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|Title:||A SOS-based approach to residual generators for discrete-time polynomial nonlinear systems||Authors:||Xu, J.
|Keywords:||Bilinear matrix inequality (BMI)
Linear matrix inequality (LMI)
Nonlinear matrix inequality (NLMI)
Sum of squares (SOS)
|Issue Date:||2007||Citation:||Xu, J.,Lum, K.Y.,Loh, A.P.,Xie, L. (2007). A SOS-based approach to residual generators for discrete-time polynomial nonlinear systems. Proceedings of the IEEE Conference on Decision and Control : 372-377. ScholarBank@NUS Repository. https://doi.org/10.1109/CDC.2007.4434299||Abstract:||This paper mainly discusses the residual generation problem for discrete-time polynomial nonlinear systems with unknown inputs. By employing state-dependent polynomial Lyapunov functions, sufficient conditions for fault detection using ℓ2-gain performance indices are presented in terms of nonlinear matrix inequalities (NMIs). We show that those NMIs can be solved by the recently developed technique named sum of squares (SOS), which essentially is an LMI feasibility problem. © 2007 IEEE.||Source Title:||Proceedings of the IEEE Conference on Decision and Control||URI:||http://scholarbank.nus.edu.sg/handle/10635/83424||ISBN:||1424414989||ISSN:||01912216||DOI:||10.1109/CDC.2007.4434299|
|Appears in Collections:||Staff Publications|
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