Higher-order corrections to the pi criterion using center manifold theory Conference Paper

abstract

• The frequency-dependent pi criterion of Bittanti et al. has been used extensively in applications to predict potential performance improvement under periodic forcing in a nonlinear system. The criterion, however, is local in nature and is limited to periodic forcing functions of small magnitude. The present work develops a method to determine higher-order corrections w the pi criterion, derived from basic results of center manifold theory. The proposed method is based on solving the center manifold PDE via recursive Taylor series. The advantage of the proposed approach is the improvement of the accuracy of the pi criterion in predicting performance under larger amplitudes. The proposed method is applied to a continuous stirred tank reactor, where the yield of the desired product must be maximized.

name of conference

• Proceedings of the 41st IEEE Conference on Decision and Control, 2002.

authors

• Kravaris, Costas

published proceedings

• PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4

author list (cited authors)

• Kravaris, C., Thompson, S., & Schwank, J.

citation count

• 5

complete list of authors

• Kravaris, C||Thompson, S||Schwank, J

publication date

• January 2002

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Conference on Decision and Control  Journal

keywords

• Center Manifold Theory
• Nonlinear Systems
• Optimal Periodic Control

Digital Object Identifier (DOI)

• 10.1109/cdc.2002.1184212

International Standard Book Number (ISBN) 10

• 0-7803-7516-5

start page

• 2500

end page

• 2505

volume

• 3

URL

• http://dx.doi.org/10.1109/cdc.2002.1184212