Optimum Design of Structures with Disturbance Suppression by H_∞ Control : Output Feedback Case

抄録

An optimum design problem of structures, considering control performance, is presented. We assume that a structure is subjected to initial loads and time-varying disturbances and is controlled by an H_∞ controller to suppress the effect of disturbances. The purpose of the design is minimization of an objective function that represents the effect of the initial loads under a constraint imposed on the weight of the structure. We have already reported a solution to this problem using a state feedback H_∞ controller. However, the state is not always measurable in real structures. For this reason, we adopt an output feedback H_∞ controller. Deterministic initial loads and statistically known initial loads are considered, and the objective function for the control system is proposed in the case that the initial loads are known statistically. A numerical example of the structure of a 3-D truss is presented.