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Nonlinear Control Synthesis by Sum of Squares Optimization: A Lyapunov-based Approach

Prajna, Stephen and Papachristodoulou, Antonis and Wu, Fen (2004) Nonlinear Control Synthesis by Sum of Squares Optimization: A Lyapunov-based Approach. In: 2004 5th Asian Control Conference. IEEE , Piscataway, N.J., pp. 157-165. ISBN 0-7803-8873-9 http://resolver.caltech.edu/CaltechAUTHORS:20111018-153711433

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Abstract

This paper addresses the state feedback control synthesis problems for nonlinear systems, either without or with guaranteed cost or H_∞ performance objectives. By representing the open-loop nonlinear systems in a state dependent linear-like form and considering a special class of Lyapunov functions, sufficient conditions for the solutions to the above problems can be formulated in terms of state dependent linear matrix inequalities. Semidefinite programming relaxations based on the sum of squares decomposition are then used to efficiently solve such inequalities.


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http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1425952&tag=1PublisherUNSPECIFIED
Additional Information:© 2004 IEEE. Issue Date: 20-23 July 2004. Date of Current Version: 09 May 2005.
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INSPEC Accession Number8401470
Record Number:CaltechAUTHORS:20111018-153711433
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111018-153711433
Official Citation:Prajna, S.; Papachristodoulou, A.; Fen Wu; , "Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach," Control Conference, 2004. 5th Asian , vol.1, no., pp. 157- 165 Vol.1, 20-23 July 2004 doi: 10.1109/ASCC.2004.184761 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1425952&isnumber=30803
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27289
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:18 Oct 2011 22:54
Last Modified:18 Oct 2011 22:54

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