Observer-based model reference control of Takagi-Sugeno-Lipschitz systems affected by disturbances using quadratic boundedness

In this paper, a model reference control strategy is proposed in order to perform trajectory tracking in Takagi–Sugeno–Lipschitz (TSL) systems. Since the state vector is assumed not to be completely available for measurement, a proportional observer is added to the control scheme in order to apply a...

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Detalhes bibliográficos
Autores: Yang, Ruicong, Rotondo, Damiano|||0000-0002-8855-5582, Puig Cayuela, Vicenç|||0000-0002-6364-6429
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/336897
Acesso em linha:https://hdl.handle.net/2117/336897
https://dx.doi.org/10.1002/asjc.2391
Access Level:acceso abierto
Palavra-chave:Automatic control
Control automàtic
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
Descrição
Resumo:In this paper, a model reference control strategy is proposed in order to perform trajectory tracking in Takagi–Sugeno–Lipschitz (TSL) systems. Since the state vector is assumed not to be completely available for measurement, a proportional observer is added to the control scheme in order to apply an estimate-feedback control action instead of a state-feedback one. The overall design of both the controller and the observer gains are performed using a Lyapunov-based quadratic boundedness specification, in order to improve the robustness against unknown exogenous disturbances. It is shown that the conditions that ensure convergence within ellipsoidal regions of the tracking and estimation errors can be expressed in the form of a linear matrix inequality (LMI) formulation. The effectiveness of the developed control strategy is demonstrated by means of simulation results.