胡晓明
瑞典皇家理工学院
Description of the course:
The overall goal of the course is to provide a deepened understanding of the fundamental ingredients of linear systems theory and how these are used in analysis and design of control systems. Besides revisiting more classical topics such as reachability, observability, realization and linear quadratic control, we will also discuss several central topics in linear geometric control theory, namely invariant and controlled invariant subspaces, disturbance decoupling, zero dynamics and output regulation. (The course will be lectured in Chinese)
Schedule
| 2020.07.06 腾讯会议ID：807 115 539 | |
| Lecture 1 (15:00~15:45) | Modeling of linear control systems |
| Lecture 2 (16:00~16:45) | Solutions of linear differential equations |
| 2020.07.07 腾讯会议ID：700 118 919 | |
| Lecture 3 (15:00~15:45) | Reachability and linear independence |
| Lecture 4 ( 16:00~16:45) | Reachability for time-invariant Systems |
| 2020.07.08 腾讯会议ID：444 658 868 | |
| Lecture 5 (19:15~20:00) | Observability |
| Lecture 6 (20:15~21:00) | Realizability and rationality |
| 2020.07.09 腾讯会议ID：923 640 540 | |
| Lecture 7 (15:00~15:45) | Minimality and McMillan degree |
| Lecture 8 (16:00~16:45) | Pole placement and controllability |
| 2020.07.10 腾讯会议ID：330 466 997 | |
| Lecture 9 (15:00~15:45) | LQ Control |
| Lecture 10 (16:00~16:45) | LQ Control over infinite time interval |
| 2020.07.13 腾讯会议ID：864 459 439 | |
| Lecture 11 (15:00~15:45) | LQ Control: the question of uniqueness |
| Lecture 12 (16:00~16:45) | Invariant and controlled invariant subspaces |
| 2020.07.14 腾讯会议ID：928 815 010 | |
| Lecture 13 (15:00~15:45) | Reachability subspaces |
| Lecture 14 (16:00~16:45) | Reachability under state constraints |
| 2020.07.15 腾讯会议ID：780 551 484 | |
| Lecture 15 (15:00~15:45) | Disturbance decoupling problem |
| Lecture 16 (16:00~16:45) | Zeros and zero dynamics |
| 2020.07.16 腾讯会议ID：879 360 062 | |
| Lecture 17 (15:00~15:45) | Zero dynamics and system matrix |
| Lecture 18 (16:00~16:45) | Zeros and limitation on the performance |
| 2020.07.17 腾讯会议ID：106 549 813 | |
| Lecture 19 (15:00~15:45) | Output regulation |
| Lecture 20 (16:00~16:45) | Output regulation and zeros |
