Optimal nonlinear switching control

Author

Leonessa, Alexander ; Haddad, Wassim M. ; Chellaboina, VijaySekhar

Author_Institution

Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

5

fYear

1999

fDate

1999

Firstpage

5158

Abstract

A nonlinear control-system design framework predicated on an optimal hierarchical switching controller architecture is developed. Specifically, the hierarchical controller is parametrized with respect to a given system equilibrium manifold wherein an inverse optimal morphing strategy is constructed to coordinate the hierarchical switching. The overall approach is quite different from the quasi-variational inequality methods for optimal switching systems developed in the literature in that our results provide hierarchical homotopic feedback controllers guaranteeing closed-loop stability via an underlying Lyapunov function

Keywords

Lyapunov methods; closed loop systems; control system synthesis; feedback; hierarchical systems; nonlinear control systems; optimal control; stability; variational techniques; Lyapunov function; closed-loop systems; hierarchical switching control; homotopic feedback; inverse optimal morphing; nonlinear control-system; optimal control; stability; variational technique; Adaptive control; Aerospace engineering; Control design; Control systems; Lyapunov method; Manifolds; Nonlinear control systems; Optimal control; Stability; Switching systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833371

Filename

833371