Optimization and Systems Theory Seminar
Friday Januari 22, 2010, 11.00-12.00, Room 3721, Lindstedtsvägen 25

Corentin Briat, ACCESS Linneaus Centre, KTH
E-mail: cbriat@kth.se

From stability analysis to resilient and delay-scheduled control of linear time-delay systems

Nowadays, delays are omnipresent, from biology to economics sciences and communication networks. Models involving delays are called 'time-delay systems' and have attracted more and more interest these past years. This large amount of works has led to a wide arsenal of techniques for analysis and control. This talk aims at providing a glimpse on the field of control of linear time-delay systems. First, the problem of stabilization will be presented with a particular emphasis on the difficulties arising in the derivation of LMI-based solutions. The important role of relaxations will be explained as a tool for obtaining LMI-based results. Finally, different new types of controllers, guaranteed to be resilient with respect to uncertain delay knowledge, will be synthesized. The first class, referred to as 'controllers with memory', implements a delayed term whose delay is different from the system one. The second technique, referred to as 'delay-scheduled control', uses the known delay as a scheduling parameter on the controller gains.

Calendar of seminars Last update: Januari 15, 2010.