斜结构奇异值及其在实参数不确定性导弹鲁棒稳定性评估中的应用

Skew μ Applied to Robust Stability Evaluation of Missiles with Real Uncertain Parameters

针对结构奇异值(?)存在计算量大、下界不易计算等问题,提出基于斜结构奇异值的评估方法。将系统频率看作1个实不确定参数,构建不确定系统的状态空间表达式,将某一频率范围内各频点对应的结构奇异值计算问题转化为单个的斜结构奇异值计算,给出2种算法分别计算斜结构奇异值的上下界,并对实参数不确定性导弹的鲁棒稳定性评估对所提方法的准确性和实用性进行验证。结果表明:该方法是一种高效且准确的鲁棒稳定性评估方法,适用于工程应用。

The structured singular value （μ） has disadvantages, such as the calculation burden is heavy and its lowerbound is not easy to calculate, so an evaluation method based on skew is developed. Taking frequency as a real uncertainparameter and constructing the state space expression of the uncertain system, then calculation of within a fixedfrequency range converts to calculation of a single skew p. Two algorithms are given to calculate the upper and lowerbounds of skew N respectively. The robust stability analysis of missile with real parameter uncertainty is carried out tovalidate the accuracy and practicability of the proposed method. The results show that the proposed method is efficient andaccurate, and it＇s suitable for engineering application.