Structural control considering soil–structure interaction effects

A discussion of the effects of Soil‐Structure Interaction (SSI) on the formulation of active structural control algorithms is presented. Two approaches for incorporating SSI effects in linear optimal control theory are developed: one which performs the control analysis on a structure with a fixed base and then considers the effects of SSI on the controlled structural response; and another which performs the control analysis using a structural equation of motion reformulated to include SSI effects. The two control formulations are studied and compared using a single‐degree‐of‐freedom structure supported through a rigid foundation resting on a linear, elastic half‐space. Results show that control effectiveness is affected by the approach used in formulating the equations of motion of the interacting system.