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将有限元方法与粘弹性材料的GHM模型相结合 ,从而避免因粘弹性材料导致的非线性微分方程。为进一步设计控制器 ,先在物理空间通过迭代进行动力缩聚 ,将系统降至适当的维数 ,然后在状态空间用鲁棒降阶的方法进一步降阶。这样能使降阶后的系统既可观性 ,又可控性。
The finite element method is combined with the GHM model of viscoelastic material to avoid nonlinear differential equations caused by viscoelastic materials. In order to further design the controller, we first power-shrink the system through iteration in the physical space, reduce the system to the appropriate dimension, and then further reduce the order by robust reduction in the state space. This allows the reduced order system is observability, but also controllable.