Published 2009 | Version Published
Book Section - Chapter Open

Local robust performance analysis for nonlinear dynamical systems

  • 1. ROR icon California Institute of Technology

Abstract

We propose a computational method for local robust performance analysis of nonlinear systems with polynomial dynamics. Specifically, we characterize upper bounds for local L_2 → L_2 input-output gains using polynomial Lyapunov/ storage functions satisfying certain dissipation inequalities and compute safe approximations for these upper bounds via sum-of-squares programming problems. We consider both bounded parametric uncertainties and bounded uncertainties due to unmodeled dynamics

Additional Information

© 2009 AACC. This work was sponsored by the Air Force Office of Scientific Research, USAF, under grant/contract number FA9550- 05-1-0266. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the AFOSR or the U.S. Government. U. Topcu acknowledges partial support from the Boeing Corporation. A. Packard acknowledges partial support from NASA under the contract NNX08AC80A.

Attached Files

Published - Topcu2009p82002009_American_Control_Conference_Vols_1-9.pdf

Files

Topcu2009p82002009_American_Control_Conference_Vols_1-9.pdf

Files (523.8 kB)

Name Size
md5:4298bfffc24607cd1d4e59e4197f8464
523.8 kB Preview Download

Additional details

Identifiers

Eprint ID
18256
Resolver ID
CaltechAUTHORS:20100512-111147051

Funding

Air Force Office of Scientific Research (USAF)
FA9550-05-1-0266
NASA
NNX08AC80A

Dates

Created
2010-05-16
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field