Stabilization of uncertain chained form systems within finite settling time

Author

Hong, Yiguang ; Wang, Jiankui ; Xi, Zairong

Author_Institution

Inst. of Syst. Sci., Acad. of Math. & Syst. Sci., Beijing, China

Volume

50

Issue

9

fYear

2005

Firstpage

1379

Lastpage

1384

Abstract

This note considers finite time stabilization of uncertain chained form systems. The objective is to design a nonsmooth state feedback law such that the controlled chained form system is both Lyapunov stable and finite-time convergent within any given settling time. We propose a novel switching control strategy with help of homogeneity, time-rescaling, and Lyapunov-based method. Also, the simulation results show the effectiveness of the proposed control design approach.

Keywords

Lyapunov methods; control system synthesis; convergence; stability; state feedback; switching; uncertain systems; Lyapunov stability; Lyapunov-based method; control design; finite settling stabilization; finite-time convergence; nonsmooth state feedback law design; switching control; time-rescaling; uncertain chained form system stabilization; Bifurcation; Chaos; Control design; Control system synthesis; Control systems; Convergence; Eigenvalues and eigenfunctions; Feedback; Lyapunov method; Polynomials; Chained form systems; Lyapunov stability; finite time convergence; time-rescaling; uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.854620

Filename

1506947