Motion planning and open loop control design for linear distributed parameter systems with lumped controls
Motion planning and open loop control design for linear distributed parameter systems with lumped controls
复制标题
具有集总控制的线性分布参数系统的运动规划和开环控制设计
DOI：
10.1080/00207170701561435
复制
发表时间：
2008
影响因子：
2.1
通讯作者：
F. Woittennek
中科院分区：
文献类型：
--
作者：
J. Rudolph;F. Woittennek
讨论了具有集总控制的线性空间一维分布参数系统的运动规划和开环边界控制方案。利用Mikusiński的运算演算将模型表述为普通（运算）边值问题。它们的解通过引入一个所谓的基本变量作为适当的自由参数来参数化。考虑的特定类型的模型导致涉及任意阶基本变量导数的级数表示或卷积算子，可以解释为分布延迟和进步。圆环板和热交换器弯曲运动的例子说明了结果。
Motion planning and open loop boundary control schemes for linear spatially one dimensional distributed parameter systems with lumped control are discussed. Using Mikusiński's operational calculus the models are formulated as ordinary (operational) boundary value problems. Their solutions are parameterized by introducing a so-called basic variable as an appropriate free parameter. Particular classes of models considered lead to series representations involving derivatives of the basic variable of arbitrary order or to convolution operators which can be interpreted as distributed delays and advances. Examples of bending motions on a ring-shaped plate and a heat exchanger illustrate the results.