{"title":"A novel adaptive dynamic optimal balance control method for wheel-legged robot","authors":"","doi":"10.1016/j.apm.2024.115737","DOIUrl":null,"url":null,"abstract":"<div><div>The wheel-legged robots combine efficient and fast wheeled locomotion with the terrain-adaptive legged locomotion. Inspired by reinforcement learning and adaptive dynamic programming, a novel dynamic optimal balance control method is proposed for wheel-legged robots on uneven terrains. First, the virtual leg length is solved according to the kinematics model of the five-link closed-chain mechanism. In addition, a simplified wheel-legged spring-loaded inverted pendulum model is established to determine the linear state-space expression of the floating-base, virtual leg, and driving wheel. Second, a fast iterative algorithm built upon adaptive dynamic programming and optimal gain matrix is introduced. Using the initial gain matrix and an initial state vector, the online policy iteration learns the initial state data set generated by external disturbances, and the steps of policy evaluation and policy improvement are repeatedly implemented by Kleinman's algorithm. Subsequently, the virtual support force is controlled by the composite control framework for the length of the virtual leg with spring-damping characteristics and roll angle. The input torque for each hip joint is calculated using the virtual model control mapping technology. Finally, the robustness and adaptability of the proposed framework are verified through simulations. This paper presents a novel control method for the future application of wheel-legged robot in complex scenarios.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":null,"pages":null},"PeriodicalIF":4.4000,"publicationDate":"2024-10-01","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/S0307904X24004906","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
The wheel-legged robots combine efficient and fast wheeled locomotion with the terrain-adaptive legged locomotion. Inspired by reinforcement learning and adaptive dynamic programming, a novel dynamic optimal balance control method is proposed for wheel-legged robots on uneven terrains. First, the virtual leg length is solved according to the kinematics model of the five-link closed-chain mechanism. In addition, a simplified wheel-legged spring-loaded inverted pendulum model is established to determine the linear state-space expression of the floating-base, virtual leg, and driving wheel. Second, a fast iterative algorithm built upon adaptive dynamic programming and optimal gain matrix is introduced. Using the initial gain matrix and an initial state vector, the online policy iteration learns the initial state data set generated by external disturbances, and the steps of policy evaluation and policy improvement are repeatedly implemented by Kleinman's algorithm. Subsequently, the virtual support force is controlled by the composite control framework for the length of the virtual leg with spring-damping characteristics and roll angle. The input torque for each hip joint is calculated using the virtual model control mapping technology. Finally, the robustness and adaptability of the proposed framework are verified through simulations. This paper presents a novel control method for the future application of wheel-legged robot in complex scenarios.
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.