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Modeling and analysis of hybrid systems: a new approach integrating Petri nets and differential equations

机译:混合系统的建模和分析:整合Petri网和微分方程的新方法

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Hybrid technical systems combine discrete-state event-driven and continuous-state time-driven behaviour. In this contribution, a general modeling formalism for such systems is proposed. The discrete subsystem is represented by an interpreted Petri net. In addition to external continuous inputs, discrete variables dependent on the net marking affect the continuous subsystem which is a time-driven state space model. Limit violations of particular continuous state variables as well as external binary inputs are interpreted as events and change the discrete state of the system. In view of the analysis of hybrid technical systems reachability and stability are defined. The modeling method is applied to a mixing tank.
机译:混合技术系统结合了离散状态事件驱动和连续状态时间驱动的行为。在此贡献中,提出了用于此类系统的一般建模形式。离散子系统由解释的Petri网表示。除了外部连续输入外,依赖于网络标记的离散变量还会影响作为时间驱动状态空间模型的连续子系统。违反特定连续状态变量以及外部二进制输入的极限将被解释为事件,并更改系统的离散状态。根据对混合技术系统的分析,定义了可达性和稳定性。该建模方法应用于混合罐。

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