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Question 2 (Controller Design via Root Locus): Consider the following closed-loop control system illustrated in Figure 2. T-0.2 sec Controller ZOH System r(t) e(t) + 1-e 2 (s+2) ......... D(z) ..... ....... G(s) ....... Figure 2. Closed-loop control system Design a D(z) controller such that = 2 sec, =0.5, e, =0. z(1-e") a) Obtain the G(z) transfer function. (Hint: Z- s(s+a) b) Determine the closed-loop system poles in s-domain and z- domain. (z-e") c) Illustrate the pole-zero distribution of G(z). d) Design a D(z) controller such that ter = 2 sec, = 0.5, e, -0 via angle and magnitude condition. e) Illustrate the control signal applied to the system, system output in response to a step function via Matlal Simulink. Significant Notes related to the preparation of assigments: 1)Assigment should be a main cover including the following informations Name Surname of the student and lecturer - Informations about the term, lecture, lecture code etc. - Number of the assignment etc. 2) Assignments should be prepared in computer environment. Therefore, you can use programs like MS word ete. 3) The preparation of the assignment meticulously is of great importance. 4) Dont forget to add block diagrams utilized in Matlab simulink, figures plotted via M Matlab m-file codes to your assignments.

Question 2 (Controller Design via Root Locus): Consider the following closed-loop control system illustrated in Figure 2. T-0.2 sec Controller ZOH System r(t) e(t) + 1-e 2 (s+2) ......... D(z) ..... ....... G(s) ....... Figure 2. Closed-loop control system Design a D(z) controller such that = 2 sec, =0.5, e, =0. z(1-e") a) Obtain the G(z) transfer function. (Hint: Z- s(s+a) b) Determine the closed-loop system poles in s-domain and z- domain. (z-e") c) Illustrate the pole-zero distribution of G(z). d) Design a D(z) controller such that ter = 2 sec, = 0.5, e, -0 via angle and magnitude condition. e) Illustrate the control signal applied to the system, system output in response to a step function via Matlal Simulink. Significant Notes related to the preparation of assigments: 1)Assigment should be a main cover including the following informations Name Surname of the student and lecturer - Informations about the term, lecture, lecture code etc. - Number of the assignment etc. 2) Assignments should be prepared in computer environment. Therefore, you can use programs like MS word ete. 3) The preparation of the assignment meticulously is of great importance. 4) Dont forget to add block diagrams utilized in Matlab simulink, figures plotted via M Matlab m-file codes to your assignments.

Introductory Circuit Analysis (13th Edition)
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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I need help with question 2 section a, b and c. It's ASAP. Thank you
0:42 O 1,7KB/s N 62% Assigment_4_2021.pdf Figure 1. Closed-loop system. Question 2 (Controller Design via Root Locus): Consider the following closed-loop control system illustrated in Figure 2. T= 0.2 sec Controller ZOH System r(t) c(t) 1-e (s+2) *********+ D(z) ...... G(s) .......... Figure 2. Closed-loop control system Design a D(z) controller such that t = 2 sec, 5 = 0.5, e, =0. a a) Obtain the G(z) transfer function. (Hint: Z 2 (1-") (s(8+a)]¯ (z-1)(z-e")' b) Determine the closed-loop system poles in s-domain and z- domain. (z =e") c) Illustrate the pole-zero distribution of G(z) d) Design a D(z) controller such that tnter = 2 sec, = 0.5, e, =0 via angle and magnitude condition. e) Illustrate the control signal applied to the system, system output in response to a step function via Matlab Simulink. Significant Notes related to the preparation of assigments: 1)Assigment should be a main cover including the following informations Name Surname of the student and lecturer Informations about the term, lecture, lecture code etc. - Number of the assignment ete. 2) Assignments should be prepared in computer environment. Therefore, you can use programs like MS word etc. 3) The preparation of the assignment meticulously is of great importance. 4) Dont forget to add block diagrams utilized in Matlab simulink, figures plotted via M Matlab m-file codes to your assignments.
Transcribed Image Text:0:42 O 1,7KB/s N 62% Assigment_4_2021.pdf Figure 1. Closed-loop system. Question 2 (Controller Design via Root Locus): Consider the following closed-loop control system illustrated in Figure 2. T= 0.2 sec Controller ZOH System r(t) c(t) 1-e (s+2) *********+ D(z) ...... G(s) .......... Figure 2. Closed-loop control system Design a D(z) controller such that t = 2 sec, 5 = 0.5, e, =0. a a) Obtain the G(z) transfer function. (Hint: Z 2 (1-") (s(8+a)]¯ (z-1)(z-e")' b) Determine the closed-loop system poles in s-domain and z- domain. (z =e") c) Illustrate the pole-zero distribution of G(z) d) Design a D(z) controller such that tnter = 2 sec, = 0.5, e, =0 via angle and magnitude condition. e) Illustrate the control signal applied to the system, system output in response to a step function via Matlab Simulink. Significant Notes related to the preparation of assigments: 1)Assigment should be a main cover including the following informations Name Surname of the student and lecturer Informations about the term, lecture, lecture code etc. - Number of the assignment ete. 2) Assignments should be prepared in computer environment. Therefore, you can use programs like MS word etc. 3) The preparation of the assignment meticulously is of great importance. 4) Dont forget to add block diagrams utilized in Matlab simulink, figures plotted via M Matlab m-file codes to your assignments.
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