Optimization of actively controlled structures using goal programming techniques

The problem of design of actively controlled structures subject to restrictions on the damping parameters of the closed‐loop system is formulated and solved as a multiobjective optimization problem. The purpose of control is to effectively suppress structural vibrations due to initial excitation. The cross‐sectional areas of the members are treated as design variables. The structural weight and the controlled system energy are considered as objective functions for minimization. The goal programming approach is used for the solution of the multiobjective optimization problems. The procedure is illustrated through numerical simulations using two‐bar and twelve‐bar truss structures.