Formal Verification of Dynamical Control Systems (Addressing Integral Windup Phenomena Using Model-Checking)

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-11-15 DOI:10.37394/23203.2023.18.41

Mohammed Tloul, M. Schwarz, J. Börcsök

引用次数: 0

Abstract

This paper investigates the utilization of model-checking as a potent method for verifying system designs, emphasizing its early error detection capabilities, reducing failures, increasing safety, and saving costs. The study explores the application of the UPPAAL tool and model-checking techniques within control systems. A case study in the paper concentrates on formally verifying Proportional Integral Derivative (PID) controllers, emphasizing integral windup issues. A model is constructed in UPPAAL for a control system that includes the system dynamics and the actuator limitations. The model’s accuracy is validated against the MATLAB/Simulink® model. Formal requirements addressing integral windup are formulated, and a practical model-checking example using UPPAAL illustrates its utility in control system verification.

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动态控制系统的形式化验证（利用模型检查解决积分上升现象）

本文研究了利用模型检查作为验证系统设计的有效方法，强调其早期错误检测能力、减少故障、提高安全性和节约成本。研究探讨了 UPPAAL 工具和模型检查技术在控制系统中的应用。论文中的一个案例研究集中于正式验证比例积分微分（PID）控制器，强调了积分上升问题。在 UPPAAL 中为控制系统构建了一个模型，其中包括系统动力学和执行器限制。根据 MATLAB/Simulink® 模型验证了模型的准确性。制定了解决积分上升问题的正式要求，并通过使用 UPPAAL 的实际模型检查示例说明了其在控制系统验证中的实用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.