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Design and FPGA realization of incremental fuzzy controller for stirred tank heater

  • Fuzzy systems and their mathematics
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Abstract

This paper proposes field programmable gate array (FPGA) realization of fuzzy PI controller for typical industrial process called stirred tank heater system. Due to the complex nature of fuzzy controller families, its implementation on digital signal processors (DSPs) result computational time delay which, in other words, makes the processing speed slower. To address the limitations of DSP implementation, an alternative digital hardware programmable device called FPGAs are being largely used for digital implementation of algorithms with higher computational speed and accuracy. The proposed work is inspired by this quality of FPGAs and aims to take advantage of reliable performance of fuzzy PI controllers with its complexity and having no considerable impact on processing speed. Here, fast and novel design approach for rapid prototyping of fuzzy PI controller for stirred tank heater is presented thoroughly. Xilinx system generator SIMULINK add on from VIVADO is used to generate very high-speed integrated circuit hardware description language (VHDL) directly from MATLAB. The developed controller for stirred tank system is verified in fixed point arithmetic using Xilinx Simulink blocks. The VHDL code is then generated, synthesized, implemented, and made ready for physical implementation on Kintex-7 evaluation board.

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Data availability

The data used for this research findings are available from the corresponding author upon reasonable request.

Abbreviations

DSP:

Digital signal processor

FPGA:

Field programmable gate arrays

HIL:

Hardware in the loop

IDE:

Integrated development environment

PI:

Proportional plus integral

VHDL:

Very high-speed integrated circuit hardware description language

XSG:

Xilinx system generator

A :

Area of base of tank

\(A_t\) :

Total area of heat transfer

\(C_p\) :

Specific heat capacity

\(\Delta e\) :

Rate of change of error

e :

Error between set value and actual value

F :

Flow rate of liquid substance flowing out of the tank

\(F_1\) :

Flow rate of liquid substance flowing into the tank

\(F_{\text {st}}\) :

Flow rate of steam

\(G_{\Delta e}\) :

Normalizing gain for \(\Delta e\)

\(G_{\text {du}}\) :

Normalizing gain for controller output signal

\(G_e\) :

Normalizing gain for e

\(K_i\) :

Integral constant

\(K_p\) :

Proportional constant

Q :

The rate of heat added to the steam

\(\rho \) :

Density of substance

T :

Temperature of liquid substance flowing out of the tank

\(T_1\) :

Temperature of liquid substance flowing into the tank

\(T_{\text {st}}\) :

Temperature of steam

U :

Overall heat transfer coefficient

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Funding

The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Electrical and Computer Engineering, Debre Birhan University, Debre Birhan, Ethiopia

    Yeshiwas Fetene

  2. Electrical Power and Control Engineering, Adama Science and Technology University, Adama, Ethiopia

    Endalew Ayenew

Authors
  1. Yeshiwas Fetene
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  2. Endalew Ayenew
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All the authors have read and approved this manuscript and they have also contributed equally.

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Correspondence to Yeshiwas Fetene.

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Appendix A: System and controller parameters

Appendix A: System and controller parameters

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Table 4 System and controller parameters
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Fetene, Y., Ayenew, E. Design and FPGA realization of incremental fuzzy controller for stirred tank heater. Soft Comput 27, 16511–16522 (2023). https://doi.org/10.1007/s00500-023-09149-x

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  • DOI: https://doi.org/10.1007/s00500-023-09149-x

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