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Global Exponential Rendezvous Control of Nonholonomic Unicycle Vehicles with Directed Communication Topology

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Proceedings of 2020 Chinese Intelligent Systems Conference (CISC 2020)

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Abstract

This paper studies the full-state rendezvous control problem of multiple nonholonomic unicycle systems. A distributed state feedback time-varying control law is derived by exploiting model transformation, input-output feedback linearization technology, linear cooperation control theory and graph theory. Based on the carefully constructed output-like variable, the input-output feedback linearization approach overcomes the underactuated control challenge, makes the choice of controller parameters independent of initial states of vehicles, and allows the linear control theory applicable, rather than using the Lyapunov method and hence requiring the information flow undirected. Stability analysis proves that all the unicycle vehicles globally exponentially converge to a common fixed location and orientation, provided that the communication topology is directed and having a spanning tree. A numerical simulation is implemented for five nonholonomic unicycle vehicles, demonstrating the effectiveness of the proposed control scheme.

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References

  1. Zhu, B., Xie, L., Han, D., Meng, X., Teo, R.: A survey on recent progress in control of swarm systems. Sci. China Inf. Sci. 60(7), 070201 (2017)

    Article  MathSciNet  Google Scholar 

  2. Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)

    Google Scholar 

  3. Dong, W., Farrell, J.A.: Formation control of multiple underactuated surface vessels. IET Control Theory Appl. 2(12), 1077–1085 (2008)

    Article  MathSciNet  Google Scholar 

  4. Zou, Y., Wen, C., Guan, M.: Distributed adaptive control for distance-based formation and flocking control of multi-agent systems. IET Control Theory Appl. 13(6), 878–885 (2019)

    Article  MathSciNet  Google Scholar 

  5. Cao, K., Jiang, B., Yue, D.: Rendezvous of multiple nonholonomic unicycles-based on backstepping. Int. J. Control 91(6), 1271–1283 (2018)

    Article  MathSciNet  Google Scholar 

  6. Huang, J., Chen, J., Fang, H., Dou, L.: An overview of recent progress in high-order nonholonomic chained system control and distributed coordination. J. Control Decis. 2(1), 64–85 (2015)

    Article  MathSciNet  Google Scholar 

  7. Defoort, M., Demesure, G., Zuo, Z., Polyakov, A., Djemai, M.: Fixed-time stabilisation and consensus of non-holonomic systems. IET Control Theory Appl. 10(18), 2497–2505 (2016)

    Article  MathSciNet  Google Scholar 

  8. Xie, W., Ma, B.: Position centroid rendezvous and centroid formation of multiple unicycle agents. IET Control Theory Appl. 8(17), 2055–2061 (2014)

    Article  Google Scholar 

  9. Li, P., Shengyuan, X., Chen, W., Wei, Y., Zhang, Z.: A connectivity preserving rendezvous for unicycle agents with heterogenous input disturbances. J. Franklin Inst. 355(10), 4248–4267 (2018)

    Article  MathSciNet  Google Scholar 

  10. Dimarogonas, D.V., Kyriakopoulos, K.J.: On the rendezvous problem for multiple nonholonomic agents. IEEE Trans. Autom. Control 52(5), 916–922 (2007)

    Google Scholar 

  11. Jafarian, M.: Robust consensus of unicycles using ternary and hybrid controllers. Int. J. Robust Nonlinear Control 27(17), 4013–4034 (2017)

    MathSciNet  MATH  Google Scholar 

  12. Maghenem, M., Bautista, A., Nuño, E., Loría, A., Panteley, E.: Consensus of multi-agent systems with nonholonomic restrictions via Lyapunov’s direct method. IEEE Control Syst. Lett. 3(2), 344–349 (2018)

    Article  Google Scholar 

  13. Ajorlou, A., Aghdam, A.G.: Connectivity preservation in nonholonomic multi-agent systems: a bounded distributed control strategy. IEEE Trans. Autom. Control 58(9), 2366–2371 (2013)

    Google Scholar 

  14. Yu, J., LaValle, S.M., Liberzon, D.: Rendezvous without coordinates. IEEE Trans. Autom. Control 57(2), 421–434 (2011)

    Google Scholar 

  15. Yaojin, X., Tian, Y.-P., Chen, Y.Q.: Output consensus for multiple non-holonomic systems under directed communication topology. Int. J. Syst. Sci. 46(3), 451–463 (2015)

    Article  MathSciNet  Google Scholar 

  16. Haibo, D., Wen, G., Cheng, Y., He, Y., Jia, R.: Distributed finite-time cooperative control of multiple high-order nonholonomic mobile robots. IEEE Trans. Neural Netw. Learn. Syst. 28(12), 2998–3006 (2016)

    MathSciNet  Google Scholar 

  17. Zhai, G., Takeda, J., Imae, J., Kobayashi, T.: Towards consensus in networked non-holonomic systems. IET Control Theory Appl. 4(10), 2212–2218 (2010)

    Google Scholar 

  18. Xie, W., Ma, B.: Smooth time-invariant control for leaderless consensus of networked nonholonomic systems. Int. J. Adv. Robot. Syst. 14(6), 1–9 (2017)

    Article  Google Scholar 

  19. Xie, W., Ma, B., Huang, W., Zhao, Y., Fernando, T.: Asymptotic leaderless consensus control of nonholonomic chained systems. In: 2019 Chinese Control Conference (CCC), pp. 715–720. IEEE (2019)

    Google Scholar 

  20. Xie, W., Ma, B., Fernando, T., Iu, H.H.-C.: A new formation control of multiple underactuated surface vessels. Int. J. Control 91(5), 1011–1022 (2018)

    Google Scholar 

Download references

Funding

This work was supported by Fundamental Research Funds for the Central Universities (No. XDJK2020C036), and Development and Application Demonstration of Intelligent Light Pole Internet of Things System of Chongqing Science and Technology Commission (No. cstc2017zdcy-zdyfX0054).

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Correspondence to Wenjing Xie .

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Zhao, Y., Xing, B., Huang, W., Luo, S., Li, P., Xie, W. (2021). Global Exponential Rendezvous Control of Nonholonomic Unicycle Vehicles with Directed Communication Topology. In: Jia, Y., Zhang, W., Fu, Y. (eds) Proceedings of 2020 Chinese Intelligent Systems Conference. CISC 2020. Lecture Notes in Electrical Engineering, vol 706. Springer, Singapore. https://doi.org/10.1007/978-981-15-8458-9_59

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