A Data-Driven H-Infinity Controller Design with Non-Common Lyapunov Matrices for the Active Structural Control Having Saturated Actuators


Görmüş B., Yazıcı H., Kucukdemiral I. B.

11th International Conference on Control, Decision and Information Technologies, CoDIT 2025, Split, Hırvatistan, 15 - 18 Temmuz 2025, ss.1911-1916, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/codit66093.2025.11321596
  • Basıldığı Şehir: Split
  • Basıldığı Ülke: Hırvatistan
  • Sayfa Sayıları: ss.1911-1916
  • Anahtar Kelimeler: active structural control, data-driven control, linear matrix inequalities, non-common Lyapunov matrix, saturated actuators
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This paper presents a data-driven H-infinity controller for active vibration control in structural systems having saturated actuators. The data-driven approach addresses parameter uncertainties by eliminating the need for system identification. The full-block S-procedure is used to formulate a convex optimization problem in the form of linear matrix inequalities (LMIs), though additional constraints may introduce conservatism. To mitigate this, the dilation technique with non-common Lyapunov matrices is employed, reducing conservatism and achieving a 12.7% lower H-infinity norm compared to common Lyapunov matrices. A seismically excited three-storey structure is used to validate the method. Simulations based on real-time data from the Kobe earthquake show that the proposed synthesis effectively reduces vibrations while control inputs never become saturated.