论文标题
在延迟事件检测下平面开关系统的稳定性
Stability of Planar Switched Systems under Delayed Event Detection
论文作者
论文摘要
在本文中，我们分析了延迟事件检测对2模式平面混合自动机的稳定性的影响。我们认为所有模式都具有独特平衡点的混合自动机，并且发现保持该平衡点稳定性的最大延迟。我们还显示了一系列混合自动机对等效的杂种杂种自动机的平衡点的不稳定性，而过渡的延迟等同于混合状态空间中封闭的轨道存在，这一结果是受关节半径定理的启发。这导致了一种用于准确计算最大稳定延迟的算法。我们技术的其他潜在应用包括共同模拟，网络控制系统以及具有状态反馈控制的延迟受控开关。
In this paper, we analyse the impact of delayed event detection on the stability of a 2-mode planar hybrid automata. We consider hybrid automata with a unique equilibrium point for all the modes, and we find the maximum delay that preserves stability of that equilibrium point. We also show for the class of hybrid automata treated that the instability of the equilibrium point for the equivalent hybrid automaton with delay in the transitions is equivalent to the existence of a closed orbit in the hybrid state space, a result that is inspired by the Joint Spectral Radius theorem. This leads to an algorithm for computing the maximum stable delay exactly. Other potential applications of our technique include co-simulation, networked control systems and delayed controlled switching with a state feedback control.
