Game theory approach for the integrated design of structures and controls

The problem of design of actively controlled structures subject to constraints on the damping parameters of the closed-loop system is formulated as a multiobjective optimization problem. The structural weight and the controlled system energy are considered as objective functions for minimization with cross-sectional areas of members as design variables. A computational procedure is developed for solving the multiobjective optimization problem using cooperative game theory. The feasibility of the procedure is demonstrated through the design of two truss structures.