Transforming variable transport delays into fixed ones: an application to a conveyor belt problem
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Universidade Federal de Minas Gerais
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This paper presents a systematic methodology to deal with variable transport delays by constructing a new discrete domain where the delay becomes fixed (a difference of samples). The Euler transformation is used to change from the continuous-time domain to this special discrete domain depending on the same variable as the transport delay. After this transformation, the model becomes nonlinear and the Takagi-Sugeno fuzzy representation is used to handle the nonlinearities. To highlight and illustrate the efficiency of the proposed methodology, an LMI based controller design is used to control a conveyor belt with variable transport delay.
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Sistemas difusos, Modelos matemáticos
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Delays , Belts , Takagi-Sugeno model , Stability analysis , Symmetric matrices , Mathematical model , Engines, Controle de Processos, sistemas não lineares, Aplicações Automotivas, Controle Fuzzy, Variable transport delay , variable-dependent domain , discrete model-based control , Takagi-Sugeno representation , conveyor belt, Variable Delay , Conveyor Belt , Transport Delay , Control Design , Discrete Domain , Discretion , Dynamical , Industrial Applications , Time Delay , Optimal Control , Mass Flow , Closed-loop System , Membership Function , Sensor Locations , State-space Model , PI Controller , Fuzzy Control , Time-varying Delays , Validity Domain
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https://ieeexplore.ieee.org/document/8431427