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Impulsive synchronization motion in networked open-loop multibody systems

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Abstract

This paper presents a procedure for studying impulsive synchronization motion in networked open-loop multibody systems formulated by Lagrange dynamics. Impulsive motion occurs when the networked systems are physically subject to either direct or indirect impulsive effects, or when subjected to both simultaneously. The impulsive effects are usually caused by impulsive forces or impulsive constraints. The governing equations of networked open-loop multibody systems are developed from Lagrange formulation. The procedure automatically incorporates a preliminary feedback control and the effects of impulsive constraints through its analysis. Some generic criteria on exponential synchronization of the system output with respect to generalized coordinates and its velocities over, respectively, undirected fixed and switching network topologies, are derived analytically. The procedure shows that impulsive synchronization motion in networked open-loop multibody systems can achieve by impulsive constraints strategies. Two examples and simulations are used to demonstrate and validate the analysis procedure.

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Acknowledgements

This research is supported by the National Science Foundation of China under Grant Numbers 10972129, 10832006, and 11272191; Specialized Research Foundation for the Doctoral Program of Higher Education under Grant Number 200802800015; Natural Science Program of Anhui Higher Education Institution under Grant Number KJ2010B164. The authors sincerely thank the anonymous reviewers and the associate editor for their valuable comments that have led to the present improved version of the original manuscript.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, and Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, P.R. China

    Xing-Jie Wu, Jin Zhou, Chun-Nan Lin & Hua Zhang

  2. Department of Mathematics, Hefei Normal University, Hefei, Anhui, 230061, P.R. China

    Xing-Jie Wu

  3. Department of Physics, School of Science, Shanghai University, Shanghai, 200444, P.R. China

    Lan Xiang

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  1. Xing-Jie Wu
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  2. Jin Zhou
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  3. Lan Xiang
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  4. Chun-Nan Lin
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  5. Hua Zhang
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Correspondence to Jin Zhou.

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Wu, XJ., Zhou, J., Xiang, L. et al. Impulsive synchronization motion in networked open-loop multibody systems. Multibody Syst Dyn 30, 37–52 (2013). https://doi.org/10.1007/s11044-012-9340-9

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