Welcome to MATH4406/MATH7406, Mathematical Control Theory @ UQ. The current (2016) edition of the course focuses on linear control theory. It also includes a touch of classic engineering control as well as variants of optimal control.
This year (2016), the course is taught at UQ and broadcasted (upon demand) through the AMSI ACE network. Lectures take place Wedensdays and Thursdays, 10--12 Brisbane time. The official UQ course profile provides minimal information about the course. More detailed information is available through the AMSI Subject Information Guide.
The course contains 9 units:| Unit Number | Title | Lecture Hours | Assesment | Content |
| 1 | Introduction | 2 hours | Final Report | Introduces basic notions and applications in control engineering and mathematical control theory. |
|---|---|---|---|---|
| 2 | Stochastic Dynamic Programming (SDP) | 2 hours | Assignment 1, Final Report | Gives a minimal taste of Markov Decision Processes (MDP). |
| 3 | Physical Models | 4 hours | Assignment 1, Quiz 1, Final Report | Develop and simulate basic physical, chemical and electrical models (equations). These models are then used in the rest of the course. |
| 4 | LTI (Linear Time Invariant systems) | 6 hours | Assignment 2, Quiz 2, Final Report | Introduce the basic mathematics of signals and systems and LTI systems as well as a glimpse to the engineering methods associated with LTI. This culminates with analysis of the PID controller. |
| 5 | LDS (Linear Dynamical Systems) | 6 hours | Assignment 3, Quiz 3, Final Report | Dynamical systems (ODEs). Linear Dynamical Systems. Time Invariant Linear Dynamical Systmes. The Matrix Exponential. Resolvent. Stability. |
| 6 | LCT 1 (Linear Control Theory - Part 1) | 8 hours | Assignment 4, Quiz 4, Final Report | Controllability, Observabillity, State-Feedback, Observer, Linear Quadratic Optimal Control. |
| 7 | LCT 2 (Linear Control Theory - Part 2) | 8 hours | Assignment 5, Quiz 5, Final Report | Kalman Decomposition, Controlelr Design for MIMO Systems, Kalman Filtering, Realization Theory. |
| 8 | Engineering Guest Lectures | 4 hours | Final Report | |
| 9 | Closing | 2 hours | Final Report |
| Week | Date (of Monday) | Wednesday 10--12 | Thursday 10--12 | Weekend | Material and Additional Links |
| 1 | 25/7 | Intro | SDP | Ass 1 | HW1.pdf |
| 2 | 1/8 | Models | Models | Ass 1 | |
| 3 | 8/8 | No Lecture "Ekka" | Ass 1 Due, Quiz 1 (Models), LTI | -- | |
| 4 | 15/8 | Quiz 1 Discussion, LTI | LTI | Ass 2 | |
| 5 | 22/8 | LTI | LDS | Ass 2 | |
| 6 | 29/8 | LDS | Ass 2 Due, Quiz 2 (LTI), LDS | -- | |
| 7 | 5/9 | Quiz 2 Discussion, LDS | LCT-I | Ass 3 | |
| 8 | 12/9 | LCT-I | LCT-I | Ass 3 | |
| 9 | 19/9 | LCT-I | Ass 3 Due, Quiz 3 (LDS), Guest Lecture | Ass 4 | |
| 26/9 is semester break week. | Ass 4. | ||||
| 10 | 3/10 | Quiz 3 Discussion, LCT-II | Ass 4 Due, Quiz 4 (LCT I), LCT-II | Ass 5 | |
| 11 | 10/10 | Quiz 4 Discussion, LCT-II | LCT-II | Ass 5 | |
| 12 | 17/10 | LCT-II | Ass 5 Due, Quiz 5 (LCT II), Guest Lecture | Final Report | |
| 13 | 24/10 | Quiz 5 Discussion, Guest Lecture | Guest Lecture / Closing | Final Report |