Lightweight Topology and Low Suppression Cost Uncertain Design for Large Space Truss

As rigid–flexible coupled (RFC) systems, large space trusses exhibit an inherent conflict between lightweight topology and low-cost suppression, which poses challenges to the synergistic design of the structure and controller. This study investigates a convex-set-based uncertain bidesign strategy, which aims at designing both the structural topology and the controller of a given RFC space truss. Convex-set-based uncertainty is adopted to realize rapid and rather accurate analysis of the multisource uncertainty originated from the space truss. The large-scale space truss structure is modeled as an uncertain equivalent beam with unknown-but-bounded parameters. The uncertain dynamic model of the RFC space truss is formulated using convex-set-based uncertainty propagation. A convex-set-based uncertain linear quadratic tracking controller is developed to simultaneously realize vibration suppression and attitude tracking, where the nominal and uncertain control gain can resist the fluctuation of the RFC system. Both time-independent and time-dependent reliability formulations based on convex sets can be incorporated as multiple types of constraints within a multiobjective optimization framework for the bidesign, enabling the simultaneous optimization of the topology and controller. A numerical example is used to validate the proposed bidesign for lightweight topology and low suppression cost, proving its high precision and effectiveness.