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

On Semiglobal Stabilization of Discrete-Time Periodic Systems With Bounded Controls

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)
Bin Zhou ; Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China ; Guang-Ren Duan ; Zongli Lin

This brief revisits the problem of the semiglobal stabilization of discrete-time linear periodic systems with bounded controls. First, a new state feedback solution based on a parametric periodic Riccati equation is established to solve the problem under the condition that the open-loop characteristic multipliers are strictly inside or on the unit circle. Different from our early solution based on the parametric periodic Lyapunov equation, this new solution does not require any state transformation on the open-loop system and is theoretically more appealing. Second, an output feedback solution is presented in this brief, which complements the two state feedback solutions. Third, as a periodic system model, the multirate sampled-data system is considered, and the problem of semiglobal stabilization for such a system subject to input saturation is solved. In doing so, the connections between the semiglobal stabilizability of the original continuous-time system and of the multirate sampled-data system are established. A numerical example is worked out to illustrate the effectiveness of the proposed design.

Published in:

Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:58 ,  Issue: 7 )

Date of Publication:

July 2011

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.