Please use this identifier to cite or link to this item: https://doi.org/10.1109/CDC.2007.4434299
Title: A SOS-based approach to residual generators for discrete-time polynomial nonlinear systems
Authors: Xu, J. 
Lum, K.Y. 
Loh, A.P. 
Xie, L.
Keywords: Bilinear matrix inequality (BMI)
Fault detection
H∞ filter
Linear matrix inequality (LMI)
Nonlinear matrix inequality (NLMI)
Nonlinear systems
Sum of squares (SOS)
Issue Date: 2007
Source: 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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