K Q1: Open loop transfer function a unity feedback control system is G(s) the S(1+TS) input to the system is (o=1 rpm function of time) and the steady state error being ( 0.25), if the system is critically damping calculate the constants (k and T) and the output velocity ? %3D

K Q1: Open loop transfer function a unity feedback control system is G(s) the S(1+TS) input to the system is (o=1 rpm function of time) and the steady state error being ( 0.25), if the system is critically damping calculate the constants (k and T) and the output velocity ? %3D

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...

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BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?
Consider the feedback system given the open loop transfer function below G(s)H(s) = K / ( S (s+3) (s+2)) a) Using the Routh-Hurwitz criterion, for which value of K, the poles of the closed-loop system take the pure imaginary value.b) What will be the maximum value of K for the system to be stable?c) Calculate the value of K, where the real value of the complex root of the system is Re{s}=-1. Tip 1: Closed loop transfer function T(s) = G(s) / ( 1+ G(s)H(s)) .Routh HurwitzIn order to perform the criterion analysis, the denominator of the closed-loop function will be examined. Tip 2: The real value of the system complex root Re{s}=-1 is expressed by the following formula f^2(s) = p(s-1) p(s) is the payoff of the closed-loop function.
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.
In the feedback system given below; G1(s) = 5*K, G2 (s)= 1/s(s+4*4), H(s)= 1 given as time to settle down Ts ≤ 4 s and if the percent overshoot is Y*5 ≤ 5%, then what is the K value and damping ratio? For the K value you found above, the input signal r(t) is a unit step Calculate the steady state error.
3. Consider the system a) Use state feedback ? = ?? to assign the eigenvalues of ? + ?? at −0.5 ± ?0.5. Plot TT x(t) = [x1(t), x2(t)] for the open- and closed-loop system with x(0) = [−0.6, 0.4] . b) Design an identity observer with eigenvalues at −? ± ?, where ? > 0. What is the observer gain ? in this case? c) Use the state estimate ?̂ from (b) in the linear feedback control law ? = ? ?̂, where ? was found in (a). Derive the state-space description of the closed-loop system. If ? = ? ?̂ + ?, what is the transfer function between ? and ?? TT d) For ?(0) = [−0.6, 0.4] and ?̂(0)= [0, 0] , plot ?(?), ?̂ (?), ?(?), and ?(?) of the closed- loop system obtained in (c) and comment on your results. Use ? = 1, 2, 5, and 10, and comment on the effects on the system response. Remark: This exercise illustrates the deterioration of system response when state observers are used to generate the state estimate that is used in the feedback control law.
Below is given the forward transfer function of a unity-feedback system.a) Determine the position, velocity, and acceleration error constants Kp, Kv, and Ka and the steady-state error for step, ramp, and parabolic inputs;b) If possible, use a proportional controller to give a steady-state error for ramp input of e_ss(ramp) ≤ 0.01; c) Determine the controller necessary to give zero steady-state error for a ramp input;d) Determine the controller necessary to give zero steady-state error for aparabolic input.
Consider the unity-feedback control system with the following feedforward transfer function: G(s) = K / s(s2+4s+5) (1) Plot the root locus. (2) Determine closed-loop poles that have the damping ratio of 0.5. Find the gain value K at this point. (3) For what value of K is the overshoot less than 10% and the maximum rise time less than 1.5s.
Consider the unity feedback system with the following root locus for K>0. Find the approximate value of K which leads to the maximum possible overshoot of the closed loop system. Also, find all ranges of K for which the system is overdamped and as well as the steady state error to a unit step input.
Consider unity negative feedback applied to the system: G(s) = k/s(s^2+4s+5) (a) Give a complete sketch of the root locus (0 ≤ k ≤ ∞) for this system assuming a unity feedback configuration. Make sure you show all the significant features on your sketch. Give particular attention to the angle of departure from the complex poles. (b) Indicate on your root locus diagram the point at which the damping ratio of the dominant poles is 0.5.
A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
the unity negative feedback controller shown below, in whichR(s) = thetades(s) is the desired pitch angle, H(s) is the transfer function computed in part (a), and C(s) =K(s+1)/s, a proportional-integral (PI) controller with a single control gain K. (a) Suppose that you want the pitch angle to increase at a constant acceleration of 1 deg/s2. Toachieve this, you set the desired pitch angle to a parabolic function, r(t) = 0.5t2 * us(t), where us(t) is the unit step function. What is the system type n? Calculate the steady-state error ess of the closed-loop system as a function of ?(b) Compute the closed-loop transfer function, Hcl(s) = Y(s)/R(s). Write the charateristic equation of the closed-loop system in the form 1 + KL(s) =0
are given a system’s transfer function as T(s) = 21 Construct a state-space model for the given system using ” Observer Canonical Form” method. | that the full state information of this system is available, design a state-feedback controller for this put the desired closed loop poles at ~2+ 2. Now, assume that the state information of the system are measurable, for this case what kind of controller do you suggest? Design this controller so that the ¢ Joop poles of the system are located at —10 + 510.