By Topic

Control constraints, abnormality, and improved performance by periodic control

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

1 Author(s)
Bernstein, Dennis S. ; Harris Corporation, Melbourne, FL, USA

Second-order conditions for steady-state optimality and nonoptimality in a periodic control problem are presented. The main result is a generalization of the π test, a second-order sufficient condition for improved performance by periodic control. Earlier results are generalized in two distinct ways: 1) the control constraint set is only assumed to be convex (and, hence, possibly nonopen) thus allowing the optimal steady-slate control to be an element of the control constraint set boundary; and 2) auxiliary normality conditions are eliminated. Proofs of the results are based upon second-order necessary, conditions for nonlinear programming and optimal control obtained recently in [43] and [44].

Published in:

Automatic Control, IEEE Transactions on  (Volume:30 ,  Issue: 4 )