{"title":"Deep neural network-based adaptive supervisory control for strict-feedback nonlinear systems with sensor and actuator faults","authors":"Shanshan Guo , Jinghao Li , Guang-Hong Yang","doi":"10.1016/j.amc.2025.129745","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the adaptive supervisory control problem for strict-feedback nonlinear systems with sensor and actuator faults, where some healthy actuators serve as backups. A deep neural network whose weights are updated in real-time is introduced to approximate the unknown nonlinearities. Based on this deep neural network, an adaptive supervisory control scheme without overparameterization is developed to ensure the prescribed performance of the resulting closed-loop systems by switching from the current faulty actuator to the subsequent healthy one. It is shown that the proposed deep neural network-based adaptive supervisory control scheme can achieve superior tracking performance to the traditional two-layer neural network-based adaptive supervisory control scheme. Finally, a numerical example is provided to validate the effectiveness of the presented control scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"511 ","pages":"Article 129745"},"PeriodicalIF":3.4000,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325004709","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the adaptive supervisory control problem for strict-feedback nonlinear systems with sensor and actuator faults, where some healthy actuators serve as backups. A deep neural network whose weights are updated in real-time is introduced to approximate the unknown nonlinearities. Based on this deep neural network, an adaptive supervisory control scheme without overparameterization is developed to ensure the prescribed performance of the resulting closed-loop systems by switching from the current faulty actuator to the subsequent healthy one. It is shown that the proposed deep neural network-based adaptive supervisory control scheme can achieve superior tracking performance to the traditional two-layer neural network-based adaptive supervisory control scheme. Finally, a numerical example is provided to validate the effectiveness of the presented control scheme.
期刊介绍:
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.