Stability margins of discrete-time nonlinear nonquadratic optimal regulators

Author

Chellaboina, VijaySekhar ; Haddad, Wassim M.

Author_Institution

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

Volume

2

fYear

1998

fDate

16-18 Dec 1998

Firstpage

1786

Abstract

We derive guaranteed gain, sector, and disk margins for discrete-time nonlinear optimal and inverse optimal regulators that minimize a nonlinear nonquadratic performance criterion. The proposed results provide a transparent generalization of the classical discrete-time, linear-quadratic optimal regulator gain and phase margins. Finally, connections are also made between discrete-time control Lyapunov functions and inverse optimality

Keywords

Lyapunov methods; closed loop systems; control system synthesis; discrete time systems; nonlinear control systems; optimal control; stability; state feedback; discrete-time control Lyapunov functions; discrete-time nonlinear nonquadratic optimal regulators; disk margins; inverse optimal regulators; inverse optimality; nonlinear nonquadratic performance criterion; sector margins; stability margins; Aerodynamics; Control systems; Lyapunov method; Nonlinear control systems; Open loop systems; Optimal control; Performance gain; Regulators; Stability; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758555

Filename

758555