Further results on fixed-time control for nonlinear systems with asymmetric output constraints

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2024-09-23 DOI:10.1016/j.automatica.2024.111933

Huifang Min , Shang Shi , Jason Gu , Na Duan

{"title":"Further results on fixed-time control for nonlinear systems with asymmetric output constraints","authors":"Huifang Min , Shang Shi , Jason Gu , Na Duan","doi":"10.1016/j.automatica.2024.111933","DOIUrl":null,"url":null,"abstract":"<div><div>This paper concerns the fixed-time control with an arbitrarily prescribed upper bound of settling-time (UBST) for nonlinear systems with asymmetric output constraints. We introduce a novel time-varying gain function that effectively addresses the issue of infinite-gain, which has been a challenge in related research. By utilizing this gain function, we present two theorems that employ the Lyapunov function for constrained nonlinear systems. These theorems serve as guidelines for constructing controllers without violation of constraints. In addition, a novel barrier Lyapunov function (BLF) is exploited which is equivalent to the classical one for nonlinear systems without constraints. By using the proposed theorems, BLF and fixed-time backstepping design procedure, a state-feedback controller is constructed and analyzed for output-constrained nonlinear systems. It is proved that the designed controller can render the closed-loop system converges to the origin within a fixed settling time while maintaining at the origin thereafter, the controller is uniformly bounded and the output constraints are not violated. Finally, simulations and comparisons are provided to verify the proposed control schemes.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":null,"pages":null},"PeriodicalIF":4.8000,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0005109824004278/pdfft?md5=865255b5af5e705c2cca0a9f80a48a54&pid=1-s2.0-S0005109824004278-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109824004278","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

Abstract

This paper concerns the fixed-time control with an arbitrarily prescribed upper bound of settling-time (UBST) for nonlinear systems with asymmetric output constraints. We introduce a novel time-varying gain function that effectively addresses the issue of infinite-gain, which has been a challenge in related research. By utilizing this gain function, we present two theorems that employ the Lyapunov function for constrained nonlinear systems. These theorems serve as guidelines for constructing controllers without violation of constraints. In addition, a novel barrier Lyapunov function (BLF) is exploited which is equivalent to the classical one for nonlinear systems without constraints. By using the proposed theorems, BLF and fixed-time backstepping design procedure, a state-feedback controller is constructed and analyzed for output-constrained nonlinear systems. It is proved that the designed controller can render the closed-loop system converges to the origin within a fixed settling time while maintaining at the origin thereafter, the controller is uniformly bounded and the output constraints are not violated. Finally, simulations and comparisons are provided to verify the proposed control schemes.

查看原文本刊更多论文

具有非对称输出约束的非线性系统固定时间控制的进一步结果

本文涉及具有非对称输出约束的非线性系统的具有任意规定的沉降时间上限（UBST）的固定时间控制。我们引入了一种新颖的时变增益函数，有效解决了相关研究中一直面临的无限增益问题。通过利用该增益函数，我们提出了两个定理，这些定理利用了受约束非线性系统的 Lyapunov 函数。这些定理可作为构建不违反约束条件的控制器的指南。此外，我们还利用了一种新的障碍 Lyapunov 函数 (BLF)，该函数等同于无约束非线性系统的经典函数。利用所提出的定理、BLF 和固定时间反步进设计程序，构建并分析了输出约束非线性系统的状态反馈控制器。结果证明，所设计的控制器能使闭环系统在固定的沉淀时间内收敛到原点，此后则保持在原点，控制器是均匀有界的，并且不违反输出约束。最后，通过模拟和比较验证了所提出的控制方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.