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<p>This study introduces a switched robust model predictive control approach to closed-loop stabilization of switched linear parameters varying systems. The proposed methodology employs a Lyapunov–Metzler stability theorem to stabilize the quadratic performance index over an infinite prediction horizon, using linear matrix inequalities along with the closed-loop stability considering the boundary ellipsoids analysis. The presented technique adopts comparative tests with two benchmark examples, focusing on time response and performance indices. The results demonstrate the superiority of the proposed approach over the benchmarks in terms of both time response and performance indices. The presented boundary ellipsoids confirm the closed-loop stabilization of the switched model. In conclusion, the proposed predictive control theorem ensures closed-loop stabilization and outperforms the benchmark techniques in terms of time response and performance indices. Future work includes exploring output feedback approaches and applying the proposed study to experimental plants.</p>

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Robust model predictive control for switched LPV systems

  • 期刊论文

  • 发表日期：

    2025年9月2日

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  • Roberta R. T. Alves,
  • Luis Carvalho,
  • Marcus V. S. Costa,
  • F. Everton U. Reis,
  • Elenilson V. Fortes,
  • Fabrício Nogueira

摘要

This study introduces a switched robust model predictive control approach to closed-loop stabilization of switched linear parameters varying systems. The proposed methodology employs a Lyapunov–Metzler stability theorem to stabilize the quadratic performance index over an infinite prediction horizon, using linear matrix inequalities along with the closed-loop stability considering the boundary ellipsoids analysis. The presented technique adopts comparative tests with two benchmark examples, focusing on time response and performance indices. The results demonstrate the superiority of the proposed approach over the benchmarks in terms of both time response and performance indices. The presented boundary ellipsoids confirm the closed-loop stabilization of the switched model. In conclusion, the proposed predictive control theorem ensures closed-loop stabilization and outperforms the benchmark techniques in terms of time response and performance indices. Future work includes exploring output feedback approaches and applying the proposed study to experimental plants.