论文标题
振荡系统的调节器的分析构建具有液体阻尼器
Analytical construction of regulators for oscillatory systems with liquid dampers
论文作者
论文摘要
考虑了一种用液体阻尼器控制的振荡系统控制的数学模型,它通过替换了除统一以外的数字0到2之间的第一个分数衍生物的第一个衍生物,这与经典的数学模型不同。使用构造LETOV控制器的方法,构建了控制定律,以确保封闭系统的渐近稳定性并最大程度地降低二次功能。结果由特定的数值示例说明。
A mathematical model of oscillatory systems control with liquid dampers is considered which differs from the classical ones by replacing the first derivative of such a fractional derivative that is between numbers 0 and 2 other than unity. Using the methods of constructing Letov controllers, a control law is constructed that ensures the asymptotic stability of the closed system and minimizes the quadratic functional. The results are illustrated by a specific numerical example.