Define the steady state error for control systems

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Reference no: EM132205476

Assessment Requirements

In this course work (CW) you may use the concepts you learned during your lectures and your laboratory works together with your ability in performing further research in bringing more details if necessary.

Assessment Details

1. This exercise shows the PID Controller tuning in MATLAB and Simulink, for DC Motor control. Download this Simulink file "dcintrocomplete.mdl" form the contents in NOW.

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Then, open the PID tuner AutotunerPID to tune the controller parameters.

Change the parameters until you achieve the following performance specifications:
- Maximum overshoot ≤ 6%
- Maximum rise time < 0.35s
- Maximum setting time < 1.10s
- Gain margin > 29 dB
- Phase margin > 67
- Explain the differences between the outputs of the initial and the modified system.

2. Define the steady state error for control systems. Then, find the steady state error for the following system when the input is (a) unit step, (b) ramp function, and (c) parabola.

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3. A typical hard disk drive actuator can be modelled quite accurately as a double integrator:

G(s) = Y(s)/U(s) = (6 x 107)/S2

where y is the displacement of the read/write head in micrometre and u is the actuator input in volts. The sampling used in a typical hard disk drive servo system is 10 kHz. It is required to design an appropriate controller so the resulting closed-loop system has an overshoot less than 25% and a settling time less than 8 milliseconds as the response to a step reference of 1 micrometer. Design a digital PD, PI, or PID controller to meet the above design specifications using the emulation based method. Show all the detailed design procedure and the results of your simulations using MATLAB and Simulink.

4. Convert (manually) the following digital transfer function into its state space representation:

G(z) = (0.8z2 - z +1)/(z2 - 1.2z +0.4)

Provide the detail derivations and the values of state space parameter matrices. Then, use MATLAB to verify your answers.

5. Consider the system in question 1. The sampling rate is again chosen to be 10 kHz. It is required to design an appropriate compensator such that the resulting closed-loop system has an overshoot less than 25% and a settling time less than 8 milliseconds as well as a steady state error to be less 1% due to a step reference of 1 micrometer. Can you design a digital lead compensator that would achieve the above design specifications? If your answer is yes, please give your solutions together with all detailed derivations and simulation results. If your answer is no, please give your reasons together with detailed justifications. Use MATLAB and SIMULINK wherever possible.

Verified Expert

This is an assignment based on MATLAB simulation.It includes PID controller and motor. There is a closed loop system where PID tune is required.As per given requirement, this tune is done to achieve those parameters value along with this, there is some question for digital domain analysis and State-space-analysis, that are done clearly according to standard methods.

Reference no: EM132205476

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Reviews

len2205476

1/1/2019 9:22:02 PM

I have also attached assignment 1 done by you. This time he wants at least 75 % result if you can give quality work then confirm this assignment and Please let me know the price in INR. Also follow this : Since a full answer to Question 1 requires compensation of the system to correct the GM and you practice this in the last question, in this question you may consider any positive GM (i.e. GM>0) instead of GM>0.35 as one of the requirements. Keep other parameters as in the question. This makes the solution easier (though the full answer to the question is favourable) and still you will receive the full mark.

len2205476

1/1/2019 9:20:29 PM

References & Sources of Information - Range of academic and current business and management references - Citing and referencing sources. A wide range of good quality academic sources have been used, including academic journal articles, books, trade publications, websites, company sources, and reputable data Referencing and citations are accurate throughout. Some good quality sources of information have been used, including at least one academic paper from a reputable journal. The student has clearly not just relied on what they can find on the Internet. References have been drawn from some good quality sources (reputable websites, books, newspapers) but there are no references from academic journals. There are some referencing / citing errors. Only poor quality (e.g. Wikipedia or similar) or no references have been included.

len2205476

1/1/2019 9:20:22 PM

Presentation of report English – Style, spelling, grammar graphs, tables, Literate and appropriate to content. Excellent use of tables and figures for illustrations * Enjoyable to read and of publishable standard Generally correct, but some minor grammar / spelling errors. Good use of tables and figures for illustrations A number of spelling / grammar errors – obvious reliance on automatic spell checker. Limited use of tables and figures for illustrations Difficult to read, with some incoherent sentences. Many errors. No tables or figures.

