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Robust stabilization of nonlinear time delay systems using convex optimization

Papachristodoulou, Antonis (2005) Robust stabilization of nonlinear time delay systems using convex optimization. In: 2005 44th IEEE Conference on Decision and Control & European Control Conference. IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 5788-5793. ISBN 0-7803-9567-0 http://resolver.caltech.edu/CaltechAUTHORS:20110816-095058803

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Abstract

We address the problem of robust, global, delay-dependent and delay-independent stabilization of nonlinear time-delay systems with memory state feedback. The methodology we use is based on a linear-like representation of the timedelay system for which we construct appropriate Lyapunov- Krasovskii functionals. The resulting conditions take the form of infinite-dimensional state-dependent Linear Matrix Inequalities which can be treated as sum of squares matrices. The sum of squares program that emerges can then be solved using semidefinite programming and SOSTOOLS, which results in an algorithmic construction of the control law and the Lyapunov- Krasovksii functional. An example is presented that shows the effectiveness of the methodology.


Item Type:Book Section
Related URLs:
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http://dx.doi.org/10.1109/CDC.2005.1583086 DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1583086PublisherUNSPECIFIED
Additional Information:© 2005 IEEE. Issue Date: 12-15 Dec. 2005. Date of Current Version: 30 January 2006. Work financially supported by AFOSR MURI, NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA, the Kitano ERATO Systems Biology Project, and URI “Protecting Infrastructures from Themselves”.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)UNSPECIFIED
NIH/NIGMS AfCS (Alliance for Cellular Signalling)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Kitano ERATO Systems Biology ProjectUNSPECIFIED
URIUNSPECIFIED
Record Number:CaltechAUTHORS:20110816-095058803
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110816-095058803
Official Citation:Papachristodoulou, A.; , "Robust Stabilization of Nonlinear Time Delay Systems Using Convex Optimization," Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on , vol., no., pp. 5788- 5793, 12-15 Dec. 2005 doi: 10.1109/CDC.2005.1583086 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1583086&isnumber=33412
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24878
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Aug 2011 23:19
Last Modified:17 Aug 2011 23:19

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