Title
Local Performance Analysis Of Uncertain Polynomial Systems With Applications To Actuator Saturation
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.
Year
DOI
Venue
2011
10.1109/CDC.2011.6161016
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
Keywords
Field
DocType
rate limiting,mathematical model,actuators,upper bound,polynomials
Mathematical optimization,Polynomial,Control theory,Dissipation,Upper and lower bounds,Quadratic equation,Mathematics,Actuator saturation,Actuator
Conference
ISSN
Citations 
PageRank 
0743-1546
3
0.49
References 
Authors
3
3
Name
Order
Citations
PageRank
Abhijit Chakraborty1101.37
Pete Seiler235456.78
Gary J. Balas334547.33