Control Design for Quasi-Linear Hyperbolic Systems With an Application to the Heavy Rope
Control Design for Quasi-Linear Hyperbolic Systems With an Application to the Heavy Rope
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DOI：
10.1109/tac.2014.2336451
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发表时间：
2015
影响因子：
6.8
通讯作者：
Torsten Knüppel;F. Woittennek
中科院分区：
文献类型：
--
作者：
Torsten Knüppel;F. Woittennek
本文研究了由拟线性双曲型方程所控制的分布参数系统的前馈控制问题。这是实现在两个步骤：首先，现有的基于平坦性的方法，非线性分布参数系统的基本思想是重申的一般形式。因此，控制问题是导致回到柯西问题w.r.t.空间其次，利用特征线方法讨论了拟线性双曲型方程的柯西问题的解。这包括数值积分方案的详细介绍。所提出的概念是说明通过一个准线性模型的重绳，因此，概括了相关的有限维和线性无限维模型的这个系统的结果。
This contribution deals with the feed-forward control design for distributed parameter systems governed by quasi-linear hyperbolic equations. This is achieved in two steps: Firstly, the basic ideas underlying existing flatness-based approaches to nonlinear distributed parameter systems are restated in a general form. As a result the control problem is led back to a Cauchy problem w.r.t. space. Second, the solution of this Cauchy problem is discussed for the quasi-linear hyperbolic case using the method of characteristics. This includes the detailed presentation of a numerical integration scheme. The proposed concept is illustrated by means of a quasi-linear model of the heavy rope and, thus, generalizes results for related finite-dimensional and linear infinite-dimensional models of this system.