Piecewise affine approximations for quality modeling and control of perishable foods

Jianbin Xin*, Rudy R. Negenborn, Xiao Lin

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)


This paper proposes a new methodology for modeling and controlling quality degradation of perishable foods when zero-order kinetics are considered. This methodology approximates the nonlinear model of the zero-order quality kinetics using the piecewise affine (PWA) modeling representation. For obtaining a proper PWA model, two state-of-the-art methods are discussed, and eventually, a hybrid identification-based PWA model is considered after the comparison. This PWA model is then transformed into a computational mixed logical dynamical model, based on which an optimal control strategy is proposed that balances food quality and associated energy consumption. Furthermore, a model predictive control is proposed for improving energy efficiency when a dynamical weather environment is considered. Simulation experiments illustrate the potentials of the proposed optimal controller and the model predictive controller in a case study involving the bighead carp.

Original languageEnglish
Pages (from-to)860-872
JournalOptimal Control Applications and Methods
Issue number2
Publication statusPublished - 2018

Bibliographical note

Special Issue "Global and Robust Optimization of Dynamic Systems"


  • optimal control
  • perishable food control
  • piecewise affine approximation
  • quality kinetics


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