Linear Matrix Inequalities in Control (2024)

Welcome to Linear Matrix Inequalities in Control

Organizer: John Leth

Lecturers: John Leth, Jan Dimon Bendtsen

ECTS: 2

Date/Time: 18, 19, 20, 21, 22 November 2024

Deadline: 21 Oktober 2024

Max no. Of participants: 50

Description: In this course we will introduce the notion of a Linear Matrix Inequalities (LMI) and explore how this concept can be used for establishing tangible numerical methods for stability and performance of controlled dynamical systems. Stability is the most basic requirement for any controlled dynamical systems - if the closed loop system is perturbed by bounded disturbances, all internal states should remain bounded and eventually converge back to zero if the system is left alone. Once stability is established, one can ask for 'fast transient response', 'disturbance rejection' or similar; these are notions of performance. Stability will in this course be studied through the concept of dissipativity, which is a very fundamental system theoretical feature that relates to the dissipation of (kinetic) energy over time via friction. This is a reference to the classical mechanics-based concept of macroscopic systems such as rigid bodies 'slowing down' in the presence of e.g. air resistance, which in turn helps defining the notion of stability.

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

Important information concerning PhD courses: We have over some time experienced problems with no-show for both project and general courses. It has now reached a point where we are forced to take action. Therefore, the Doctoral School has decided to introduce a no-show fee of DKK 3000 for each course where the student does not show up. Cancellations are accepted no later than 2 weeks before start of the course. Registered illness is of course an acceptable reason for not showing up on those days. Furthermore, all courses open for registration approximately four months before start. This can hopefully also provide new students a chance to register for courses during the year. We look forward to your registrations.