On modeling, analysis and design of piecewise linear control systems
On modeling, analysis and design of piecewise linear control systems
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分段线性控制系统的建模、分析与设计
DOI：
10.1109/iscas.2003.1205102
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
M. Johansson
中科院分区：
文献类型：
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作者：
M. Johansson
分段线性系统在广泛的工程科学中具有广泛的适用性：工作在不同模式或受物理约束的系统自然被建模为分段线性系统；控制系统中一些最常见的非线性，如继电器和饱和，是分段线性的；等等。虽然对特定分段线性系统的分析早在19世纪末就出现了，但公平地说，电路和系统界第一个认识到分段线性系统本身就是一类有趣的系统。苛刻的应用、处理混合系统的技术的缺乏以及新的计算工具的出现，现在引起了控制界对分段线性系统的浓厚兴趣。本文的目的是对该领域的一些最新结果进行简要的概述。
Piecewise linear systems have a broad applicability in a wide range of engineering sciences: systems operating in different modes or subject to physical constraints are naturally modelled as piecewise linear; some of the most common nonlinearities in control systems, such as relays and saturations, are piecewise linear; etc. Although analyses of specific piecewise linear systems appeared already in the late 1800s, it is fair to say that the circuits and systems community was the first to recognize piecewise linear systems as an interesting system class in its own right. Demanding applications, a shortage of techniques for dealing with hybrid systems and the emergence of new computational tools has now sparked a strong interest for piecewise linear systems also in the control community. The purpose of this paper is to provide a short overview of some recent results in this field.