This paper considers the problem of synthesizing proportional-integral- derivative (PID) controllers for which the closed-loop system is internally stable and the Hm=inftnorm of a related transfer function is less than a prescribed level for a given single-input single output plant. In our approach, in this paper, this problem is formulated by virtue of the bounded real lemma, as a feasibility problem involving a bilinear matrix inequality (BMI) and solved by means of a sequence of easier auxiliary quadratic optimization problems. The optimal controller is determined through a line search on the non negative real axis.
展开▼
机译:本文考虑了闭环系统内部稳定且相关传递函数的H m = inft inf>范数小于规定值的比例积分微分(PID)控制器的合成问题给定单输入单输出设备的级别。在我们的方法中,本文通过有界实引理将这个问题表述为涉及双线性矩阵不等式(BMI)的可行性问题,并通过一系列较容易的辅助二次优化问题进行求解。通过在非负实轴上进行线搜索来确定最佳控制器。
展开▼