By Topic

Robust ℒ2 control for a class of nonlinear systems: A parameter varying Lyapunov function approach

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
$33 $13
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

3 Author(s)
M. Ezzeldin ; Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, The Netherlands ; S. Weiland ; P. P. J. van den Bosch

The problem of robustly stabilizing a class of nonlinear systems by using an ℒ2 state feedback based controller is proposed. A class of nonlinear systems is approximated by a Takagi-Sugeno (T-S) model. A robust stabilization technique is proposed to override the effect of approximation error between the original nonlinear system and the approximated T-S model. A sufficient condition is derived to ensure the robust stability of the ℒ2 state feedback based controller with guaranteed disturbance attenuation level. Unlike the approaches using a single quadratic Lyapunov function, a parameter varying quadratic Lyapunov function is employed in our approach. A transformation is presented to formulate the problem in terms of a linear matrix inequality problem for which efficient optimization techniques are available. A simulation example of an inverted pendulum on a cart illustrates the performance and the validity of the proposed approach.

Published in:

Control & Automation (MED), 2011 19th Mediterranean Conference on

Date of Conference:

20-23 June 2011