Modern and future high precision pointing space missions face increasingly high challenges related to the widespread use of large flexible structures. The development of new modeling tools which are able to account for the multidisciplinary nature of this problem becomes extremely relevant in order to meet both structure and control performance criteria. This paper proposes a novel methodology to analytically model large truss structures in a sub-structuring framework. A three dimensional unit cube element has been designed and validated with a Finite Element commercial software. This model is composed by multiple two-dimensional sub-mechanisms assembled using block-diagram models. This constitutes the building block for constructing complex truss structures by repetitions of the element. The accurate vibration description of the system and its minimal representation, as well as the possibility of accounting for parametric uncertainties in its mechanical parameters, make it an appropriate tool to perform robust Structure/Control co-design. In order to demonstrate the strengths of the proposed approach, a structure/control co-design study case is proposed and solved using structured robust $H_{\infty }$-synthesis. The objective is to optimize the pointing performances of an antenna, minimizing the perturbations coming from the Solar Array Driving Mechanisms (SADM) of two solar panels, performing active control by means of multiple Proof Mass Actuators (PMA), and simultaneously reduce the mass of the truss-structure which connects the antenna to the main spacecraft body.

现代和未来的高精度指向空间任务面临着与大型柔性结构的广泛使用相关的越来越高的挑战。为了满足结构和控制性能标准，能够解释该问题的多学科性质的新建模工具的开发变得非常重要。本文提出了一种在子结构框架中对大型桁架结构进行分析建模的新方法。使用有限元商业软件设计并验证了一个三维单元立方体元素。该模型由使用框图模型组装的多个二维子机制组成。这构成了通过重复元素构建复杂桁架结构的构建块。系统的准确振动描述及其最小表示，以及在其机械参数中考虑参数不确定性的可能性，使其成为执行稳健的结构/控制协同设计的合适工具。为了证明所提出方法的优势，提出了结构/控制协同设计研究案例并使用结构化鲁棒解决了$H_{\infty }$-合成。目标是优化天线的指向性能，最大限度地减少来自两个太阳能电池板的太阳能阵列驱动机制 (SADM) 的扰动，通过多个证明质量执行器 (PMA) 执行主动控制，同时减少质量将天线连接到航天器主体的桁架结构。