A case study of whether or not intentionally network-induced delay vibration control

This paper investigates whether and how network-induced delays positively benefit the networked active vibration control for multi-degree-of-freedom structural systems subject to earthquake excitation. By intentionally introducing proper network-induced delays in the feedback control loop, the structural control system in the networked control system architecture is described by a system with an interval time-varying delay. By using a complete Lyapunov-Krasovskii functional, a delay-dependent H_∞ control design result is obtained in terms of linear matrix inequalities with an equality constraint. An iterative algorithm is presented to design the controller such that the vibration effect is reduced as much as possible. The effectiveness of the proposed method is validated by a numerical example.