{"title":"Adaptive neural network control of manipulators with input deadband and field-of-view constraints","authors":"Jianjun Jiao , Zonggang Li , Guangqing Xia , Yinjuan Chen , Jianzhou Xin","doi":"10.1016/j.apm.2025.116311","DOIUrl":null,"url":null,"abstract":"<div><div>There exist input dead zone and field-of-view constraints in visual dynamic manipulator systems due to image information loss and uncertainty in actuator physical characteristics, which lead to reduced control accuracy, boundary-induced oscillations, motion instability, and high control energy consumption. In this study, a novel zone Barrier Lyapunov Functions based adaptive neural network visual controller is proposed to address these problems. First, the system model is transformed into an image-based second-order dynamic model, and for the unknown unmeasurable states in the model, a high-gain observer is utilized to achieve accurate estimation. Second, to improve the flexibility of the image trajectory and velocity in the constraint area, a new zone Barrier Lyapunov Functions function is introduced to the visual servoing controller. Additionally, an adaptive neural network approximates the input dead zone model and the unknown part of the system dynamics. Then, the stability of the system and the boundedness of all error signals are theoretically proven using the Lyapunov technique to ensure that the field-of-view constraints are not violated. Finally, comparative simulation and experimental results verify the effectiveness and superiority of the proposed method. The results show that our method can keep the image feature point error around 5 pixels without violating the constraints, and the overall energy consumption of the system is reduced by 83.58% compared to the BLF method and 31.58% compared to the tangent barrier Lyapunov function method, which has significant potential applications in manipulator vision systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116311"},"PeriodicalIF":4.4000,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25003865","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
There exist input dead zone and field-of-view constraints in visual dynamic manipulator systems due to image information loss and uncertainty in actuator physical characteristics, which lead to reduced control accuracy, boundary-induced oscillations, motion instability, and high control energy consumption. In this study, a novel zone Barrier Lyapunov Functions based adaptive neural network visual controller is proposed to address these problems. First, the system model is transformed into an image-based second-order dynamic model, and for the unknown unmeasurable states in the model, a high-gain observer is utilized to achieve accurate estimation. Second, to improve the flexibility of the image trajectory and velocity in the constraint area, a new zone Barrier Lyapunov Functions function is introduced to the visual servoing controller. Additionally, an adaptive neural network approximates the input dead zone model and the unknown part of the system dynamics. Then, the stability of the system and the boundedness of all error signals are theoretically proven using the Lyapunov technique to ensure that the field-of-view constraints are not violated. Finally, comparative simulation and experimental results verify the effectiveness and superiority of the proposed method. The results show that our method can keep the image feature point error around 5 pixels without violating the constraints, and the overall energy consumption of the system is reduced by 83.58% compared to the BLF method and 31.58% compared to the tangent barrier Lyapunov function method, which has significant potential applications in manipulator vision systems.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.