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
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