线性定常系统的综合性最优控制问题

本文讨论了具有二次型性能指标的线性定常系统的降低性能指标灵敏度、降低轨迹灵敏 度和配置闭环极点的综合性最优控制问题,提出了新的综合性能指标,从而得到了易于计算 的结果;解决了多参数变化时降低轨迹灵敏度的综合性最优控制问题;推导了闭环特征值对 Q阵的梯度阵公式,提出了一种配置互异的全部闭环极点Q阵算法,并给出了算例.

The Composite Optimal Control Problem of Linear Constant System

In this paper, some problems for linear constant system with quadratic performance indices are discussed. It includes the composite optimal control problem for reduction of the performance index sensitivity, as well as trajectory sensitivity, and composite optimal control problem for placement of the closed-loop poles. The new composite performance indices are presented to obtain better results, and computations are readily performed. The expression of the gradient matrix of closed-loop eigenvalues with respect to the matrix Q is derived. An algorithm for the matrix Q is given for placement of the distinct all closed-loop poles, as well as a numericdl example are given.