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

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.