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arXiv 2201.02239eess.SYcs.SYmath.DSmath.OC
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扰动下一类抛物型偏微分方程安全控制的输入-状态安全方法

An Input-to-State Safety Approach Towards Safe Control of a Class of Parabolic PDEs Under Disturbances

Tanushree Roy, Ashley Knichel, Satadru Dey

AI总结:

针对扰动下一类线性抛物型偏微分方程描述的分布式参数系统,提出基于实用输入-状态安全的控制设计框架,结合控制Lyapunov泛函与控制barrier泛函同时保证安全性与稳定性,并通过电池模组热控制仿真验证其有效性。

摘要:

由偏微分方程(PDEs)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扰动影响。尽管现有文献对PDE系统中的扰动检测给予了相当多的关注,但扰动下PDE的安全控制仍然明显未被充分探索。在此背景下,我们探索了一种基于实用输入-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,我们基于控制Lyapunov泛函和控制barrier泛函,为这类系统开发了一个同时具有安全性与稳定性保证的控制设计框架。为说明我们的方法,我们将该策略应用于设计电池模组在扰动下的热控制系统。多项仿真研究验证了我们方法的有效性。

英文摘要:

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.

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