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|Title:||Simultaneous stabilization and robust control of polynomial nonlinear systems using SOS techniques||Authors:||Xu, J.
Polynomial nonlinear systems
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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