High-gain interval observer for continuous–discrete-time systems using an LMI design approach

In this paper, a high-gain interval observer (HGIO) for a class of partially linear continuous-time systems with sampled measured outputs in the presence of bounded noise and additive disturbances is proposed. The design of the HGIO is formulated in the Linear Matrix Inequality (LMI) framework. The...

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Detalles Bibliográficos
Autores: Thabet, Rihab el Houda, Ahmed Ali, Sofiane, Puig Cayuela, Vicenç|||0000-0002-6364-6429
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/384281
Acceso en línea:https://hdl.handle.net/2117/384281
https://dx.doi.org/10.1080/00207721.2022.2067912
Access Level:acceso abierto
Palabra clave:Control theory
High-gain observerinterval observer
Continuous–discrete-time system
Bounded uncertainty
Control, Teoria de
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
Descripción
Sumario:In this paper, a high-gain interval observer (HGIO) for a class of partially linear continuous-time systems with sampled measured outputs in the presence of bounded noise and additive disturbances is proposed. The design of the HGIO is formulated in the Linear Matrix Inequality (LMI) framework. The gain of the HGIO is designed to satisfy the cooperative property using a time-varying change of coordinates based on pole placement in separate LMI regions. Moreover, a procedure for designing the HGIO gain to minimise the effect of the noise and disturbance in the estimation is provided. The stability of the proposed HGIO is also guaranteed. The proposed approach is assessed in simulation using a numerical example.