Welcome to Geometric Linear Control Theory

Description: In this course, we will study fundamental concepts related to (finite dimensional) linear time-invariant control system such as
controllability, observability and stabilizability. These basic concepts
will be introduced via the "geometric approach" meaning that they will
be related to various subspaces related to the matrices appearing in the
system equations. This approach will enable us to introduce the
important notion of (A,B)-invariant subspace (and its dual concept,
(C,A)-invariant subspace), which will be used to solve the disturbance
decoupling problem and problem of tracking and regulation. Moreover, the notion of (A,B)-invariant subspace and (C,A)-invariant subspace also turn out to be instrumental in other synthesis problems like observer design, system invertibility, the minimum phase property, and output stabilizability.

A basic knowledge of mathematics as obtained through undergraduate engineering studies. Knowledge of control is an advantage but not a prerequisite.

Organizer: Assistant Professor John Leth, Automation & Control AAU

Lecturers: Assistant Professor John Leth, Automation & Control AAU
Associate Professor Mihaly Petreczky, Univ Lille Nord de France, Lille, France and Professor Rafael Wisniewski, Automation & Control, AAU


Time: 18-22 August, 2014
Place: Aalborg University

Zip code: 9220

City: Aalborg

Number of seats: 50

Deadline: 28 July, 2014