Stabilization of nonlinearly parameterized discrete-time systems by NLS algorithm

Author

Chanying Li ; Chen, Michael Z. Q.

Author_Institution

Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2155

Lastpage

2160

Abstract

This paper addresses the challenging problem of designing an adaptive feedback strategy for the stabilization of a class of nonlinearly parameterized uncertain systems in discrete time. The nonlinear least squares (NLS) algorithm is applied to estimate the unknown parameters, and a sufficient condition is proposed to ensure the strong consistency of the estimator. Based on the NLS algorithm, the global stability of the system is achieved under the output feedback design.

Keywords

adaptive systems; control system synthesis; discrete time systems; feedback; least mean squares methods; nonlinear control systems; uncertain systems; NLS algorithm; adaptive feedback strategy; global stability; nonlinear least squares algorithm; nonlinearly parameterized discrete time system; nonlinearly parameterized uncertain system; output feedback design; stabilization; sufficient condition; unknown parameter estimation; Algorithm design and analysis; Control systems; Feedback control; Mathematical model; Noise; Stochastic processes; Uncertain systems; Discrete-time systems; NLS algorithm; Nonlinearly parameterized systems; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896965

Filename

6896965