DocumentCode :
1393546
Title :
Global finite-time stabilisation using bounded feedback for a class of non-linear systems
Author :
Du, Honglei ; Qian, Chengshan ; Frye, Michael T. ; Li, Sinan
Author_Institution :
Sch. of Electr. Eng. & Autom., Hefei Univ. of Technol., Hefei, China
Volume :
6
Issue :
14
fYear :
2012
Firstpage :
2326
Lastpage :
2336
Abstract :
In this study, the authors consider the problem of global finite-time stabilisation for a class of non-linear systems by bounded feedback control. First, we use the generalised adding a power integrator and the nested saturation methods to design a saturated homogeneous state feedback controller. Under this bounded controller, a class of non-linear systems comprised of a chain of power integrators perturbed by uncertain bounded non-linearities can be globally stabilised in a finite time. Second, as an application of previous developed results, a bounded finite-time output feedback controller is designed for a class of special non-linear systems, which is comprised by a chain of integrators plus known bounded non-linearities. To estimate the unknown states in a finite time, a finite-time convergent observer is constructed. By substituting the estimated states into the state feedback stabiliser, it can be guaranteed that the closed-loop system is globally finite-time stable.
Keywords :
closed loop systems; control system synthesis; convergence; feedback; nonlinear control systems; observers; stability; uncertain systems; bounded feedback control; bounded finite-time output feedback controller; closed-loop system; finite-time convergent observer; global finite-time stabilisation; nested saturation methods; nonlinear systems; power integrator; saturated homogeneous state feedback controller; state feedback stabiliser; uncertain bounded nonlinearities; unknown state estimation;
fLanguage :
English
Journal_Title :
Control Theory & Applications, IET
Publisher :
iet
ISSN :
1751-8644
Type :
jour
DOI :
10.1049/iet-cta.2011.0626
Filename :
6401243
Link To Document :
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