Lifting-based PWA control: A global solution to handle disturbances in the state space partitions

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-08-23 DOI:10.1016/j.automatica.2025.112529

Songlin Yang, Sorin Olaru, Pedro Rodriguez-Ayerbe

引用次数: 0

Abstract

This paper presents a global strategy to address the robustness and fragility of Piecewise Affine (PWA) control, which arises from geometrical perturbations in state-space partitions. Existing methods, which handle perturbations using vertex-based or halfspace-based region representations, are limited to local adjustments of vertices or hyperplanes. In contrast, this paper introduces a novel convex lifting-based region representation that accounts for all subregions of the PWA control perturbation simultaneously. An optimization-based approach is then proposed to enhance the robustness or fragility of the nominal PWA control by refining the lifting-based representation. A numerical example illustrates the effectiveness of the proposed framework.

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基于提升的PWA控制：处理状态空间分区中干扰的全局解决方案

本文提出了一种全局策略来解决由状态空间分区中的几何扰动引起的分段仿射（PWA）控制的鲁棒性和脆弱性。现有的方法使用基于顶点或半空间的区域表示来处理扰动，这些方法仅限于顶点或超平面的局部调整。相反，本文引入了一种新的基于凸提升的区域表示，它同时考虑了PWA控制扰动的所有子区域。然后提出了一种基于优化的方法，通过改进基于提升的表示来增强标称PWA控制的鲁棒性或脆弱性。数值算例说明了该框架的有效性。

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

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.