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.

Prerequisites:

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**ECTS:** 4**Time:** 18-22 August, 2014

**Place:** Aalborg University**Zip code:** 9220**City:** Aalborg**Number of seats: **50**Deadline:** 28 July, 2014

- Teacher: John-Josef Leth
- Teacher: Mihaly Petreczky
- Teacher: Rafal Wisniewski