关键词: 工程力学, 不确定系统, 振动控制, 闭环系统特征值, 稳定的鲁棒性, 区间分析

Abstract: To solve the uncertain control problem of system, the uncertain parameters were described by the interval model, and the uncertain control problem was approximated by a deterministic. The method for building the interval state matrices with the system physical parameters was developed. The state feedback gain matrix of system with deterministic parameters could be obtained by using the method of pole allocation, and then it was applied to the actual uncertain system. With matrix perturbation and interval extension, the algorithm for estimating the upper and lower bounds of the interval eigenvalues was developed. A numerical example was given to illustrate the application of the present method. The results can describe how the uncertain parameters of the system affect the real and imaginary parts of eigenvalues of closedloop system.

Key words: engineering mechanics, uncertain systems, vibration control, eigenvalues of closeloop system, stable robustness, interval analysis