Title :
On the equivalence between dissipativity and optimality of nonlinear hybrid controllers
Author :
Haddad, Wassim M. ; Chellaboina, VijaySekhar ; Neresov, S.G.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
In this paper we derive guaranteed hybrid gain, sector, and disk margins for nonlinear optimal and inverse optimal hybrid regulators that minimize 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
Keywords :
minimisation; nonlinear control systems; optimal control; disk margin; dissipativity; hybrid gain margin; hybrid return difference inequality; inverse optimal hybrid regulators; nonlinear hybrid controller optimality; nonlinear hybrid controllers; nonlinear optimal hybrid regulators; nonlinear-nonquadratic hybrid performance functional minimization; optimal control; quadratic supply rate; sector margin; Aerodynamics; Aerospace engineering; Asymptotic stability; Control nonlinearities; Control systems; Cost function; Equations; Feedback; Optimal control; Regulators;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912054
