ELECTENG 722 : Modern Control Systems

Engineering

2024 Semester One (1243) (15 POINTS)

Course Prescription

State space analysis, relationship to transfer function methods, controllability and observability, multivariable plant. Computer simulation. Stability considerations. State variable feedback. Digital control system, design and realisation of digital controllers, adaptive controllers. Nonlinear systems, phase-plane and describing function techniques, Lyapunov's method of stability analysis, design of controllers for non-linear systems. Variable structure systems.

Course Overview

Main contents of this course:
– Philosophy of state variable modelling
– Analysis of linear time invariant systems using state space models
– Concept of controllability, observability
– Merits of state feedback controllers by pole placement
– State estimation using both observer and Kalman filter
– Linear Quadratic Gaussian (LQG) approach to controller design
– Importance of discrete time controllers
– Mathematical tools such as z-transform and inverse z-transform which are needed for analysis and design of discrete time controllers.
– Stability of discrete time system
– Controller design in discrete domain
– Important features of nonlinear systems
– Singular points of nonlinear systems
– Prediction of limit cycle oscillations
– Bifurcation phenomenon of nonlinear systems

Course Requirements

Prerequisite: ELECTENG 303 or 331 or 332 Restriction: ELECTENG 422, MECHENG 720, 724

Capabilities Developed in this Course

Capability 3: Knowledge and Practice
Capability 4: Critical Thinking
Capability 5: Solution Seeking

Learning Outcomes

By the end of this course, students will be able to:
  1. Model physical system by state variable models (Capability 3.1, 4.1 and 5.1)
  2. Analyse system behaviour and extract useful information about the system physics from state variable model (Capability 3.1, 4.1 and 5.1)
  3. Investigate controllability and observability properties of linear systems (Capability 3.1, 3.2, 4.1 and 4.2)
  4. Design state feedback controllers using pole placement, LQR, LQG (Capability 3.1, 3.2, 4.1 and 5.1)
  5. Design various state feedback controllers in discrete domain. (Capability 3.1, 4.1 and 4.2)
  6. Analyse nonlinear systems using both phase plane and describing point methods including the bifurcation analysis (Capability 3.1 and 4.1)

Assessments

Assessment Type Percentage Classification
Assignments 30% Individual Coursework
Final Exam 70% Individual Examination
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6
Assignments
Final Exam

Workload Expectations

This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.

For this course, you can expect  36 hours of lectures, a 10 hour tutorial, 50 hours of reading and thinking about the content and 54 hours of work on assignments and/or test preparation.

Delivery Mode

Campus Experience

Attendance is required at scheduled activities including labs/tutorials/studios/clinics to complete/receive credit for components of the course.
Lectures will be available as recordings. Other learning activities including seminars/tutorials/labs/studios will not be available as recordings.
The course will not include live online events including group discussions/tutorials.
Attendance on campus is required for the  test/exam.
The activities for the course are scheduled as a standard weekly timetable/block delivery.

Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

Recommended Text Books:
1. Ogata, K. “ Modern Control Engineering”, Prentice Hall, Englewood Cliffs, NJ
2. Nise, N.S. “ Control system Engineering”, John Wiley & Sons, INC.
3. Khalil, H. “ Nonlinear Systems” , Prentice Hall
4. Slotine, Jean-Jacques E and Li, Weiping, “Applied Nonlinear Control “, Prentice Hall, Englewood Cliffs, New Jersey.

Health & Safety

Students must ensure they are familiar with their Health and Safety responsibilities, as described in the university's Health and Safety policy.

Student Feedback

At the end of every semester students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions.

Your feedback helps teachers to improve the course and its delivery for future students.

Class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

We continually update the course content as well as the delivery mode based on students' feedback.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed for potential plagiarism or other forms of academic misconduct, using computerised detection mechanisms.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website http://disability.auckland.ac.nz

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.

This should be done as soon as possible and no later than seven days after the affected test or exam date.

Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html.

Disclaimer

Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.