Phase-Lead Root LocusUsing the root locus method, design a controller with phase-lead compensation for a system whose plant transfer function is: Gp(s) = 4 / [ (s + 1) * (s + 4) ] Thesteady-state error is to be zero for a step input, and the step response overshoot should be less than 15%. The settling time to within 2% is to be approximately 3s.

We need to design a phase-lead compensator for a system whose plant transfer function is…

Answered: Using the root locus method, design 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...

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What is meant by impedance matching? Why is impedance matching needed?
2. Consider the feedback control system shown in Figure 2. a) Determine the steady-state error (ess) for a step input in terms of thed gain, K. b) Determine the steady-state error when K = 4. c) Determine the sensitivity Sg. d) How does the gain K effects the steady-state error in this system? Controller Process K(s + 50) (s + 200) 46.24 R(s) Y(s) s2 + 16.7s + 72.9 Sensor 425 s+ 425 Figure 2. Feedback control system
4. A laser guidance system was used to control the boring machines drilling the channel tunnel to ensure that the machines, which were drilling from either end, met in the middle. The desired angle of heading of the boring machine y,, compared with the measured heading angle y and the error is used in a proportional controller of gain Kp, Figure Q4. Encountering non-uniform layers of earth or rock can cause disturbances in the heading of the boring machine denoted by D(s). (a) Derive the transfer function relating the heading ụ to the reference heading , (assuming no dis- turbance) and hence show that the steady state error due to a step change in the reference heading is zero irrespective of the value of Kp. (b) Derive the transfer function relating the heading y to the disturbance D assuming a zero reference value. (c) Calculate the natural frequency, damping, and overshoot of the system when i) K, = 50, ii) K, = 100. 1 Control 3 Section 3 Tutorial: Feedback Control Systems D(s)…
Given a PI system with a proportional gain constant of 2 and an integral gain constant of 3. Initiallythe controller is running at a steady state output of 50%. For time = 0 to 1s there is no error. Fortime = 1s to 2s there is a constant error of +6%. For time = 2s to 3s there is an error of -4%. Findthe output of the controller at the end of each of the three time spans
Problems for home work(time domain response) be Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system?
Consider a negative unity feedback control system KG(s): K(s + 10) s(s+5)(s+ 6) (s+8) Using Matlab, write a code to plot the root locus of this system. Copy and paste your code as well as the root locus graph.
This is signal and system question...please do asap.tq
Y(s) U(s) s? + 2Ems + m² For the generic second order plant (s) = ,the PID controller U(s) E(s) + Kas is used in cascade to form a unity feedback closed loop C(s) = -= Kp + control system, whose reference input is R(s). a) Find the error between the reference input and the plant output, E(s) = R(s) – Y(s). b) If Kp = 250 , K, = m² and K-1. find the transfer function of the unity feedback closed loop system.
Q2 Consider the open-loop transfer function KG, (s). What is meant by root locus analysis? Explain in your own words the role of the characteristic equation in this context. (a) (b) Explain what is meant by the Nyquist stability criterion. Discuss how this can be used to determine the stability and robustness of a closed loop system? You only need to consider open-loop systems with no right-half-plane open-loop poles.
Q4:\ For the system descried by the following model: k s+a Where k and a are 2 unknowns and may be time varying parameters. Design Model reference adaptive controller (MRAC) by using MIT rules to follow a reference model in which the static gain is 0.7 and the time constant is 0.5.
W/ explanations 9.) Find time Constant TC, Se Hling time Ts of - 4 (st (-4)) b.) Draw tine response Tr.

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