Hybrid automata: an insight into the discrete abstraction of discontinuous systems
Hybrid automata: an insight into the discrete abstraction of discontinuous systems
复制标题
混合自动机：深入了解不连续系统的离散抽象
DOI：
10.1080/00207721.2010.495189
复制
发表时间：
2011
影响因子：
4.3
通讯作者：
Rebekah Carter
中科院分区：
文献类型：
--
作者：
E. Navarro;Rebekah Carter
我们开发了一种新的计算动力学框架的一类不连续动力系统（DDS）的建模。特别是，被称为DDS的混合自动机的输入和输出的建议。这是一个通用的混合自动机，它为具有不连续状态导数和滑动运动的DDS提供了一个合适的数学模型。该模型的主要特点是，遵循计算分而治之的原则，一个系统的多个不连续元素可以表示为几个DDS混合自动机的组合。虽然不连续的，非光滑的或切换动力系统已经在不同的框架内得到了很好的研究，它仍然是一个挑战，以提供令人满意的解决方案，指定这些系统的不同操作模式之间的过渡。我们提出了一种新的方法来解决这个问题，这是特别有效的多个开关元件的系统。最后用一个例子来说明这些观点。几个模拟。模拟结果使用Stateflow®和Modelica®获得。
We develop a novel computational–dynamical framework for the modelling of a class of discontinuous dynamical systems (DDSs). In particular, what is referred to as the DDS hybrid automaton with inputs and outputs is proposed. This is a general hybrid automaton that provides a suitable mathematical model for DDSs with discontinuous state derivatives and sliding motions. The chief characteristic of this model is that, following the computational divide-and-conquer principle, a system with multiple discontinuous elements can be represented by the composition of several DDS hybrid automata. Although discontinuous, non-smooth or switched dynamical systems have been well-investigated within different frameworks, it is still a challenge to give satisfactory solutions for specifying the transitions between the different modes of operation of these systems. We propose a new way of solving this problem, which is especially effective for systems with multiple switching elements. An example is used to illustrate these ideas. Several simulations are presented. The simulations results are obtained with Stateflow® and Modelica®.