Local performance analysis of uncertain polynomial systems with applications to actuator saturation

Abhijit Chakraborty, Peter J Seiler Jr, Gary J. Balas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

This paper considers the local performance analysis of uncertain polynomial systems. A method for estimating an upper bound of the local L 2 → L 2 gain is presented. The gain upper bound condition is formulated in terms of a dissipation inequality that incorporates an integral quadratic constraint to model the uncertainty. For polynomial systems, the dissipation inequality can be verified using sum-of-squares optimizations. This approach is applied to systems with actuator position and rate limits. The effectiveness of the proposed method is demonstrated on two numerical examples.

Original languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages8176-8181
Number of pages6
DOIs
StatePublished - Dec 1 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

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