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本文提出了按二次型性能指标最优设计系统的一种准解析方法。该方法首先将系统逐步分解为二阶及二阶以下子系统的组合,利用子系统参数与二次型性能指标加权阵 Q 之间的解析关系,找到了整个系统加权阵 Q、最佳反馈阵K 与闭环极点之间的解析关系,从而基本避免了在系统设计时的试凑。将该方法推广到多输入-多输出系统,为多输入-多输出系统的最佳设计提供了一种新方法。将该方法用于直流调速系统设计,其结果表明该方法用于工程设计是行之有效的。
In this paper, a quasi-analytical method for optimal design system based on quadratic performance index is proposed. In the method, the system is decomposed step by step into the second and second order subsystems. By using the analytic relationship between the subsystem parameters and the quadratic performance index weight matrix Q, the whole system weight matrix Q, the best feedback matrix K and the closed-loop analysis of the relationship between the poles, which basically avoided in the system design of trial and error. This method is extended to multi-input-multi-output system, which provides a new method for the best design of multi-input-multi-output system. The method is applied to the design of DC speed control system. The results show that this method is effective for engineering design.