Vibration Control of a Structure by Using of an Active Dynamic Vibration Absorber Taking Account of Actuator Constraints

This paper proposes a design method for vibration control of a structure with an active dynamic vibration absorber involving actuator constraints. We formulate the linear parameter varying system taking into account both the maximum control input and the maximum stroke of the actuator by using a nonlinear function of hyperbolic tangent. The gain-scheduled control based on the linear matrix inequality is obtained so that the closed-loop system is stable and has good performance even if saturation phenomena of the actuator occur. By simulations we verify that the proposed method is useful for not only an impulsive input but also a non-stationary random input such as earthquakes.