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Bounding Errors Due to Switching Delays in Incrementally Stable Switched Systems ?

机译：在增量稳定的交换系统中，由于切换延迟导致的边界错误 ？

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Time delayspose an important challenge in networked control systems, which are now ubiquitous. Focusing on switched systems, we introduce a framework that provides an upper bound for errors caused by switching delays. Our framework is based onapproximate bisimulation, a notion that has been previously utilized mainly for symbolic (discrete) abstraction of state spaces. Notable in our framework is that, in deriving an approximate bisimulation and thus an error bound, we use a simple incremental stability assumption (namelyδ-GUAS) that does not itself refer to time delays. That this is the same assumption used for state-space discretization enables atwo-step workflowfor control synthesis for switched systems, in which a single Lyapunov-type stability certificate serves for two different purposes of state discretization and coping with time delays. We demonstrate the proposed framework with a boost DC-DC converter, a common example of switched systems.
机译：时间延迟在如今无处不在的网络控制系统中提出了一项重要挑战。着眼于交换系统，我们介绍了一个框架，该框架为由交换延迟引起的错误提供了上限。我们的框架基于近似双仿真，该概念以前主要用于状态空间的符号（离散）抽象。在我们的框架中值得注意的是，在推导近似双仿真并因此在误差范围内，我们使用了一个简单的增量稳定性假设（即δ-GUAS），该假设本身并不涉及时间延迟。与用于状态空间离散化的假设相同，可以实现用于交换系统控制合成的两步工作流，其中单个Lyapunov型稳定性证书可用于状态离散化和应对时间延迟的两个不同目的。我们使用升压DC-DC转换器（开关系统的常见示例）演示了所建议的框架。

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