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摘要
A new instantaneous optimal control algorithm based on the time domain explicit method for the connected structures subjected to non-stationary random excitations is proposed. First, the time-domain explicit method (TDEM) for linear system is introduced in detail and the control model of a connected building structure is established using the TDEM. Then, the optimal locations of the control force are analyzed by mode analysis and the optimal control force is obtained by the instantaneous optimal control algorithm (ISO). Finally, a connected tall building structure under actually recorded earthquake excitations is taken as example to illustrate the proposed method. Two control strategies are considered and compared in the numerical simulation examples. It is found that the proposed algorithm has such advantages that a control model is easily established by applying the time history method twice in the analysis of unit impulse response through the finite element software, the optimal control forces are directly calculated and solution of the Riccati equation for the linear quadratic Gaussian (LQG) control problem is no longer needed, the problem of partially observable system state is avoided in the control process, and the control effect of each sub-structure can be adjusted as needed for different circumstances. The proposed algorithm is also compared with the traditional instantaneous optimal control algorithm. The results verify the proposed optimal control algorithm.
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