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A constraint-following control for uncertain mechanical systems: given force coupled with constraint force

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Abstract

A novel constraint-following control for uncertain mechanical systems is proposed. In mechanical systems, certain given forces may arise due to the constraint forces, which means the given forces are coupled with the constraint forces. By using the second-order form of the constraints, the given forces are decoupled explicitly. The uncertainty of the mechanical system is time-varying and bounded. But its bound is unknown. A series of adaptive parameters are invoked to estimate the bound information of the uncertainty in virtue of state feedback. Based on the estimated bound information, a robust control is designed to render the mechanical system an approximate constraint-following. The system performance under the control is guaranteed as uniform boundedness and uniform ultimate boundedness.

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Acknowledgements

Ruiying Zhao is supported by the National Natural Science Foundation of China (Grant No. 51605038) and Natural Science Basic Research Plan in Shaanxi Province of China (No. 2017JQ5034). Shengjie Jiao is supported by the National Science and Technology Pillar Program (No. 2015BAF07B08).

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Authors and Affiliations

  1. National Engineering Laboratory for Highway Maintenance Equipment, Chang’an University, Xi’an, 710065, Shaanxi, People’s Republic of China

    Ruiying Zhao, Shengjie Jiao & Xiyong Ma

  2. The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Ye-Hwa Chen

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  1. Ruiying Zhao
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  2. Ye-Hwa Chen
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  3. Shengjie Jiao
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Correspondence to Ruiying Zhao.

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Zhao, R., Chen, YH., Jiao, S. et al. A constraint-following control for uncertain mechanical systems: given force coupled with constraint force. Nonlinear Dyn 93, 1201–1217 (2018). https://doi.org/10.1007/s11071-018-4253-7

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  • DOI: https://doi.org/10.1007/s11071-018-4253-7

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