Actuator and Sensor Placement for Multiobjective Control of Structures

A simple algorithm for multiobjective linear quadratic Gaussian control that can be used for various structural control applications is presented. This algorithm synthesizes Pareto optimal trade-off curves, which are plots of one performance variable constraint versus another. These curves separate the regions of feasible and infeasible constraints and enable the control designer to minimize one regulated output, such as control force, a structural displacement, or an acceleration, while keeping others within specified constraints. Pareto optimal curves are compared with each other to determine preferred locations for actuators and/or sensors. To illustrate the proposed methodology, numerical examples of simple lumped-mass shear-beam building models subjected to stochastic wind and earthquake loads are considered. Control is presumably through one or more active tendons placed on various floors of the structure. The numerical results presented demonstrate the applicability and feasibility for developing optimal multiobjective controllers for civil structures.