New Strategies in robust feedback control designDominikus Noll.
Universite Paul Sabatier.
Mathematiques pour l'Industrie et la Physique, Toulouse.
Wednesday, February 4, 10:30 CERFACS Conference Room
Stabilizing feedback control is a central part of most complex engineering devices. Automated compensators are familiar in aircraft attitude control, satellite and space navigation, in mecanical or physical and chemical process engineering. And even our cars are more and more stuffed with compensators to enhance security and comfort. In this talk we address linear (and linearizing) dynamic and static output feedback control design.
During the 1980s, H²- and H°°-feedback controllers were computed via algebraic Ricatti equations. With the 1990s, a new and more flexible approach to controller synthesis emerged. Linear matrix inequalities (LMIs) were re-discovered and successfully applied to a large number of design problems in automatic control. Solutions were computed by semidefinite programming (SDP).
But the story is not over. A more recent evolution in output feedback control is robust H²- and H°° -controller design, whose significance we will demonstrate. We show that robust design requires new and very different algorithmic solutions based on nonlinear semidefinite programming. We present some of the latest ideas in this field.
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