Improving collateral design of structure and control system

Based on LMI, a parallel algorithm, which is used to solve the optimal problem under stochastic activation to get the minimum of control energy by changing the value of structure parameters, is presented to design the structure and control system simultaneously. This algorithm overcomes the deficiency of present methods in two aspects: (1) by introducing the mass matrix into optimal variable, the method broadens the range of the optimization; (2) in order to solve the optimal problem with nonconvex constraint induced by control in structure, we use convexifying potential function to make the nonconvex constraint part to be convex, thus reducing the complexity of the algorithm greatly. Finally we give a numerical example. The results prove that our parallel algorithm can improve the efficiency of the collateral design.