## ME 5303 Classical Methods of
Control Systems Analysis and Synthesis
Practice Problems Assignments
(Last Updated
February 19, 2014
)
The following problems are assigned as practice for better understanding the material presented in class and identify areas where more help is needed.The problem numbers are from the textbook **Modern Control Engineering by K. Ogata, 5th edition used for Spring 2014 semester**.
**You are expected to complete the assigned practice problems usually within a week from assigned date. **
Pay extra attention and experiment/investigate (especially when you develop computer code) the effects of various parameters on system response, do not just run the software but think critically about your results.
Practice problems for Chapter 2 - Assigned January 20, 2014
Practice problems for Chapter 5 - Assigned February 7, 2014
Practice problems for Chapter 6 Part I - Assigned Febrruary 17, 2014
Practice problems for Chapter 6 Part II - Assigned
Practice problems for Chapter 7 - Assigned
Practice problems for Chapter 7 - Assigned
Practice problems for Chapter 10 - Assigned
Homework - Chapter (Practice Problems on Bode Plots)
Homework - Chapter
Homework - Chapter
Notes on Final Exam
**Practice problems for Chapter 2 - Assigned Jnauary 20, 2014 **
**Discussion Forum Created on Blackboard: **
Go over the solved problems in your textbook indicated as A.2.xx and make sure you understand them and also spend some time with a software tools such as Scilab or Matlab and become familiar with it if you are not. Your textbook has a lot of computer code (in Matlab) to analyze control problems.
The problems to work out from chapter 2 are the following:
**B-2: 3, 4, 6, 7, 8, 9, 10**
**If you have any questions, ask in the Blackboard discussion forum, email me or ask in class**.
Note some of them are very basic where others require a little more analysis.
If the problem statement says Matlab, you could use any software package you desire.
If you want to solve additional problems for practice, go ahead and if you have difficulty, let me know. (Back to top)
**Practice problems for Chapter 5 - Assigned February 7, 2014**
**Discussion Forum Created on Blackboard: **
Go over the solved problems in your textbook indicated as A_ and make sure you understand them and also spend some time with a software tool such as Scilab or Matlab and become familiar with it if you are not. Your textbook has a lot of computer code (in Matlab that can be easily ported to Scilab) to analyze control problems.
The problems to work out from chapter 5 are the following:
**B-5: 3, 6, 7, 8, 9, 13, 14, 17, 20, 21, 22, 23, 24, 26, 27, 28**
**If you have any questions, ask in the Blackboard discussion forum, email me or ask in class**.
Note some of them are very basic where others require a little more analysis.
If the problem statement says Matlab consider this as a statement for using computer tools - comparable software tools are SCILAB or other mathematical tools (Mathematica, Maple, etc).
If you want to solve additional problems for practice, go ahead and if you have difficulty, let me know. (Back to top)
**Practice Set** 3 - Chapter 6 Part I - Assigned February 17, 2014
**Discussion Forum Created on Blackboard: **
Practice problems for Chapter 6 on Root Locus Part I.
Go over the solved problems in your textbook indicated as A-6-1 through A-6-10 and make sure you understand them and also spend some time with a software tool such as Scilab or Matlab and become familiar with it if you are not. Use the software to verify your work.Your textbook has a lot of computer code (in Matlab that can be easily ported to Scilab) to analyze control problems. In Scilab the command for root locus is evans (get help to understand how to use it).
This set of problems includes basic problems of plotting the root locus plot and finding the gain to meet desired specifications (time domain, loction of dominant poles, etc).
The problems to work out from chapter 6 Part I are the following:
B-6-1 through B-6-18 and B-6-24 through B-6-28.
**If you have any questions, ask in the Blackboard discussion forum, email me or ask in class**.
Note some of them are very basic where others require a little more analysis.
If the problem statement says Matlab consider this as a statement for using computer tools - comparable software tools are SCILAB or other mathematical tools (Mathematica, Maple, etc).
Use computer tools appropriately and makes sure you understand the steps and concepts.
__Computer Tools Commands:__
Scilab command is **evans** and for
MATLAB **rlocus** and **rltool**
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Practice Set 4 - Chapter 6
I strongly advice to study the solved problems in chapter 6 (i.e. A-6- problems).
