Simultaneous stabilization and robust control of polynomial nonlinear systems using SOS techniques

Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2009.2022108

Title:	Simultaneous stabilization and robust control of polynomial nonlinear systems using SOS techniques
Authors:	Xu, J. Xie, L. Wang, Y.
Keywords:	Nonlinear control Polynomial nonlinear systems Simultaneous stabilization Sum of squares (SOS)
Issue Date:	2009
Citation:	Xu, J., Xie, L., Wang, Y. (2009). Simultaneous stabilization and robust control of polynomial nonlinear systems using SOS techniques. IEEE Transactions on Automatic Control 54 (8) : 1892-1897. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2009.2022108
Abstract:	This technical note is concerned with the simultaneous stabilization and robust performance control for a class of polynomial nonlinear systems. Building on the tenets of state-dependent polynomial Lyapunov functions, we present sufficient conditions for simultaneous stabilization with and without H∞ performance. These conditions can be verified by the recently developed sum of squares technique which essentially solves a linear matrix inequality feasibility problem. © 2009 IEEE.
Source Title:	IEEE Transactions on Automatic Control
URI:	http://scholarbank.nus.edu.sg/handle/10635/117158
ISSN:	00189286
DOI:	10.1109/TAC.2009.2022108
Appears in Collections:	Staff Publications

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