Multivariable Methods for the Design, Identification and Control of Large Space Structures. Volume 2. Optimal

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Abstract : This report investigates the integrated control/structure design optimization problem for large flexible structures subject to stochastic disturbance forces. The full state feedback control of truss type structures is considered. The problem is formulated as a mathematical programming problem, and solved using a sequential approximations solution technique along with a scaling procedure. Due to the special nature of full state feedback control, it is shown that the controller can be assumed to be an LQR controller, where the control and state weightings are Lagrange multipliers from the mathematical programming optimality conditions. The design space is therefore effectively reduced to the truss element cross-sectional areas and these Lagrange multipliers, significantly reducing the computational effort required for solution. In this report, the solution algorithm is applied to the DRAPER I tetrahedral truss structure. Keywords: Large space structures; Multivariable control;

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