Section: New Results

Matrix Norm Approach for Control of Linear Time-Delay Systems

Participants : Catherine Bonnet, André Fioravanti [UNICAMP] , José Claudio Geromel [UNICAMP] , Silviu Niculescu.

In [46] , we have treated the time-delay linear systems control design in the framework of complete and partial information. We were able to find linear controllers that increase the first stability window imposing at the same time that the delay-free system is stable using some properties about the norms of the state-space matrices. Our method treated the design problem by numeric routines based on Linear Matrix Inequalities (LMI) arisen from classical linear time invariant system theory coupled together with a unidimensional search. Both the state and output feedback design, were solved.