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回差矩阵奇异值法是一种计算多变量系统稳定裕度的方法,由于其计算简单,易于计算机实现,已得到了较广泛的应用。但是按照这种方法计算的系统稳定裕度存在一定保守性,本文提出了基于回差矩阵奇异值的摄动矩阵迭代法,改善了计算多变量系统稳定裕度的保守性,并通过定点仿真验证,取得了较好的效果。
Hysteresis matrix singular value method is a method to calculate the stability margin of multivariable systems. Because of its simple calculation and easy implementation by computer, it has been widely used. However, the system stability margin calculated by this method is somewhat conservative. In this paper, we propose a perturbation matrix iterative method based on the singular value of the hysteresis matrix, which improves the conservativeness of the stability margin of the multivariable system and verifies by the fixed-point simulation , Achieved good results.