Gain-Scheduled PID Control of Nonlinear Plant via Artificial Neural Networks

The high-performance control of nonlinear industrial plants in a wide operation range requires intelligent techniques. The aim of the present research is to develop an engineering approach for adaptation of the gains of the well-mastered and widely applied linear PID controller based on an offline-trained backpropagation artificial neural network (BANN) that assesses the plant parameters for the current operation point. The controller’s gains are online-computed from the empirical relationship with the plant parameters. Robust stability and robust performance conditions are derived for the gain-scheduled BANN-PID system. Their fulfilment ensures system feasibility in an industrial environment. The approach is demonstrated for the control of temperature in a laboratory dryer for fruits. The BANN training is based on data derived and validated from experiments using the Takagi–Sugeno–Kang nonlinear plant model. Simulations show that the BANN-PID system outperforms both the gain-scheduled fuzzy logic PID control system, designed in previous research, and the PID real-time control system by reducing overshoot six times and settling time 1.8 times and improving robustness 1.3 times.

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Publication Details

Journal
Applied Sciences
Published
2026-04-13
DOI
https://doi.org/10.3390/app16083785
Primary Topic
Advanced Control Systems Design
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

Gain-Scheduled PID Control of Nonlinear Plant via Artificial Neural Networks

Desislava Stoitseva-Delicheva, Snejana Yordanova
Applied Sciences
Advanced Control Systems Design
article

Gain-Scheduled PID Control of Nonlinear Plant via Artificial Neural Networks

Desislava Stoitseva-Delicheva, Snejana Yordanova
article en

Abstract

The high-performance control of nonlinear industrial plants in a wide operation range requires intelligent techniques. The aim of the present research is to develop an engineering approach for adaptation of the gains of the well-mastered and widely applied linear PID controller based on an offline-trained backpropagation artificial neural network (BANN) that assesses the plant parameters for the current operation point. The controller’s gains are online-computed from the empirical relationship with the plant parameters. Robust stability and robust performance conditions are derived for the gain-scheduled BANN-PID system. Their fulfilment ensures system feasibility in an industrial environment. The approach is demonstrated for the control of temperature in a laboratory dryer for fruits. The BANN training is based on data derived and validated from experiments using the Takagi–Sugeno–Kang nonlinear plant model. Simulations show that the BANN-PID system outperforms both the gain-scheduled fuzzy logic PID control system, designed in previous research, and the PID real-time control system by reducing overshoot six times and settling time 1.8 times and improving robustness 1.3 times.

Applied SciencesVol. 16(8)
Technical University of Sofia (BG)
European Regional Development Fund
Industry, innovation and infrastructure
Openalex Percentile: Top 24%
Advanced Control Systems Design
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