On the Equivalence Between Dissipativity and Optimality of Nonlinear Hybrid Controllers

نویسندگان

  • Wassim M. Haddad
  • VijaySekhar Chellaboina
  • Sergey G. Nersesov
چکیده

ABSTRACT: 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.

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تاریخ انتشار 2004