Tensor Product Model Transformation Simplification of Takagi-Sugeno Control and Estimation Laws – An Application to a Thermoelectric Controlled Chamber
Alisson Marden Fonseca Pereira, Letícia Maria Sathler Vianna, Nátalia Augusto Keles, Víctor Costa da Silva Campos · Acta Polytechnica Hungarica · 2018
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.