Published December 2005
| public
Book Section - Chapter
Robust stabilization of nonlinear time delay systems using convex optimization
- Creators
- Papachristodoulou, Antonis
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.
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".Additional details
- Eprint ID
- 24878
- Resolver ID
- CaltechAUTHORS:20110816-095058803
- Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)
- NIH/NIGMS AfCS (Alliance for Cellular Signalling)
- Defense Advanced Research Projects Agency (DARPA)
- Kitano ERATO Systems Biology Project
- URI
- Created
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2011-08-17Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
- Series Name
- IEEE Conference on Decision and Control