len2205476

1/1/2019 9:20:15 PM

Critical Evaluation Critical evaluation and discussion of the key issues impacting on the The motives of the study are analysed/evaluated with insight. Analysis is supported by Analysis/evaluation is made in a thoughtful way with attempts to refer to published works to The issues are described, but no critical analysis/evaluation is made. Analysis is purely There is no analysis/ evaluation at all, and all that is described are the student’s wireless communications reference to key literature. * Analysis is sophisticated and of publishable standard support what is written. Some analysis may be solely descriptive. descriptive. opinions or reproduction of found material or module lectures.

len2205476

1/1/2019 9:20:09 PM

Analysis of research using lab work Understanding of actual operating conditions and practical performance analysis A clear understanding of the purpose of the lab work and how it can be used to buttress research findings with respect to performance analysis. Correct conclusions are drawn. *The level of understanding beyond expectations. Good understanding of research and lab work. Some attempts have been made to use published works in analysis of lab tasks. Satisfactory understanding of wireless communications performance analysis. Limited reference to published work to support what is written. Lack of understanding of the relevance of network performance measures. Lack of support with published materials.

len2205476

1/1/2019 9:20:02 PM

Range of technologies covered Quantity and quality of background research, analysis of key information, number of wireless technologies covered in report All key topics have been included, with meaningful analysis of each in the context of the assignment. Correct analysis and comparison of at least 3 different wireless technologies * The module topics have been included in an integrated way, rather than just different sections. All of the key topics have been included, with thorough analysis for most. Correct analysis and comparison of at least 2 different wireless technologies Most of the key topics have been included, but the analysis for some may be incomplete or superficial. Limited analysis and comparison of about 2 wireless technologies Many of the key topics may not be included or the paper is written in such a way that it is not clear which module topics are included. Only one technology mentioned and no form of comparison

len2205476

1/1/2019 9:19:56 PM

Class/grade Assessment criteria Distinction (Excellent) Commendation (Very Good) Pass (Good) Fail (insufficient) *Exceptional Distinction High C Mid C Low C High P Mid P Low P Marginal fail Mid Fail Low Fail High D Mid D Low D Abstract and Introduction General overview and understanding of wireless technologies Clear and fact based introduction to the investigation, knowledge of area of application and current technical challenges experienced with use of technology. Research gaps The introduction clearly describes the investigation, good knowledge of area of application and current technical challenges experienced with use of technology. Enough information about the investigation. Some knowledge of wireless technologies and applications. It is not clear about the rationale for the investigation, poor understanding of wireless communications.

len2205476

1/1/2019 9:19:48 PM

The marking scheme: • In this course work you need to answer all the questions precisely. They have more or less the same mark weightage. • Each question has 15% of the total 100% mark. • 10% of the mark will be given to presentation, clarity, writing style, consistency in format particularly for the list of references. • Mark will be deducted for over-size (more than 13 pages; 12 pages for the content and 1 covering page) submissions. • Mark will be deducted for late submissions accordingly. Zero mark will be given to those submitted more than 3 days after the deadline.

len2205476

1/1/2019 9:19:38 PM

Students are expected to show knowledge of underlying principles of wireless communication while demonstrating the ability to undertake research and critically analyse information. They are also to demonstrate ability to use results from practical experiments/lab work in buttressing research findings. Wireless technologies are used in different industrial, private and public sectors and are also certified mainly by the IEEE standards. Students are expected to demonstrate knowledge of these standards and the report should include industries or sectors where chosen wireless technologies are predominantly used, analysis of difference between advertised performance and practical operating conditions. As an engineer, you are required to submit a well-structured technical report detailing the process and outcomes of the above research.

len2205476

1/1/2019 9:19:14 PM

The assignment is designed to provide an opportunity for students to engage in reflective learning through a process of research and peer interaction, while allowing individuals to demonstrate their level of knowledge and understanding in the subject area. Students are expected to demonstrate a good understanding of the key topics associated with the assignment. The report should include evidence of background research and critical appraisal of relevant articles and case studies. Attempts should be made to gather information from a range of sources (book, journals, magazines, newspaper articles, internet etc) with proper acknowledgement.

len2205476

1/1/2019 9:19:10 PM

SUBMISSION REQUIREMENTS: Reports: • Use font 11pt Calibri, written on one side of A4 only, single spacing. • Harvard referencing system must be used. • Page limit: Strictly 12 sides maximum (in total including figures and references). You may add a covering page for information about your name, student number, module name, etc.

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