Advanced Nonlinear Control Theory (2015)

Description: Virtually all physical systems are nonlinear in nature. Sometimes, it is possible to describe the operation of a physical system by a linear model, e.g., as a set of ordinary linear differential equations. This is the case, for example, if the mode of operation of the physical system does not deviate too much form the nominal set ofmoperating conditions i.e., one can linearize the system. Thus the analysis of linear systems occupies an important place in system theory. But in analyzing the behavior of a physical system, one often encounters situations where the linear (or linearized) model is inadequate or inaccurate; that is the time when concepts of this course may prove useful.

The goal of the course is to address several main subjects in nonlinear control theory. We extend the notion of Lyapunov stability to systems with input i.e., input-to-state stability, show how Lyapunov stability is related to input-output stability and present/apply various nonlinear control design tools; passivity-based control, integral control, Lyapunov redesign.

Prerequisites:
A basic knowledge of mathematics and control theory as obtained through undergraduate engineering studies.

Organizer: Professor Rafael Wisniewski

Lecturers: Professor Rafael Wisniewski and Associate Prof. John Leth

ECTS: 2

Time: 18-20 May 2015

Place: Aalborg University

Zip code:

City:

Number of seats: 50

Deadline: 27 April, 2015