Q#3 Given a unity feedback system that has the following transfer function K(s + 13) (s2 – 07s + 110) G(s) = %3| do the following: 1. Sketch the root locus. 2. Find the imaginary-axis crossing. 3. Find the gain K at the jo-axis crossing. 4. Find the break-in point. Solution#3

Q#3 Given a unity feedback system that has the following transfer function K(s + 13) (s2 – 07s + 110) G(s) = %3| do the following: 1. Sketch the root locus. 2. Find the imaginary-axis crossing. 3. Find the gain K at the jo-axis crossing. 4. Find the break-in point. Solution#3

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

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
Transfer Function and Step Response INSTRUCTIONS:1. Perform a proportional control that guarantees a settling time of 1 second, for thefirst order system given by: G(s) =g /τs + 1 Where the time constant takes the numerical value of 21 and the gain takesthe numerical value of 21
QI) A system i described by the following open loop transfer function: ) lavestigate the sabulity of the open loop syem. b) Deaw the toot locus of the system €) Detcrmune the closed loop stability of the system (1. the value of K that keeps the system stable) 2 Addfile
ANSWER THE FOLLOWING Find the transfer function of C(s)/ R(s) in a system (A) having a positive feedback (H). Select the best answer a. AH / (1 + AH) b. A / (1 – AH) c. AH + 1 d. A/ (1+AH)
A rotating load is connected to a DC motor with negligible inductance. A test result shows that the load reaches a steady-state speed of 60 rpm (revolutions per second) in 5 seconds when a constant voltage of 12 V is applied to the motor terminals. Let the input be the terminal voltage v(t), and the output be the angular velocity w(t) of the load. (a) Determine the DC gain and the time-constant of the system. (b) Obtain the transfer function of the system.
1. An RC network is given in Figure Q1.1 with the input voltage Vin(t) and theoutput voltage Vo(t). a) (i) Derive the transfer function of the network.(ii) If R1 = 10 kohm, R2 = 1 Mohm, C1 = 20 uF, and C2 = 200 uF,mathematically derive the system time response with an impulse input ofmagnitude b) Simplify the block diagram shown in Figure Q1.2 and find out the systemtransfer function Y(s)/R(s).
Question 2 Complete the following unfinished MATLAB code. % DC motor transfer function G1 = tf([0.8 1.6],[1 4 7.2]); % Cable reel transfer function G2 = tf([25],[1 1]); % System transfer fuction G=G1*G2 %% PID - Reaction curve method % Compute the step response of G and save it in [Y2,T2] [Y2,T2] = step(Tcl); % Compute the derivative of the step response % Finds the inflection point [M,I] % Time that the inflection point was observed % Magnitude of the step reponse at the inflection point % Gradient of the step reponse at the time of the inflection point % Find the X and Y intercepts % Compute the parameters for ZN PID tuning, i.e. "R" and "tau" % Obtain the PID gains Kp, Ti, Td and N using the ZN tuning rules for the Reaction Curve method. % Fine tune the gains Kp, Ti and Td to satisfy the control requirements (Peak time, overshoot, steady-state error) % Obtain the transfer function of the PID controller. Use the command "pidstd". %…
Consider the unity-feedback system with the open loop transfer function: ?(?)= 1 /?+5 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a- r(t) = sin(? + 30°) b- r(t) = 2cos(2? − 45°) c- r(t) = sin(? + 30°) + 2cos(2? − 45°)
A second order pressure transducer has an undamped natural frequency of 300 rad/s, damping ratio of 0.1 and a static sensitivity of 10-6 V/N/m2 . It is connected to a second order recording device which has an undamped natural frequency of 400 rad/s damping ratio of 0.5 and static sensitivity of 5 mm/mV. If the input is a sinusoidal pressure signal of amplitude 1000 N/m2 and frequency 30 Hz., find the value of the output amplitude as recorded and the phase difference between the input and output signals.
A system transfer function has its poles at −2,−2 and −1± j1, and its zeros at 1,−3. (1) Determine the dominant pole(s) (Enter your response in the blank box, in the case of multiple poles: separate with commas):(2) If the system DC gain is equal to -3, build the system transfer function (Enter your response in the blank box in the form ((D + E))/((A+B)(G+H)):
For the system described by the following transfer function (A) Find the state space equations. (B) Show that the system is completely state controllable. (C) Show that the system is completely state observable. (D) Design a regulator using state feedback technique to satisfy the response of dampingratio ( ζ=0.6), natural frequency (ωn =6) and zero steady state error. (E) Implement regulated system.
A dynamic process described by the following transfer function G(s)=5s+10/s^2+2s+10 is to be controlled by a state-variable digital system. Design and simulate with step input, the closed loop discrete time controller that will drive the plant through ZOH if the desired closed-loop system performance should have a settling time of 4 seconds and peak overshoot of 1%. Assume sampling time of T=0.01 seconds. Assume that all CCF state variables are accessible.