{"title":"针对具有高斯噪声的分数阶混沌系统的具有有限时间终端滑模控制功能的递归神经网络","authors":"Zengyue Zhan, Xiaoshan Zhao, Ruilong Yang","doi":"10.1007/s12648-023-02778-w","DOIUrl":null,"url":null,"abstract":"<div><p>A new finite-time terminal sliding mode control (TSMC) based on recurrent neural networks (RNN) is proposed aiming at fractional-order chaotic systems containing Gaussian white noise. At the same time, there are more accurate detection targets. Firstly, we can make tracking errors of state variables converge to zero quickly in finite time. Then the scheme is applied to the fractional-order PMSM system, and the effectiveness of the control scheme is verified by numerical simulation. Based on the above two points, the latter has more influence.</p></div>","PeriodicalId":584,"journal":{"name":"Indian Journal of Physics","volume":"98 1","pages":"291 - 300"},"PeriodicalIF":1.6000,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Recurrent neural networks with finite-time terminal sliding mode control for the fractional-order chaotic system with Gaussian noise\",\"authors\":\"Zengyue Zhan, Xiaoshan Zhao, Ruilong Yang\",\"doi\":\"10.1007/s12648-023-02778-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A new finite-time terminal sliding mode control (TSMC) based on recurrent neural networks (RNN) is proposed aiming at fractional-order chaotic systems containing Gaussian white noise. At the same time, there are more accurate detection targets. Firstly, we can make tracking errors of state variables converge to zero quickly in finite time. Then the scheme is applied to the fractional-order PMSM system, and the effectiveness of the control scheme is verified by numerical simulation. Based on the above two points, the latter has more influence.</p></div>\",\"PeriodicalId\":584,\"journal\":{\"name\":\"Indian Journal of Physics\",\"volume\":\"98 1\",\"pages\":\"291 - 300\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2023-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12648-023-02778-w\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s12648-023-02778-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Recurrent neural networks with finite-time terminal sliding mode control for the fractional-order chaotic system with Gaussian noise
A new finite-time terminal sliding mode control (TSMC) based on recurrent neural networks (RNN) is proposed aiming at fractional-order chaotic systems containing Gaussian white noise. At the same time, there are more accurate detection targets. Firstly, we can make tracking errors of state variables converge to zero quickly in finite time. Then the scheme is applied to the fractional-order PMSM system, and the effectiveness of the control scheme is verified by numerical simulation. Based on the above two points, the latter has more influence.
期刊介绍:
Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.