Title :
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
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;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707290
