Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

胡晓明, 瑞典皇家理工学院

Inviter:

Title:

Topics in Linear Control Systems

Time & Venue:

2020.07.06/07/08/09/10/13/14/15/16/17 15:00-15:45 腾讯会议

Abstract:

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)

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