Cheng Chen , Yunping Liu , Yonghong Zhang , Wanqiang Xi
{"title":"利用自适应降阶GPEBO增强四旋翼无人机的抗干扰能力","authors":"Cheng Chen , Yunping Liu , Yonghong Zhang , Wanqiang Xi","doi":"10.1016/j.jfranklin.2025.108082","DOIUrl":null,"url":null,"abstract":"<div><div>This paper proposed an adaptive reduced-order generalized parameter estimation-based observer (GPEBO) to simultaneously reconstruct the unavailable states and unknown parameters for a quadrotor UAV to realize trajectory tracking control without velocity measurements. More specifically. Firstly, the model of a quadrotor UAV is built and divided into position and attitude loop subsystems. Secondly, a linear regression equation (LRE) is constructed using the GPEBO technique to transform the tasks of state estimation into parameter estimation, only utilizing the output information of the plant after the reparameterization of the system where a state affine nonlinear system. Then, the GPEBO technique is adopted again to reconstruct the parameters of LRE to obtain a new LRE that combines the dynamic regressor extension and mixing (DREM) estimator to generate a set of scalar LREs under extremely weak conditions, observability of the system, which are much weaker than persistent excitation (PE) conditions. In addition, a time-varying forgetting factor is incorporated into the developed observer to track possible time-varying parameters. Subsequently, the information that the developed observer estimates is introduced into the non-singular fast terminal sliding model controller (NFTSMC) based on complete information in an equivalent way to form a composite controller scheme. The stability proof of the closed-loop system will be rigorously proven via the Lyapunov stability theory. Finally, comparing the proposed control scheme with the classic active disturbance rejection control (ADRC), which is widely popular, an obvious merit is that the system output of the proposed scheme can quickly converge to the desired value, and the developed observer can also be extended to a broader class of state affine nonlinear systems.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108082"},"PeriodicalIF":4.2000,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An enhanced anti-disturbance of quadrotor UAV via the adaptive reduced-order GPEBO\",\"authors\":\"Cheng Chen , Yunping Liu , Yonghong Zhang , Wanqiang Xi\",\"doi\":\"10.1016/j.jfranklin.2025.108082\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper proposed an adaptive reduced-order generalized parameter estimation-based observer (GPEBO) to simultaneously reconstruct the unavailable states and unknown parameters for a quadrotor UAV to realize trajectory tracking control without velocity measurements. More specifically. Firstly, the model of a quadrotor UAV is built and divided into position and attitude loop subsystems. Secondly, a linear regression equation (LRE) is constructed using the GPEBO technique to transform the tasks of state estimation into parameter estimation, only utilizing the output information of the plant after the reparameterization of the system where a state affine nonlinear system. Then, the GPEBO technique is adopted again to reconstruct the parameters of LRE to obtain a new LRE that combines the dynamic regressor extension and mixing (DREM) estimator to generate a set of scalar LREs under extremely weak conditions, observability of the system, which are much weaker than persistent excitation (PE) conditions. In addition, a time-varying forgetting factor is incorporated into the developed observer to track possible time-varying parameters. Subsequently, the information that the developed observer estimates is introduced into the non-singular fast terminal sliding model controller (NFTSMC) based on complete information in an equivalent way to form a composite controller scheme. The stability proof of the closed-loop system will be rigorously proven via the Lyapunov stability theory. Finally, comparing the proposed control scheme with the classic active disturbance rejection control (ADRC), which is widely popular, an obvious merit is that the system output of the proposed scheme can quickly converge to the desired value, and the developed observer can also be extended to a broader class of state affine nonlinear systems.</div></div>\",\"PeriodicalId\":17283,\"journal\":{\"name\":\"Journal of The Franklin Institute-engineering and Applied Mathematics\",\"volume\":\"362 16\",\"pages\":\"Article 108082\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2025-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of The Franklin Institute-engineering and Applied Mathematics\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0016003225005745\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003225005745","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
An enhanced anti-disturbance of quadrotor UAV via the adaptive reduced-order GPEBO
This paper proposed an adaptive reduced-order generalized parameter estimation-based observer (GPEBO) to simultaneously reconstruct the unavailable states and unknown parameters for a quadrotor UAV to realize trajectory tracking control without velocity measurements. More specifically. Firstly, the model of a quadrotor UAV is built and divided into position and attitude loop subsystems. Secondly, a linear regression equation (LRE) is constructed using the GPEBO technique to transform the tasks of state estimation into parameter estimation, only utilizing the output information of the plant after the reparameterization of the system where a state affine nonlinear system. Then, the GPEBO technique is adopted again to reconstruct the parameters of LRE to obtain a new LRE that combines the dynamic regressor extension and mixing (DREM) estimator to generate a set of scalar LREs under extremely weak conditions, observability of the system, which are much weaker than persistent excitation (PE) conditions. In addition, a time-varying forgetting factor is incorporated into the developed observer to track possible time-varying parameters. Subsequently, the information that the developed observer estimates is introduced into the non-singular fast terminal sliding model controller (NFTSMC) based on complete information in an equivalent way to form a composite controller scheme. The stability proof of the closed-loop system will be rigorously proven via the Lyapunov stability theory. Finally, comparing the proposed control scheme with the classic active disturbance rejection control (ADRC), which is widely popular, an obvious merit is that the system output of the proposed scheme can quickly converge to the desired value, and the developed observer can also be extended to a broader class of state affine nonlinear systems.
期刊介绍:
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.