On the equivalence between dissipativity and optimality of nonlinear hybrid controllers.
In this paper we derive guaranteed hybrid gain, sector, and disk margins for nonlinear optimal and inverse optimal hybrid regulators that minimize a nonlinear-nonquadratic hybrid performance functional. Furthermore, we develop a hybrid return difference inequality to provide connections between dissipativity and optimality of nonlinear hybrid controllers. Specifically, we show that optimal hybrid controllers imply dissipativity with respect to a quadratic supply rate.
|Main Author:||Haddad, Wassim.|
|Other Authors:||Chellaboina, VijaySekhar., Nersesov, Sergey.|