Tensor product model transformation simplification of Takagi-Sugeno control and estimation laws: an application to a thermoelectric controlled chamber

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This paper presents a novel application of the Tensor Product Model Transformation: the approximation of fuzzy control and estimation laws. In order to illustrate this application, a thermoelectric controlled chamber was built using peltier coolers and an H Bridge. Using 5 digital temperature sensors, a Takagi-Sugeno discrete time fuzzy model of the system was found with system identification techniques. A control and an estimation law were designed using state of the art LMI conditions for fuzzy systems. Making use of the Tensor Product Model Transformation, these control and estimation laws were approximated/simplified and implemented on a microcontroller. The results obtained from these simplified laws show that this is a viable option and allows the use of cheap microcontrollers in cases where it would not be able to implement the control and estimation laws.

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Sistemas difusos, Sistemas não lineares

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Tensor Product Model Transformation; Hinf model reference control; TakagiSugeno observer; LMI, Controle Fuzzy, Takagi-Sugeno fuzzy systems are widely studied due to their universal approximation capabilities. In addition, given the fact that they are capable of representing nonlinear systems by a convex combination of linear models, many control, estimation and analysis problems can be recast as Linear Matrix Inequality

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http://www.uni-obuda.hu/journal/Marden-Fonseca-Pereira_Sathler-Vianna_Augusto-Keles_Campos_82.pdf

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