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本文提出了计算状态反馈矩阵的新方法。它不需要了解原开环系统的固有特性,只要任意指定两个矩阵,就能够给出满足相对稳定性要求的状态反馈矩阵。从而,我们较好地解决了线性系统理论中的这一问题。此外,文中还讨论了线性二次型(LQ)控制的逆问题,给出了求解相应的加权矩阵的公式。
In this paper, a new method of calculating the state feedback matrix is proposed. It does not need to understand the inherent characteristics of the original open-loop system, as long as you arbitrarily specify two matrices, you can give the state feedback matrix to meet the relative stability requirements. Thus, we have solved this problem in linear system theory well. In addition, the inverse problem of linear quadratic (LQ) control is also discussed and the formula for solving the corresponding weighting matrix is given.