Gonçalves, Jorge M. (2003) L_2-Gain of Double Integrators with Saturation Nonlinearity. In: Triennial world congress of the International Federation of Automatic Control. Elsevier IFAC Publications. Vol.35. Pergamon , Oxford, pp. 121-126. ISBN 9780080442242. https://resolver.caltech.edu/CaltechAUTHORS:20170710-131412301
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Abstract
This paper uses quadratic surface Lyapunov functions to efficiently check if a double integrator in feedback with a saturation nonlinearity has £_2-gain less than y > 0. We show that for many of such systems, the £_2-gain is non-conservative in the sense that they are approximately equal to the lower bound obtained by lacing the saturation with a constant gain of 1. These results allow the use of classical analysis tools like p-analysis or IQCs to analyze systems with double integrators and saturations, including seru, systems like some mechanical systems, satellites, hard-disks, CD players, etc.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2002 IFAC. The author would like to thank Chung-Yao Kao for helpful comments and suggestions. | |||||||||
| Subject Keywords: | Robust Analysis, Saturations, Double Integrator, Quadratic Surface Ly apunov Functions | |||||||||
| Series Name: | Elsevier IFAC Publications | |||||||||
| DOI: | 10.3182/20020721-6-ES-1901.00355 | |||||||||
| Record Number: | CaltechAUTHORS:20170710-131412301 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170710-131412301 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 78899 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 11 Jul 2017 22:15 | |||||||||
| Last Modified: | 15 Nov 2021 17:44 |
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