Optimal structural design with control gain norm constraint

Abstract

A structure/cont rol system optimization problem has been formulated with constraints on the closed-loop eigenvalue distribution, structural frequencies, and the minimum Frobenius norm of the required control gains. Suggested is simultaneous optimization where, at each iteration, the control objective function is minimized first with the closed-loop eigenvalue constraints and then structural optimization is performed to satisfy the constraints on the optimal control gain norm and structural frequencies. The feasibility of the approach is demonstrated on a two-bar truss structure. For each locally optimal design, response simulations have been made and control efforts observed. Qualitative aspects of the optimal designs are also included and general conclusions drawn.