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

An L/sub 2/-gain analysis of piecewise affine systems by piecewise quadratic storage 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

2 Author(s)
Morinaga, E. ; Dept. of Comput.-Controlled Mech. Syst., Osaka Univ., Suita, Japan ; Hirata, K.

Piecewise affine (PWA) systems, which belong to a class of hybrid systems receiving a lot of attention, are useful for describing dynamics of real-world systems. A PWA system, whose dynamic is composed of a finite number of affine dynamics and switching laws, is at an advantage because existing analysis and control methods for linear systems may be applied to the system with a little modification. Based on this concept, in existing literature, some analysis conditions via piecewise quadratic functions were suggested for PWA systems whose switchings of dynamics depend only on their states. The conditions, however, are not satisfactory enough, because real-world systems like control systems with input saturations and dead-zone nonlinearities, which can be frequently described as PWA systems, are usually dominated by switching laws which depend both on their states and on inputs. This paper discusses the L/sub 2/-gain analysis problem via piecewise quadratic storage functions for PWA systems whose switching laws of dynamics depend not only on their states but also on exogenous inputs.

Published in:

American Control Conference, 2004. Proceedings of the 2004  (Volume:6 )

Date of Conference:

June 30 2004-July 2 2004

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.