Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties

Author

Hong, Yiguang ; Jiang, Zhong-Ping

Author_Institution

Inst. of Syst. Sci., Acad. Sinica, Beijing

Volume

51

Issue

12

fYear

2006

Firstpage

1950

Lastpage

1956

Abstract

In this note, non-smooth finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties is investigated. To solve this problem, the input-to-state stability property is used to characterize unmeasured dynamic uncertainties. A constructive partial-state control design is proposed on the basis of involved combined use of Lyapunov, backstepping and input-to-state stability techniques. Under small-gain type local conditions, a solution for the finite-time regulation of a class of uncertain nonlinear systems is obtained

Keywords

Lyapunov methods; nonlinear control systems; stability; uncertain systems; Lyapunov techniques; backstepping techniques; dynamic uncertainties; input-to-state stability; nonlinear systems; nonsmooth finite-time stabilization; parametric uncertainties; Backstepping; Control design; Control systems; Force control; Nonlinear control systems; Nonlinear systems; Programmable control; Robust control; Stability; Uncertainty; Dynamic uncertainties; finite-time convergence; input-to-state stability (ISS); nonsmooth feedback; parametric uncertainties;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.886515

Filename

4026648