By Topic

Performance bounds for optimal control of polynomial systems: A convex optimization based 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)
Jennawasin, T. ; Control Syst. Lab., Toyota Technol. Inst., Nagoya, Japan ; Kawanishi, M. ; Narikiyo, T.

An approach for nonlinear optimal control of polynomial systems is considered in this paper. We relax the HJB equation to HJB inequalities and consider solutions of the resulting inequalities in order to compute an upper bound and a lower bound on the cost function. Computation of both the upper bound and lower bound can be cast as robust SDPs, which can be efficiently solved by the existing numerical tools. The idea is based on representation of the given system in a linear-like form. Our approach can be applied to search for polynomial solutions of any degree of the HJB inequalities. Suboptimal controllers are obtained in terms of the solutions of the HJB inequalities.

Published in:

ICCAS-SICE, 2009

Date of Conference:

18-21 Aug. 2009