【摘要】 为了解决控制系统的不确定性问题,将不确定参数用区间表示,使不确定问题转化为确定性问题。提出了用系统物理参数构造区间状态矩阵的方法。用极点配置方法得到确定参数的状态反馈增益矩阵,然后用到实际不确定系统中。应用矩阵摄动和区间扩张,提出了估计特征值上下界的计算方法。数值算例表明:利用本文的计算结果可以估计系统不确定参数对闭环系统特征值实部和虚部的影响。更多还原

【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.更多还原