Scheduled System Maintenance on May 29th, 2015:
IEEE Xplore will be upgraded between 11:00 AM and 10:00 PM EDT. During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

H control of switched homogeneous nonlinear systems — Semi-tensor product of matrices method

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)
Zhang Lijun ; Coll. of Autom., Harbin Eng. Univ., Harbin, China ; Zhang Kuize

This paper investigates the problems of L2 stability and H control problem of a class switched homogeneous nonlinear system via the semi-tensor product (STP) of matrices method. First, a homogeneous Lyapunov-like function in the form of STP is constructed. Based on this, the system in question is limited on to the unit sphere to be investigated, a switching law is designed to make sure that the normal system that is globally asymptotically stable is globally L2 stable either. By the former Lyapunov-like function and the designed switching law, the H control problem of the considered system is reduced into a Riccati-like one via the STP of matrices method, thus a control law similar to that of linear system is designed.

Published in:

Control Conference (CCC), 2010 29th Chinese

Date of Conference:

29-31 July 2010