Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
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".   % Obtain the closed-loop transfer function Tcl. Use the command "feedback" and save the result in the variable "Tcl"     % In the following line we use the command "step" to save the the step response in the variables "y" and "t" [y,t] = step(Tcl);   % Use the command "stepinfo" to obtain the characteristics of the step response and save the result in the variable "assessStep"     % In the following line we compute the steady-state error and save it in the variable "ess" ess = abs(1 - y(end))

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".   % Obtain the closed-loop transfer function Tcl. Use the command "feedback" and save the result in the variable "Tcl"     % In the following line we use the command "step" to save the the step response in the variables "y" and "t" [y,t] = step(Tcl);   % Use the command "stepinfo" to obtain the characteristics of the step response and save the result in the variable "assessStep"     % In the following line we compute the steady-state error and save it in the variable "ess" ess = abs(1 - y(end))

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...
See similar textbooks
icon
Related questions
Question
100%

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".

 
% Obtain the closed-loop transfer function Tcl. Use the command "feedback" and save the result in the variable "Tcl"

 

 
% In the following line we use the command "step" to save the the step response in the variables "y" and "t"
[y,t] = step(Tcl);

 
% Use the command "stepinfo" to obtain the characteristics of the step response and save the result in the variable "assessStep"

 

 
% In the following line we compute the steady-state error and save it in the variable "ess"
ess = abs(1 - y(end))

 

 
0.8s + 1.6 Consider a DC motor with a dynamic model G₁(s) = s² + 4s +7.2 controller using the Zielger Nichols Reaction Curve method. The closed loop system is shonw in the figure. R(s) + Σ CPID(S) ▪ Peak Time: Tp ≤ 0.5 second ■ Overshoot: P.O. < 30% ▪ Zero steady-state error , and is used to drive a cable reel with a dynamic model, G₂(s) = The PID controller should have the following parallel form, 1 TD CPID(S)= Kp(1+ + Tis TDS +1 The closed-loop step response should achieve the following objectives: G₁ (s) G₂ (s) Y(s) 25 s+1 You are required to design a PID
Transcribed Image Text:0.8s + 1.6 Consider a DC motor with a dynamic model G₁(s) = s² + 4s +7.2 controller using the Zielger Nichols Reaction Curve method. The closed loop system is shonw in the figure. R(s) + Σ CPID(S) ▪ Peak Time: Tp ≤ 0.5 second ■ Overshoot: P.O. < 30% ▪ Zero steady-state error , and is used to drive a cable reel with a dynamic model, G₂(s) = The PID controller should have the following parallel form, 1 TD CPID(S)= Kp(1+ + Tis TDS +1 The closed-loop step response should achieve the following objectives: G₁ (s) G₂ (s) Y(s) 25 s+1 You are required to design a PID
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Lag, Lead and Lead-Lag Compensator
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS