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Special issue on control of second-order vibrating systems with time delay

机译：时滞二阶振动系统控制专题

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This special issue brings together two exciting state-of-the-art topics: control analysis and design of vibrating systems and flexible structures with time delay based on the second-order modeling approach. The time delay effect is potentially pervasive such that control engineers and scientists cannot ignore its consequences. Nevertheless, sensing, actuation, communication, and transport delays are many times inevitable. Several techniques, exact or approximated, have been developed since the introduction of control systems in early 1930-1940. The Nyquist graphical approach and the Pade approximants are two good examples of these efforts in dealing with delays. By its turn, the second-order model based-techniques have received increasing attention in the analysis and design for vibrating systems, with an evident success of two approaches: the finite element modeling - FEM, and the receptance-based method. These approaches provide several advantages, either in numerical aspects or concerning closed and parametrized solutions. In particular, the receptance-based approach has a crucial feature: the possibility of an entirely experimental construction based only on measurements and modal analysis. When time delays and second-order modelling are gather together, the control problem renders in emergent properties of the class known as quasi-polynomial systems. The root determination of a quasi-polynomial characteristic equation is somewhat tricky, and the dominance or secondary role of that roots in the dynamical response is an intricated task.
机译：本期特刊汇集了两个令人兴奋的最新主题：基于二阶建模方法的振动系统的控制分析和设计以及具有时间延迟的柔性结构。时间延迟效应可能无处不在，因此控制工程师和科学家无法忽略其后果。然而，感测，致动，通信和传输延迟是不可避免的许多次。自1930-1940年初引入控制系统以来，已经开发了几种精确或近似的技术。奈奎斯特图形方法和Pade近似值是处理延迟的这些努力的两个很好的例子。随之而来的是，基于二阶模型的技术在振动系统的分析和设计中受到了越来越多的关注，其中两种方法显然取得了成功：有限元建模-FEM和基于接受的方法。这些方法无论在数值方面还是在封闭和参数化解决方案方面都提供了几个优点。特别地，基于接受的方法具有一个关键特征：仅基于测量和模态分析的完全实验性构建的可能性。当时间延迟和二阶建模集合在一起时，控制问题导致出现了被称为准多项式系统的类的紧急属性。拟多项式特征方程的根确定有些棘手，而根在动态响应中的支配性或次要作用是复杂的任务。

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