Title: An Input-to-State Safety Approach Towards Safe Control of a Class of Parabolic PDEs Under Disturbances Show Chinese title

Title: 一种输入到状态安全的方法用于在干扰下对一类抛物型PDE的安全控制

Abstract: 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. Show Chinese abstract

Abstract: 分布式参数系统（DPSs），由偏微分方程（PDEs）建模，越来越容易受到来自各种来源的扰动的影响。 尽管现有的文献中已经对PDE系统中的扰动检测进行了大量研究，但在扰动下PDE的安全控制仍显著缺乏探索。 在此背景下，我们探讨了一种基于实用输入到状态安全（pISSf）的控制设计方法，用于一类由线性抛物型PDE建模的DPSs。 具体而言，我们开发了一个控制设计框架，该框架基于控制李雅普诺夫泛函和控制障碍泛函，为这类系统提供安全性和稳定性保证。 为了说明我们的方法，我们将策略应用于在扰动下设计电池模块的热控制系统。 进行了若干仿真实验以展示我们方法的有效性。