approximation for the rise-time.
a) Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. b) Define the gain and phase margin, this time on the nyquist curve.
Figure Q2 shows the block diagram of a flight control system.a) Derive the system transfer function.b) Find out the system gain, natural frequency and damping ratio for this systembased on the standard form of second order systems.c) If K1 = 2 and K2 = 10, use the standard response sheet to find out the systemsteady-state value, overshoot and 63% rise time, with a unit step input.
Q1: Without using Routh's criterion, determine if the following systems are a asymptotically stable, marginally stable, or unstable. In each case the closed loop transfer function for each system is given؟
b) G(?)=K [(S−1)(S−2) / (S+2)(S+3)] ; Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. c) Define the gain and phase margin, this time on the nyquist curve.
Study the stability as a function of the gain k of the following system using Nyquist and Routh Hurwitz method
For the system defined by the first-order differential equation: Draw the log magnitude (dB)-log frequency graph of H(jw). (The phase graph is not required. The frequency axis is expected to be logarithmic when drawing the log magnitude graph.) The input is assumed to be suppressed when the magnitude of H(jw) is -40dB. It is given that the x(t)=coswat signal is suppressed by this system. What is the smallest value of wa in this case?
SUBJECT IS : control systemQ) Discuss the effect of adding zeros to overall transfer function on system response curve.
1. Consider the state space system with the given picture. Is this a valid state-space system? 2. (sperate problame0 Write down a transfer function of a stable system for which pure proportional feedback could drive the system unstable.

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