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Control Theory (TSRT09)
Exercises
The exercise compendium can be found here.
A basic math primer useful for the exercises is available here.
| Nr. | Subject | Exercises | Homework |
|---|---|---|---|
| 1 | Small gain theorem, linear systems | 1.3, 1.6, 2.2, 2.4 | 1.4, 1.5, 2.3, 2.6 |
| 2 | Linear systems, disturbances | 3.2, 3.8, 3.5, 5.1, 5.3 | 3.1, 3.6, 5.8 |
| 3 | Disturbances, Kalman filter | 5.4a,c,b, 5.6, 5.7 | 5.9 |
| 4 | Tank model, linear system | Computer exercises 5-8 | |
| 5 | Feedback, regulator structure | 6.2, 8.1, 8.2, 8.3 | 8.8 |
| 6 | RGA, LQ | Computer exercises 9, 13, 14 | |
| 7 | LQ, LQG | 8.7, 9.1, 9.3, 9.4 | 9.9 |
| 8 | Kalman filter, LQG | Computer exercises 15-17 | |
| 9 | LQG, loop shaping | 9.8, 10.1, 10.5, 10.2 | 9.7, 10.3, 10.7 |
| 10 | Stability, describing functions | 12.2, 12.4, 14.1, 14.2, 14.4 | 12.6 |
| 11 | Phase plane, exact linearization | 13.1, 13.3, 13.5, 17.1 | |
| 12 | Exact linearization, performance limits | 17.4, 17.5, 7.1, 7.4, 7.6 |
Sketches of the solutions to the computer exercises are available here. Notice that this material is no longer curated and may contain errors (the .mdl files in particular are missing; use the one provided below instead).
Matlab files needed to do the computer exercises from home can be found here.