MINES ParisTech CAS - Centre automatique et systèmes

On feedback control of switches and oscillators based on dominance theory

Thursday 9th July 2020 at 2pm

Fulvio Forni, University of Cambridge, UK

The seminar shows how to use feedback to steer stable systems into switches and oscillators, in spite of uncertainties. The approach is based on the dominance theory and differential dissipativity. We revisit those theories and we show how classical tools like root locus and Nyquist diagrams provide insights on the controller structure and on gain tuning for nonlinear control. Then we derive controllers in a systematic way, using linear matrix inequalities. This also enables the design of the dissipativity features of the closed-loop system, to tackle interconnections and uncertainties.