Cart (Loading....) | Create Account
Close category search window
 

Design of H Gain-Scheduled Controllers for Linear Time-Varying Systems by means of Polynomial Lyapunov Functions

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 $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)
Montagner, V.F. ; Sch. of Electr. & Comput. Eng., Campinas Univ. ; Oliveira, R.C.L.F. ; Peres, P.L.D.

This paper proposes convex conditions to design parameter-dependent (i.e. gain-scheduled) state feedback controllers that ensure closed-loop stability with H, performance for linear systems affected by time-varying parameters that belong to a polytope and have bounded time-derivatives. The conditions, based on homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree, are expressed as a set of linear matrix inequalities written in terms of the vertices of the polytope, the bounds on the rates of parametric variations and the degree of the Lyapunov function. Differently from other gain-scheduled strategies in the literature, all the system matrices here are supposed to be affected by time-varying parameters and the control gains are obtained from a finite dimension convex optimization problem, which avoids to cope with nonlinear matrix inequalities and does not require the use of gridding procedures in the space of the parameters. Numerical results illustrate the efficiency of the proposed conditions, providing progressively less conservative results as the degree of the Lyapunov function increases

Published in:

Decision and Control, 2006 45th IEEE Conference on

Date of Conference:

13-15 Dec. 2006

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.