An $H_\infty$ observer for descriptor nonlinear systems with nonlinear output equations

Gridsada Phanomchoeng 1 Ali Zemouche 2, 3 Woongsun Jeon 4 Rajesh Rajamani 4 Frédéric Mazenc 3
1 Chulalongkorn University [Bangkok]
2 CRAN - Centre de Recherche en Automatique de Nancy
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
4 ECE - Department of Electrical and Computer Engineering [Minneapolis]
Abstract : This paper deals with the problem of observer design for a class of descriptor nonlinear systems with nonlinear output measurements. The established result is broad and can be applied to many estimation problems in nonlinear systems, such as unknown input estimation, fault diagnosis and state estimation. Based on the introduction of new assumptions involving a rank condition that specifies a constraint between the numbers of allowed unknown inputs, nonlinear functions, states and the number of measurements, a new Linear Matrix Inequality condition (LMI) for observer design is proposed. The obtained LMI is more general and less conservative, from a feasibility point of view, than those existing in the literature.
Keywords : Descriptor systems analysis nonlinear systems LMIs
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Conference papers
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Gridsada Phanomchoeng, Ali Zemouche, Woongsun Jeon, Rajesh Rajamani, Frédéric Mazenc. An $H_\infty$ observer for descriptor nonlinear systems with nonlinear output equations. American Control Conference, ACC 2018, Jun 2018, Milwaukee, WI, United States. ⟨hal-01849018⟩

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