Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6896965