E5.19 A second-order system has the closed-loop transfer function T (s) = Y(s) w/7/2 7 R(s) s² + 25wns + wn/12 s² + 3.175s + 7° (a) Estimate the percent overshoot P.O., the time to peak Tp, and the settling time Ts of the unit step response. (b) Obtain the system response to a unit step and verify the results in part (a).

E5.19 A second-order system has the closed-loop transfer function T (s) = Y(s) w/7/2 7 R(s) s² + 25wns + wn/12 s² + 3.175s + 7° (a) Estimate the percent overshoot P.O., the time to peak Tp, and the settling time Ts of the unit step response. (b) Obtain the system response to a unit step and verify the results in part (a).

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

Consider a closed loop system with zero order hold.consider Gp(s)=400/s2+400.determine the closed loop transfer function T(z) for the system at T=1sec
Given the linear mechanical system below:Determine the transfer function ?3(?)/?(?). Express your answer as a single fraction andarrange the degree of variables in descending order.
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.
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.
For a multistage bio separation process described by thetransfer function,G(s)=2/{(5s+1)(3s+1)(s+1)} (a)Calculate the response to a step input change of magni-tude, 1.5.(b)Obtain an approximate first-order-plus-delay model using the fraction incomplete response method.(c)Find an approximate second-order model .(d)Calculate the responses of both approximate models using the same step input as for the third-order model. Plot all three responses on the same graph. What can you conclude concern-ing the approximations?
At t=0, a 1 pound force, denoted by f(t), is applied to the translational mechanical system. Determine K and M such that the response has a 1 second peak time and 4 second settling time if fv = 1. Additionally, what is the resulting overshoot percentage? Determine also the resulting transfer function as well as the steady state error for step input.
For the circuit given below, it is given as R1=R2=1Ω, L1=1H, c=1F, V1=2V. If IL1(0)=1A and Vc1(0)=2V I1(s)=? I2(s)=?
Select the forward path gain (M ktop) for the system for the SFG diagram given below
A car was ignited & a signal from the engine i.e a(z) was passed through a cascade of 2 passive RC lowpass filters to generate an output signal, b(z).a.Show a differential equation derivation to describe the systemb.Make a sketch utilizing circuit diagramc.Mention if the RC system in question above isi.Time in-variant / Time variant ii.Non linear / lineariii.Non-invertible / Invertibleiv. Non-causal / Causal v. Have no memory / Have memory sytems.d. d2b(z)/dz2 + 3(db(z)/dz) +2b(z) = 3(da(z)/dz) +2a(z)Let's assume that the d.e(differential equation) above is that which is characterised by the RC system in the main question above.Where a(z) & b(z) is the input & output of the RC system respectively.Considering an impulse of a(z)=δ(z) is applied to the system, determine the output b(z) of the system
Is the Maximum Power Transfer Theorem verified experimentally? Explain.
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
Given a plant P(s)=−3s+1s+a and a model for measureable output disturbance d with transfer function Q(s)=1s+b. Compute the DC feedforward solution uP=u+Fd, where u is the feedback control, F is the feedforward gain, abd uP is the plant input, when a = 4.3 and b = 3 (use 2 decimals).