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Open and Closed Loop Identification and Control of a Thermal System

Rubens Eduardo Hauser Novicki(1), Emersom Martim(2), Ervin Kaminski Lenzi(3), Florindo Antônio de Carvalho Ayres Jr.(4), Thiago Dalgalo de Quadros(5), Alisson Luan Daga(6), Marcelo Kaminski Lenzi(7*)

(1) Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia, Jardim das América, Brazil
(2) Pontifícia Universidade Católica do Paraná, Departamento de Engenharia Química, Brazil
(3) Universidade Estadual de Ponta Grossa, Departamento de Física, Avenida Carlos Cavalcanti, 4748 - Campus Uvaranas, Brazil
(4) Universidade Federal do Amazonas, Departamento de Engenharia Elétrica, Avenida General Rodrigo Octavio, Brazil
(5) Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia, Jardim das América, Brazil
(6) Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia, Jardim das América, Brazil
(7) Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia, Jardim das América, Brazil
(*) Corresponding author


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Abstract


The use of mathematical models has been longly recognized as a fundamental step for in-depth process studies. Aimed at process control applications, the use of transfer functions identified from plant data represents an interesting modeling approach when compared to the derivation of first-principles-based models. Thermal systems are widely present in scientific and industrial scenarios, with applications in different fields, representing an important component of a cost operation. Towards this, the development of low-cost thermal systems has been reported aimed at understanding basic phenomena and validating modeling and control strategies. In the first part of the work, open loop identification was performed, leading to a fractional order transfer function, with order (=0.838(0.009. In the second part, a classical closed loop identification, using an integer order PI (proportional-integral) controlled, was used to identify an integer order transfer function. In the third part, the closed loop identified transfer function was employed to successfully preview the experimental closed loop behavior of the controlled and manipulated variables using different PI controllers.
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Keywords


Thermal System; Arduino; Fractional Calculus; Closed Loop

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