Use of Robustness Constraints in the Optimum Design of Space Structures

This paper describes an optimization procedure to design a minimum weight structure and optimum control system with constraints on the eigenvalues and robustness parameter for structured uncertainties in the closed-loop plant matrix. The design variables are the cross-sectional areas of the members and the elements of the state and control weighting matrices. The optimization problem was solved by using a nonlinear mathematical optimization technique based on the interior penalty functions. The numeri cal results are presented for the ACOSS-FOUR structure. This example illustrates how the use of optimization techniques can reduce the weight of the nominal structure, make the control system more robust and Improve the response due to the external disturbance.