关键词: 工程力学, 二阶控制系统, 不确定结构, 独立模态控制, 鲁棒性, 区间分析

Abstract: The uncertain parameters were described by the interval variables. Using the interval theory, the vibration control problem of structures with interval parameters was discussed, which was approximated by a deterministic system. The independent modal space control was used to obtain the modal gains. A method to solve the interval eigenvalues of the closedloop system was presented. The expressions of the interval stiffness and interval mass matrix were deduced directly from the interval parameters. With matrix perturbation and interval extension theory, the algorithm for estimating the upper and lower bounds of the interval complex eigenvalues was presented. The results were used to estimate the robustness of the stability of the secondorder control systems, and finally the method was apply to a example.

Key words: engineering mechanics, the second order control systems, uncertain structures, independent modal space control (IMSC), robustness, interval analysis