Saturated LMI Control of Hysteretic Base-Isolated Structures

The main objective of applying active control forces to base-isolated structures is to protect them in the event of an earthquake. An LMI-based control design is proposed to attenuate seismic disturbances in base-isolated structures under saturation actuators. Using a simplified model of the structure system, a control algorithm design is offered. Performance evaluation of the controller is carried out in a simplified model version of a benchmark building system, which is recognized as a state-of-the-art model for numerical experiments of structures under seismic perturbations. Experimental results show that the proposed algorithm is robust with respect to model and seismic perturbations. Finally, the performance indices show that the proposed controller behaves satisfactorily and with a reasonable control effort. Copyright c ©2008 IFAC