Week 2: Modelling and Simulation

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Week 2: Modelling and Simulation

Assignment weighting

25% of 6101 and 30% of 6501

Assignment released

Week 2

Assignment Due and Submission Instructions

Monday of Week 7 (9am).  You must submit the completed assignment to the relevant Blackboard page, via Turnitin, as a single document (Part A + Part B). Your report should be word processed, using minimum size font 11, minimum 2.5cm margins all around. THE ASSIGNMENT MUST BE COMPLETED IN 8 SIDES OF A4 PAPER. NO MARKS WILL BE AWARDED FOR SOLUTIONS BOYOND THE LIMIT OF 8 SIDES.

Penalties for Late Submission

Late submissions will incur the usual penalties of a 5% reduction in the mark for every working day (or part thereof) that the assignment is late and a mark of zero for submission more than 5 working days late.  For more information see:

https://students.sheffield.ac.uk/assessment/results/submission 

Feedback

No later than two weeks after the submission deadline.  The feedback will include the overall mark, individual component marks as well as written comments on performance on the assignment (electronic format).  You will also have the opportunity for one-to-one feedback. General feedback on the whole class performance will also be provided via email and on Blackboard. Note that final marks may be subject to change as a result of unfair means.

Unfair Means

The assignment should be completed individually.  You should not discuss the assignment with other students and should not work together in completing the assignment.  The assignment must be wholly your own work.  References must be provided to any other work that is used as part of this assignment.  Any suspicions of the use of unfair means will be investigated and may lead to penalties.  See https://www.sheffield.ac.uk/new-students/unfair-means for more information.

Special Circumstances

If you have medical or personal circumstances which cause you to be unable to submit this assignment on time or that may have affected your performance, please complete and submit a special circumstances form along with documentary evidence of the circumstances.  See: https://students.sheffield.ac.uk/extenuating-circumstances/explanatory-notes

Help

This assignment briefing, the lecture notes, and the laboratory handouts (all available on Blackboard) provide all the information that is required to complete this assignment.  It is not expected that you should need to ask further questions.  Remember that you need to decide on what is the most appropriate approach to carry out the simulations and present your results.  This is also part of what you are being assessed on and will assess your knowledge and understanding of the taught material.  However, if you need clarifications on the assignment then please feel free to email the relevant lecturer.

Assignment Briefing

This assignment/report will assess your fundamental understanding of systems modelling and simulation, including basic use of MATLAB/Simulink. The assignment is based on the whole content of Week 2

The assignment is divided into two sections: B1) Basic concepts B2) Advanced concepts. The expectation is for section B1 to assess your understanding of the basic concepts in the module and associated learning objectives, while section B2 is to challenge your understanding in more advanced topics.

In your report you need to address all questions in each part, include and justify your working methodology, the resulting Matlab/Simulink plots/diagrams, and brief discussion of the results.

Marking Criteria

This this is the marksheet (below) that will be used to assess the assignment.  The marksheet indicates the marks available for each part of the assignment and also indicates some of the factors that will be used in assessing the quality/correctness of your work.  It is strongly recommended that you study this marksheet before completing the assignment.

Part A

Task 1

Derive a linear approximation mathematical model of the pendulum system shown in Figure 1 to describe the relationship between the torque developed on the mass M and the angle theta between the rod and the vertical plane. State clearly your assumptions and your modelling methodology.

Figure B 1

Task 2

For the mechanical system (simplified car suspension) shown in Figure 2:

a. Derive the mathematical model of the system in terms of ODEs to describe the displacement associated with the three masses M1 (wheel), M2 (chassis) and M3 (car seat), y and z denotes displacement.

b. Represent the system in its matrix form in the Laplace domain.

c. Derive the state space representation of the system and represent it in its state space matrix format.

Clearly show your working methodology and state any assumptions you may make.

Figure B 2

Part B

Task 3

What is a signal flow graph, and how does it compare against the block diagram representation? For the system modelled in Part A, Task 2 derive the signal flow graph (working methodology and diagram).

Task 4

In this part of the assignment the aim is to study the behaviour of a dynamic system, via modelling and simulation methods. Using the handout “Practical simulation experiments in SIMULINK” investigate the system ‘Depth Control for a Torpedo’ and carry out all tasks in the lab sheet.

For the simulation system, in your report you should include 1) A brief introduction to the system and its modelling. 2) your main results obtained – with justifications of work when necessary (calculations, Simulink figures, signal plots) from completing each task as in the lab sheet, and 3) a brief conclusion section that summarises the analysis of the system.

ACS6101 students may wish to explore the impact of the choice of integration method on their simulation results.