CaltechAUTHORS
  A Caltech Library Service

ℒ2-Gain of Double Integrators with Saturation Nonlinearity

Gonçalves, Jorge M. (2001) ℒ2-Gain of Double Integrators with Saturation Nonlinearity. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:2001.011

[img]
Preview
PDF
See Usage Policy.

264Kb
[img]
Preview
Postscript
See Usage Policy.

319Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechCDSTR:2001.011

Abstract

This paper uses quadratic surface Lyapunov functions to efficiently check if a double integrator in feedback with a saturation nonlinearity has ℒ2-gain less than γ > 0. We show that for many such systems, the ℒ2-gain is non-conservative in the sense that this is approximately equal to the lower bound obtained by replacing the saturation with a constant gain of 1. These results allow the us of classical analysis tools like μ-analysis or IQCs to analyze systems with double integrators and saturations, including servo systems like some mechanical systems, satellites, hard-disks, CD players, etc.


Item Type:Report or Paper (Technical Report)
Additional Information:The author would like to thank Chung-Yao Kao for helpful comments and suggestions.
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:2001.011
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:2001.011
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:28134
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:24 Mar 2008
Last Modified:26 Dec 2012 14:31

Repository Staff Only: item control page