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Analysis and Control of Nonlinear Mobile Systems

Analysis and Control of Nonlinear Mobile Systems

Xiaoming Hu

KTH Royal Institute of Technology

 

Description of the course:This course gives an overview on nonlinear dynamical systems, in particular mobile systems, presented from systems and control point of view. In this course, both analysis and synthesis techniques will be covered. Thus it is very suitable for students who want to have a basic understanding of nonlinear systems. We plan to cover a range of topics on nonlinear systems such as modeling, approximation methods, periodic solutions, Lyapunov stability, controllability and observability, feedback stabilization, optimal filtering and optimal control.

 

Schedule

2016.07.04 (Mon.) Room:N602

Lecture 1 (9:00~10:00)

Introduction of nonlinear mobile systems

Lecture 2 (10:10~11:10)

Mathematical preparations

2016.07.05 (Tue.) Room:N602

Lecture 3 (9:00~10:00)

Rigid body motion

Lecture 4 (10:10~11:10)

Manipulator dynamics

2016.07.06 (Wed.) Room:N602

Lecture 5 (9:00~10:00)

Periodic motions

Lecture 6 (10:10~11:10)

Stability theory

2016.07.07 (Thu.) Room:N208

Lecture 7 (9:00~10:00)

Center manifold theory

Lecture 8 (10:10~11:10)

Singular perturbation and non-smooth systems

2016.07.08 (Fri.) Room:N514

 

Lecture 9 (09:00~10:00)

Nonlinear controllability

Lecture 10 (10:10~11:10)

Perception and observability

2016.07.11 (Mon.) Room:N602

Lecture 11 (9:00~10:00)

Normal form and zero dynamics

Lecture 12 (10:10~11:10)

Local feedback stabilization

2016.07.12 (Tue.) Room:N602

Lecture 13 (9:00~10:00)

Global feedback stabilization

Lecture 14 (10:10~11:10)

Stabilization using small inputs

Lecture 15 (15:00~16:00)

Exact linearization

Lecture 16 (16:10~17:10)

Kalman filters

2016.07.13 (Wed.) Room:N514

Lecture 17 (9:00~10:00)

Extended Kalman filters

Lecture 18 (10:10~11:10)

PMP: optimal control to a manifold

 

Final exam: 14:00-17:00, July 14  N205

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Xiaoming Hu was born in Chengdu, China. He received the B.S. degree from University of Science and Technology of China in 1983. He received the M.S. and Ph.D degrees from Arizona State University in 1986 and 1989 respectively. He served as a research assistant at the Institute of Automation, Chinese Academy of Sciences, from 1983 to 1984. From 1989 to 1990 he was a Gustafsson Postdoctoral Fellow at the Royal Institute of Technology, Stockholm, where he is currently a professor. His main research interests are in nonlinear feedback stabilization, nonlinear observer design, sensing and active perception, motion planning and control of mobile robots, and mobile manipulation.

 

参加此课程的博士生在课程结束后完成相关试卷,可作为博士生课程

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