Nonlinear system stabilization via equilibria-dependent Lyapunov functions: beyond gain scheduling control

Author

Leonessa, Alexander ; Haddad, Wassim M. ; Chellaboina, Vijaya-Sekhar

Author_Institution

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

Volume

3

fYear

1998

fDate

21-26 Jun 1998

Firstpage

1669

Abstract

In this paper a novel Lyapunov-based nonlinear control design framework guaranteeing stability for a parametrized set of system equilibria is developed. Specifically, using equilibria-dependent Lyapunov functions we construct a nonlinear control strategy that stabilizes a given nonlinear system, and additionally provides an explicit expression for a guaranteed domain of attraction. The proposed framework provides a rigorous foundation for designing gain scheduled feedback controllers guaranteeing closed-loop system stability over a range of system operating conditions

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; feedback; nonlinear control systems; robust control; Lyapunov functions; asymptotic stability; closed-loop system; feedback; gain scheduling; nonlinear control systems; stabilization; Aerodynamics; Control design; Control nonlinearities; Control systems; Dynamic scheduling; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.707290

Filename

707290