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Robust cooperative control for micro/nano scale systems subject to time-varying delay and structured uncertainties

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Abstract

In this study, a robust cooperative control methodology is proposed for a class of micro/nano scale systems in the field of biomedical engineering. Due to the complexity of actual environment, the dynamic behavior of the micro/nano scale systems changes over time. The time-varying uncertainties are considered to be restricted to a certain range. Then, a robust cooperative control strategy is designed such that the micro-agents with structured uncertainties can securely cooperative with each other to accomplish the tasks. Furthermore, sufficient conditions ensuring the cooperativity of micro/nano scale systems are derived by constructing a novel Lyapunov functional. It is proved that the cooperative control problem for micro/nano scale systems can be solved if the control parameters are appropriately selected. A simulation example is presented to demonstrate the validity of the obtained algorithm.

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Acknowledgments

This work was partially supported by National Key R&D Program of China (2018YFB1700400), the Innovative Research Team Program of Guangdong Province Science Foundation (2018B030312006), the Fundamental Research Funds for the Central Universities (2017FZA5010), the Science and Technology Planning Project of Guangdong Province (2017B010116006).

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Authors and Affiliations

  1. Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangzhou, 510006, China

    Yanzhou Li, Yongkang Lu, Yuanqing Wu & Shenghuang He

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  1. Yanzhou Li
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  2. Yongkang Lu
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  3. Yuanqing Wu
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  4. Shenghuang He
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Correspondence to Yongkang Lu.

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Li, Y., Lu, Y., Wu, Y. et al. Robust cooperative control for micro/nano scale systems subject to time-varying delay and structured uncertainties. Int J Adv Manuf Technol 105, 4863–4873 (2019). https://doi.org/10.1007/s00170-019-03832-w

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  • DOI: https://doi.org/10.1007/s00170-019-03832-w

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