The block diagram below shows a feedback controller for controlling the pitch angle 0 (t)of an airplane, in which 0des is a desired pitch angle and the control input is the elevatordeflection angle u(t) = 8(t).K(s+1)Let C(s) =Sa proportional-integral (PI) controller with a tunable control gain K.1.15s + 0.177O desC(s)еs3 + 0.739s2 + 0.921sH(s)÷t2 .(a) Suppose that Odes is defined as a parabolic function of time, 0des (t) = t2 · us(t),where u, (t) is the unit step function. Calculate the steady-state error ess of the closed-loop system as a function of the gain K.(b) This closed-loop system is stable for 0< K < 1.27. Given that the steady-state error esscan be computed only when K is in this range, use your expression for ess from part (a) tocompute the lower bound on ess; that is, find the value emin for which ess > emin .

The given block diagram close loop system is Cs=Ks+1s. We need to find the steady state error for a…

The block diagram below shows a feedback controller for controlling the pitch angle 0(t) of an airplane, in which Odes is a desired pitch angle and the control input is the elevator deflection angle u(t) = 8(t). %3D K(s+1) Let C(s) = -, a proportional-integral (PI) controller with a tunable control gain K. S 1.15s + 0.177 O des C(s) s3 + 0.739s2 + 0.921s H(s) (a) Suppose that Odes is defined as a parabolic function of time, Odes(t) = t2 · us(t), where u, (t) is the unit step function. Calculate the steady-state error ess of the closed- loop system as a function of the gain K. (b) This closed-loop system is stable for 0< K< 1.27. Given that the steady-state error ess can be computed only when K is in this range, use your expression for ess from part (a) to compute the lower bound on ess; that is, find the value emin for which ess > emin .

The block diagram below shows a feedback controller for controlling the pitch angle 0(t) of an airplane, in which Odes is a desired pitch angle and the control input is the elevator deflection angle u(t) = 8(t). %3D K(s+1) Let C(s) = -, a proportional-integral (PI) controller with a tunable control gain K. S 1.15s + 0.177 O des C(s) s3 + 0.739s2 + 0.921s H(s) (a) Suppose that Odes is defined as a parabolic function of time, Odes(t) = t2 · us(t), where u, (t) is the unit step function. Calculate the steady-state error ess of the closed- loop system as a function of the gain K. (b) This closed-loop system is stable for 0< K< 1.27. Given that the steady-state error ess can be computed only when K is in this range, use your expression for ess from part (a) to compute the lower bound on ess; that is, find the value emin for which ess > emin .

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

Communication system Let's consider a communication system where four signals with different frequencies f1, f2, f3, and f4) are combined to form a single composite signal. The composite signal is represented by the equation: s(t) = 3 sin(500m (k, x t) + T/6) + 4 sin (10007 (kz × t) + T/4) + 2 sin(1500t (k3 X t) + T/3) + 5 sin(2000m(k. X t) + /2) Given the scaling factors: kg = 0.8, kz = 1.6, k3 = 2.4, and k4 = 3.2. Determine the fundamental frequency
For the system shown in the attached image, assume A = 1300 and n = 860. Draw the root locus for K > 0 and find the range of K for closed-loop stability when:i. G(s) = Kii. G(s) = K(s + 200) / (s + 1000)
ANSWER THE FOLLOWING QUESTIONS Given the closed loop system, what is the forward transfer function? a. 0.1Ks b. 0.1 c. K / [(1 + K)s + 1] d. 0.1K / [(1 + K)s + 1]
Please provide Handwritten answer. 2) When k=17, a=1, b=0.5, determine the stability using the Nyquist criteria.
Consider a stable LTI system with input x(n) and output y(n). The zero-pole pattern of y(n)consists of a double zero at the origin of the z-plane and the poles 3 ± 3j. The zero-pole pattern ofx(n) consists of a double zero at the origin of the z-plane. Find the system function and the systemimpulse response.
1. Given an analog signal x(t)=10 cos(2π.5500t)+5 cos(2π.7500t) is sampled at a rate of 8,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal low pass filter with a cutoff Frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal; c. determine the frequency/frequencies of aliasing noise.
Given: discrete-time sinusoid x(n)=2cos(nπ/2)+sin(3nπ/4), ignoring the effects of aliasing, if this was due to sleeping rate Fs = 67 Hz. Question: What are the frequencies of the continuous time cosine and sine functions?
a. Determine the suitable sampling period for the following systems i. G(s) = 10 / (s + 1) ii. G(s) = 16 / (s2 + 8s + 16) b. A closed-loop control system must be designed for a damping ratio of about 0.7 and an undamped natural frequency of 10 rad/s. Select a suitable sampling period for the system if the system has a sensor delay of 0.03 sec.
1. Finding the closed loop transfer function of the system2.What is the steady state error of the system when a unit ramp signal is applied to its input?3. Given Km=5 and Kb=0.01, what should be the K value for a steady-state error to occur at the unit ramp input of the system?
Consider a closed-loop system with a zero-order hold. Consider G,(s) =400/(s^2+400) Determine the closed-loop transfer function T(z) for the system at T=1 sec.
Transfer function of the pulmonary system that represents alveolar pressure PA to Pao is given by H(s)=(0.8∗8,5)/(s^2+4s+8,5) . for Pao = 5 mmH2O, PA at steady-state is …… mmH2O
For the sampled signal ws(n) = 12 + 8 cos((1/4)πn + 0.1) + 12 sin((3/4)πn − 0.2) generated by sampling w(t) at t = nT at a sampling frequency of fs = 1/T = 600 Hz, find expressions for w(t) with the following restrictions:a) Component frequencies range from 0 Hz to 300 Hzb) Component frequencies range from 300 Hz to 600 Hzc) Component frequencies range from 600 Hz to 900 Hz