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...

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