复杂结构重叠分散控制理论研究与数值分析

Theoretical investigation and numerical analysis of overlapping decentralized control for complex structure

针对复杂建筑结构分别提出了两种重叠分散控制设计方法,一种是利用包含原理来获得解耦的控制器和滤波器增益矩阵;另一种则是基于线性二次型高斯控制算法来消除子系统间重叠部分控制力的耦合,并提出了重叠分散控制的设计流程。在此基础上,结合工程实际和分散控制的特点,提出了一般重叠分散、链型、环型、星型及环-星型等多种重叠分散控制方案。通过对9层Benchmark模型进行多重叠分散控制设计与仿真分析研究,证明了所提出的设计流程、两种重叠分散控制设计方法及链型、环型和星型等特殊重叠分散控制方案的可行性与正确性。对于多重叠分散控制结构,星型分散控制可以获得更好的控制效果。

This paper presents two overlapping decentralized control methods for complex civil engineering structures. One is applying the system inclusion principle to obtain the decoupled gain matrix of controllers and filters. The other is proposed to achieve decoupled control force between the overlapping portions of the subsystems, which is based on the classical linear quadratic Gaussian （LQG） control algorithm. And the design procedure for overlapping decentralized control is put forward. Moreover, various kinds of overlapping decentralized control strategies for complex structures, including ordinary chain-shaped, ring-shaped, star-shaped and ring-star-sharped schemes, etc, are considered and compared in this study. A 9-story Benchmark building is selected as a numerical example to implement multi-overlapping decentralized control design methods. Results show that both design methods and the multi- overlapping decentralized control schemes （chain-shaped, ring-shaped, star-shaped, etc） achieve good performance, and the star-shaped overlapping decentralized control scheme performs the best among various overlapping decentralized schemes.