论文标题
在干扰下安全控制一类抛物线PDE的一种投入到国家安全方法
An Input-to-State Safety Approach Towards Safe Control of a Class of Parabolic PDEs Under Disturbances
论文作者
论文摘要
通过部分微分方程（PDE）建模的分布式参数系统（DPSS）越来越容易受到来自各种来源的干扰的影响。尽管在现有文献中发现了PDE系统中的障碍的检测受到了很大的关注，但在干扰下对PDE的安全控制仍然显着探索。在这种情况下，我们探讨了一种由线性抛物线PDE建模的一类DPSS的基于实用的输入安全性（PISSF）的控制设计方法。具体而言，我们为这类系统开发了一个控制设计框架，并基于控制Lyapunov功能和控制屏障功能可以保证安全性和稳定性。为了说明我们的方法论，我们将策略应用于设计用于电池模块的热控制系统。进行了几项模拟研究以显示我们方法的功效。
Distributed Parameter Systems (DPSs), modelled by partial differential equations (PDEs), are increasingly vulnerable to disturbances arising from various sources. Although detection of disturbances in PDE systems have received considerable attention in existing literature, safety control of PDEs under disturbances remains significantly under-explored. In this context, we explore a practical input-to-state safety (pISSf) based control design approach for a class of DPSs modelled by linear Parabolic PDEs. Specifically, we develop a control design framework for this class of system with both safety and stability guarantees based on control Lyapunov functional and control barrier functional. To illustrate our methodology, we apply our strategy to design a thermal control system for battery modules under disturbance. Several simulation studies are done to show the efficacy of our method.
