基于广义代数特征空间的控制律设计

近年来,结构振动主动控制研究得到了快速发展,并在实际工程中有了许多成功的应用.目前,控制律设计的基本方法是最优控制法,但其需要求解的Riccati方程阶数通常是较高的,而高阶Riccati方程是难于求解的.提出了分块最优控制法,它能有效降低相应的Riccati方程阶数,为能对各子块独立地进行控制设计,采用了在模态空间分块的办法.

Based on General Algebraic Eigenvalue Space to Design the Control Law

The technique of active vibration control has been developed rapidly, and many active control methods of structure vibrations have been used in practical engineering. The design of current control law is mainly based on the optimal control method, which involves solution of the ARE(algebraic Riccati equation). The ARE has higher dimensions in general, however, its solution is therefore very difficult. In this paper, we present the concept of the partitioning-optimal control, which can reduce the dimension of the ARE effectively and makes it easily to be solved. For the sake of reducing the mutual influences among the blocks, we partition the dynamic system in the modal space.