ENME303-20S1 (C) Semester One 2020

# Controls and Vibrations

15 points

Details:
 Start Date: Monday, 17 February 2020 End Date: Sunday, 21 June 2020
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Friday, 28 February 2020
• Without academic penalty (including no fee refund): Friday, 29 May 2020

## Description

Design and analysis of feedback control systems for dynamic systems. Focus is on using these tools for design and problem solving using classical feedback control methods, including: Laplace transforms, block diagrams, dynamic response, steady-state error analysis, stability analysis, root locus plots, frequency response analysis.

To lay the foundation of modeling dynamic and vibratory systems in the frequency domain, and the use of such models in dynamic analysis, stability analysis and feedback control systems design. Students will thus gain the ability to interpret and solve problems using classical control methods for continuous time and discrete time systems.

## Learning Outcomes

On successful completion of this course students will be able to:
 Derive equations of motion of mechanical systems (machine elements and machines) and transform them into the Laplace / Frequency domain
 Analyse mechanical systems for linear behaviour and stability (or instability) in the Laplace domain and transform those solutions into the time domain (for analysis or interpretation)
 Analyse vibrating mechanical systems for primary response characteristics (natural frequency, damping), and their response to dynamic excitation in both the time and frequency domains.
 Design and analyse feedback control systems, including assessing their performance in a range of analytical methods (including Bode, Root Locus, Gain and Phase Margin, Routh-Hurwitz, Nyquist plots, and other so-called classical analysis tools)
 Convert systems to state space (time domain) for analysis of vibrations

 More broadly: Take a mechanical system, design the equations of motion, transform solve and analyse it in the frequency domain, design feedback control for desired stability and performance, and interpret the results – The A – to – Z of design, computation, analysis and implementation for feedback control of dynamic systems.
 Broader design, problem solving and analysis skills and experience for dynamic systems
 Use of modern computational tools (Matlab) for design, analysis and problem solving
 Apply these methods and analysis to a wider spectrum of real-life engineering problems

### University Graduate Attributes

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

 Critically competent in a core academic discipline of their award Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

## Timetable 2020

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Thursday 10:00 - 12:00 A2 Lecture Theatre (20/2-19/3)- (23/4-28/5) 17 Feb - 22 Mar 20 Apr - 31 May Lecture B 01 Tuesday 09:00 - 10:00 C2 Lecture Theatre (18/2-17/3)- (24/3, 21/4-26/5) 17 Feb - 29 Mar 20 Apr - 31 May Lecture C 01 Friday 10:00 - 11:00 E8 Lecture Theatre (21/2-20/3)- (24/4-29/5) 17 Feb - 22 Mar 20 Apr - 31 May Drop in Class A 01 Tuesday 12:00 - 13:00 Eng Core 222 & 223 Drawing Office (25/2-17/3)- (24/3, 21/4-26/5) 24 Feb - 29 Mar 20 Apr - 31 May 02 Wednesday 16:00 - 17:00 Eng Core 222 & 223 Drawing Office (26/2-18/3)- (25/3, 22/4-27/5) 24 Feb - 29 Mar 20 Apr - 31 May 03 Thursday 15:00 - 16:00 Rehua 102 (27/2-19/3)- (23/4-28/5) 24 Feb - 22 Mar 20 Apr - 31 May

## Examination and Formal Tests

Activity Day Time Location Test A 01 Wednesday 18:00 - 19:00 27 Apr - 3 May Test B 01 Wednesday 18:00 - 19:00 25 May - 31 May

## Assessment

Assessment Due Date Percentage
Root Locus Assignment 15 May 2020 10%
Bode Assignment 29 May 2020 10%
Test 1 29 Apr 2020 25%
Lab report 01 May 2020 10%
Test 2 27 May 2020 25%
Final Exam 20%

## Textbooks / Resources

Franklin; Powell; Emami-Naeini;; Feedback Control of Dynamic Systems; 3rd Edition; Addison-Wesley, 1994 (On hold at the library).

Najim;; Control of Continuous Linear Systems; (E-book from UoC Library).

Palm; Modeling Analysis and Control of Dynamic Systems; 2nd Edition; Wiley, 1998.

Sheldon et al;; Linear Control System Analysis and Design with Matlab; 6TH; 2014.

Stefani, Raymond T. , Hostetter, G. H; Design of feedback control systems; 3rd ed.; Saunders College Pub/Harcourt Brace Jovanovich College Pub, 1994.

## Additional Course Outline Information

Harassment
* Harassment of any sort will not be tolerated.  Each UC student is here to learn and to experience a friendly and supportive community.
* It is every student's right to expect: respect and courtesy from staff and other students, including freedom from harassment of any sort; fair treatment; the ability to speak out about any issues that concern them, without fear of consequences for their safety and well-being.
* Furthermore, each student has the responsibility to: respect the rights and property of others; attend to their own health and safety, and that of others; and behave in a manner towards each other that does not reflect badly on the student body or the University.
* If you, or someone you know, has experienced harassment, please talk to your lecturers, directors of study, or head of department.

Dishonest Practice
* Plagiarism, collusion, copying, and ghost writing are unacceptable and dishonest practices.
* Plagiarism is the presentation of any material (test, data, figures or drawings, on any medium including computer files) from any other source without clear and adequate acknowledgment of the source.
* Collusion is the presentation of work performed in conjunction with another person or persons, but submitted as if it has been completed only by the named author(s).
* Copying is the use of material (in any medium, including computer files) produced by another person(s) with or without their knowledge and approval.
* Ghost writing is the use of another person(s) (with or without payment) to prepare all or part of an item submitted for assessment.

Do not engage in dishonest practices. The Department reserves the right to refer dishonest practices to the University Proctor and where appropriate to not mark the work.
The University regulations on academic integrity and dishonest practice can be found here.

## Indicative Fees

Domestic fee \$975.00

International fee \$5,500.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mechanical Engineering.