Abstraction based supervisory controller synthesis for high order monotone continuous systems
Abstraction based supervisory controller synthesis for high order monotone continuous systems
复制标题
高阶单调连续系统的基于抽象的监控控制器综合
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
J. Raisch
中科院分区：
文献类型：
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作者：
T. Moor;J. Raisch
基于抽象的方法来混合控制系统的综合，到目前为止，主要限于低阶线性连续动态的问题。在本文中，单调动力系统理论的结果被用来有效地计算一类非线性模型的离散抽象。此外，一种情况下，高维植物状态收敛到一个低维流形，在所提出的方法的计算工作量是由低阶流形的尺寸，而不忽略高阶动态。结果应用于合成一个离散事件控制器的自动启动的非线性蒸馏塔模型的订单42。
Abstraction based approaches to hybrid control systems synthesis have so far been mostly limited to problems with low-order linear continuous dynamics. In this paper, results from the theory of monotone dynamical systems are used to efficiently compute discrete abstractions for a class of nonlinear models. Furthermore, a situation is investigated where the high-dimensional plant state converges to a low-dimensional manifold; in the proposed approach the computational effort is governed by the dimension of the low-order manifold without neglecting the high-order dynamics. Results are applied to synthesize a discrete event controller for the automatic start-up of a nonlinear distillation column model of order 42.