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MULTI-PARAMETER STABILITY DOMAIN SOLVING METHOD FOR CLOSED-LOOP STABILITY ANALYSIS OF CONTROL SYSTEM

机译:控制系统闭环稳定性分析的多参数稳定性域求解方法

摘要

Disclosed in the present disclosure is a multi-parameter stability domain solving method for closed-loop stability analysis of a control system. According to the method, the flight quality requirements of the control system are converted into constraint conditions for the distribution of closed-loop poles in a complex plane, and a super-ellipsoid region is used to describe the multi-parameter stability domain of a model. Firstly, a protection mapping theory is used to calculate the stability domain of each single parameter, so as to obtain a box constraint form for all model parameters; and secondly, a multi-parameter super-ellipsoid is constructed according to the boundary values of the multi-parameter box constraint, and is marked as an initial super-ellipsoid. The value of the protection mapping is considered as an optimization target, the model parameters are considered as optimization variables, the scaling ratio of the stability domain of multiple variables is determined by constructing an optimization problem of the multiple variables within the super-ellipsoid, and finally the super-ellipsoid stability domain of the multiple variables is determined. The present invention can quantitatively determine, in the case where there are many model parameters, the change ranges of model parameters that satisfy performance indicators, and has a higher engineering application value.
机译:本发明公开了一种用于控制系统的闭环稳定性分析的多参数稳定域求解方法。根据该方法,将控制系统的飞行质量要求转换为约束条件,以限制复杂平面中闭环极点的分布,并使用超椭球区域描述模型的多参数稳定域。 。首先,采用保护映射理论来计算每个单个参数的稳定域,从而获得所有模型参数的箱形约束形式。其次,根据多参数盒约束的边界值构造多参数超椭圆体,并将其标记为初始的超椭圆体。保护映射的值被认为是最优化目标,模型参数被认为是最优化变量,通过构造超椭球体内的多个变量的最优化问题来确定多个变量的稳定域的比例。最终确定了多个变量的超椭球稳定域。本发明可以在模型参数较多的情况下,定量地确定满足性能指标,具有较高工程应用价值的模型参数变化范围。

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