By Topic

Global finite-time stabilisation using bounded feedback for a class of non-linear systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $31
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

4 Author(s)
Du, H. ; Sch. of Electr. Eng. & Autom., Hefei Univ. of Technol., Hefei, China ; Qian, C. ; Frye, M.T. ; Li, S.

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.

Published in:

Control Theory & Applications, IET  (Volume:6 ,  Issue: 14 )