Interval methods for simulation of dynamical systems with state-dependent switching characteristics

Interval methods for simulation of dynamical systems with state-dependent switching characteristics
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具有状态相关开关特性的动态系统仿真的区间方法

DOI：
10.1109/cacsd-cca-isic.2006.4776672
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发表时间：
2006
期刊：
2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control
影响因子：
--
通讯作者：
Eberhard P. Hofer
Eberhard P. Hofer
中科院分区：
--
文献类型：
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作者：
A. Rauh;M. Kletting;H. Aschemann;Eberhard P. Hofer

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本文提出了一种区间算术仿真算法，用于在不同动态模型之间进行状态依赖切换的连续时间系统的仿真。为此，必须在仿真期间评估这些模型之间所有可能转换的条件，以确定切换时间，从而获得所有状态变量的保证包络。与其他仿真方法不同的是，将所有系统参数定义为区间变量，以分析不确定因素对切换时间和整个系统动态行为的影响
In this paper, an interval arithmetic simulation algorithm is introduced for simulation of continuous-time systems with state-dependent switching between different dynamical models. For that purpose, the conditions for all possible transitions between these models have to be evaluated during simulation to determine the switching times and hence to obtain guaranteed enclosures for all state variables. In contrast to other simulation techniques, all system parameters are defined as interval variables to analyze the effect of uncertainties on the switching times and the dynamical behavior of the complete system