Section: New Results

Reduced order $H_{\infty }$-controllers synthesis with explicit constraints handling

Participants : Guillaume Sandou [correspondent] , Gilles Duc [Suplec (E3S), Control Department] , Mohamed Yagoubi [Ecole des Mines de Nantes] .

Efficient dedicated methods have been developed for Hinfinity controller synthesis. However, such methods require translating the design objectives using weighting filters, whose tuning is not easy; in addition they lead to high order controllers which have to be reduced. Previous works have dealt with these two problems separately with the help of Particle Swarm Optimization: optimization of filter tunings for a full order synthesis and reduced order synthesis with fixed filters. In recent works, we have considered the solution to both problems in one shot. The constraints of the problem are explicitly taken into account in the synthesis problem, thanks to the use of Particle swarm optimization which does not require any specific expression for costs and constraints [63] .