The problems to work out and submit as HW 4 on compensator design are the following (they all are B_6_xx) 17, 18, 19, 20
Note: Lead (17, 18) and
Lag
(19, 20)
Use computer tools appropriately and makes sure you understand the steps and concepts.
__Computer Tools Commands:__
Scilab command is **evans**
MATLAB commands are **rlocus** and **rlto****ol**
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Practice Set 5 - Chapter 7
I strongly advice to study the solved problems in chapter 7 (i.e. A-7- problems).
Draw the Bode Plots by Hand and then you can verify with Software (Matlab, Scilab).
In using software, my recommendation is to plot individual plots for each factor and then the total plot.
**B-7: 3, 5, 6, 18, 20, 30 **
( for 18 and 20 plot the Bode plot and not the Nyquist plot for both the open loop and closed loop transfer function)
Note for plotting multiple plots on the same bode plot:
Scilab: bode([sys1; sys2; ..])
Matlab: bode(sys1, sys2, …)
You can also issue the help command (help bode) for each language
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Practice Set 6 - Chapter 7
I recommend that you use computer tools (Scilab/Matlab/Octave or other tools you are familiar with) for this homework set (where it makes sense) to help with drawing bode plots and extracting information from the plots. Experiment with the computer tools.
Be careful to understand the various steps followed and the reason for taking these steps.
You might need to read some material in your textbook on your own.
Note: Only partial solutions will be provided for this homework set. Email me if you have questions.
**B-7: 11, 23, 26, 27, 32, 34**
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Practice Set 7 - Chapter 10
I recommend that you use computer tools (Scilab/Matlab/Octave or other tools you are familiar with) for this homework set (where it makes sense). Make sure you understand the concepts and procedures if you use computer tools for your solutions.
Study the examples and solved problems in your textbook (part A) as appropriate to the material covered in class.
DL Students could turn in the HW by Tuesday May 11.
**B-10: 3, 5, 8, 9, 14, 20, 21**
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Practice Set 8 - Chapter 8 on Bode Plots
I would strongly advice that you work the following problems in Chapter 8.
A: 1, 4, 8
B: 1, 2, 3, (matlab/scilab), 5, 6
Remember the exam will cover Bode plots - material covered last week and partially on
Tuesday March 10. These problems are not to be turned in as a HW.
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Homework # - Chapter 8 -
You could use matlab or scilab.
**Study the sections on Phase Margin, Gain Margin and Bandwidth**
**B-8: 1, 2, 3, 4, 5, 6, 23 (bode only)**
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Practice Set # - Chapter 8
For those using Matlab, you could experiment with the RLTOOL command.
I donot know if there is an equivalent SCILAB command – if anyone finds something similar let me know and I will inform the rest of the class.
Note that you could use computer tools where appropriate and encourage you to do so considering you could analyze simple problems by hand and identify the required information.
Also, where appropriate, extend the problem statement to find wcg, wcp, GM, PM, discuss stability, limits on stability and also plot step responses (various K-values) of closed loop system (again using computer tools).
** B-8: 26, 27, 28, 29, 30, 31, 32, 33, 34**
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Homework # - Chapters 11/12 - Due Thursday April 9, 2009 (beginning of class)
Use computer tools as you see fit and to verify hand calculations.
Make sure your simulation results are reasonable.
Make sure you could perform hand calculations if needed.
**Chapter 11:
B-11: 2, 4, 5, 14, 16**
**Chapter 12:
B-12: 3, 6, 8, 9, 10, 12**
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NOTES TO ALL STUDENTS:
- I would like to get feedback from everyone reference to a course evaluation and especially comments on how to improve the course and my teaching methods.
Your input/comments constructive criticism will be appreciated and it could be anonymous if you so prefer but if you put your name down it will not influence my decision on your grades at all.
- Any hardware demonstrations will be announced promptly and will take place in rooms 123 or 219 Woolf Hall.
- The review session will be on Tuesday of last week of classes.
- If you have any specific questions on the HW and would like to see any solutions, please email me the question and problem and I will see how I could send solutions.
**DISTANCE LEARNING STUDENTS:**
- Please email me any questions for the review session to be discussed with the whole class.
**FINAL EXAM: **
Please let me know if you will be coming to campus for the final at the university scheduled time.
The exam will be comprehensive.
If you are not coming to campus, please make arrangements with proctors and inform them that the exam will be faxed to them on the day of the exam before 8:30 AM Texas time.
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