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The design method capable of considering the influence factors related to control and structural design systems under conditions that simultaneously satisfy multi-objective performances over both the systems is investigated. The influence factors and performances have some kinds of uncertainty related to structural design and control system design. The uncertainty may be expressed in terms of set interval. Set-based design method is available as a design method that can take account of such uncertainty. In the method, instead of optimization, the concept of satisficing is used. In the present study, the applicability of set-based design method that has been studied in the field of structural design is investigated for the simultaneously satisficing design of control and structural systems. For discussing the applicability, an example problem of inverted pendulum with heteromorphic shape on cart is solved by optimal regulator method in modern control theory. As a result, the set intervals of influence factors which simultaneously satisfy the set intervals of multi-objective performances are obtained. From this result, the usefulness of set-based design method for simultaneous design of control and structural systems can be confirmed.

Simultaneous Design of Structural and Control Systems using Set-based Design Method