Parallel algorithm design of building structure and control system based on LMI

parallel design;  linear matrix inequality (LMI);  Structural control

Aiming at the parallel design problem of building structure and control system under random excitation with structural parameters as variables and minimizing control input force as the optimization goal, a parallel optimization algorithm based on linear matrix inequality tool is designed. The algorithm breaks through the limitations of existing algorithms in the following two aspects: the quality matrix is included in the optimization variable, which broadens the optimization scope; The convex potential energy function processing is used to introduce control into the non-convex constraint caused by structural design, which greatly reduces the complexity of the algorithm. The analysis results show that the algorithm can effectively improve the efficiency of structural design.