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Optimization of Controlled Structures: Using H_? Theory

by N. S. Khot, WL/FIBA, Wright-Patterson AFB, United States,
D. E. Veley, WL/FIBA, Wright-Patterson AFB, United States,



Document Type: Proceeding Paper

Part of: Analysis and Computation

Abstract:

This paper presents the algorithm for the design of a controlled structure in which the structural and control systems are designed simultaneously. The problem is posed as an optimization problem and solved by using a nonlinear optimization method. The control approach selected in this paper uses the H₂-norm LQG compensator with the H_?-norm as a constraint. The objective function selected for this problem is the weight of the structure and constraints are imposed on the structural frequencies, closed-loop damping, a minimum bound on the H₂-norm and the dB gain separation between closed-loop and open-loop singular values at a prescribed frequency. The design variables are the cross-sectional areas of the structure and different weighting matrices of the control design. The numerical results are presented for a cantilevered box beam idealized with rod elements.

Subject Headings: Structural control | Structural design | Nonlinear analysis | Control systems | Box beams | Structural systems | Optimization models

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