Abstract
This paper investigates the distributed finite-time formation problem of quadrotors using the information of relative position only. A high-gain observer is constructed to estimate the relative velocity through the relative position. Based on the estimated relative velocity, nonsingular terminal sliding mode (NTSM) protocols are designed for followers. The control protocols for the position subsystem of quadrotors are developed by the combination of the isokinetic trending law and the idempotent trending law, which guarantees the realization of finite-time formation accurately and quickly in the presence of the bounded external disturbances and internal uncertainties. Moreover, an idempotent term is introduced to the attitude subsystem, which eliminates the chattering caused by the isokinetic trending law. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lei, C., Sun, W., Yeow, J.T.W.: A distributed output regulation problem for multi-agent linear systems with application to leader-follower robot’s formation control. In: Proceedings of the 35th Chinese Control Conference, pp. 614–619. IEEE (2016)
Sabol, C., Burns, R., Mclaughlin, C.A.: Satellite formation flying design and evolution. J. Spacecraft Rockets 38(2), 270–278 (2012)
Anderson, B.D.O., Yu, C.: Range-only sensing for formation shape control and easy sensor network localization. In: Proceedings of the 2011 Chinese Control and Decision Conference, pp. 3310–3315. IEEE (2011)
Hua, C., Chen, J., Li, Y.: Leader-follower finite-time formation control of multiple quadrotors with prescribed performance. Int. J. Syst. Sci. 48(16), 1–10 (2017)
Beard, R.W., Lawton, J., Hadaegh, F.Y.: A coordination architecture for spacecraft formation control. IEEE Trans. Control Syst. Technol. 9(6), 777–790 (2001)
Ding, S., Li, S.: A survey for finite-time control problems. Control Decis. 26(2), 161–169 (2011)
Sun, C., Hu, G., Xie, L.: Fast finite-time consensus tracking for first-order multi-agent systems with unmodelled dynamics and disturbances. In: Proceedings of the 11th IEEE International Conference on Control & Automation, pp. 249–254. IEEE (2014)
Fu, J., Wang, Q., Wang, J.: Global saturated finite-time consensus tracking for uncertain second-order multi-agent systems with directed communication graphs. In: Proceedings of the 35th Chinese Control Conference, pp. 7684–7689. IEEE (2016)
Fu, J., Wang, Q., Wang, J.: Robust finite-time consensus tracking for second-order multi-agent systems with input saturation under general directed communication graphs. Int. J. Control, 1–25 (2017)
Wang, X., Li, S.: Consensus disturbance rejection control for second-order multi-agent systems via nonsingular terminal sliding-mode control. In: Proceedings of the 14th International Workshop on Variable Structure Systems, pp. 114–119. IEEE (2016)
Han, T., Guan, Z.H., Liao, R.Q., et al.: Distributed finite-time formation tracking control of multi-agent systems via FTSMC approach. IET Control Theor. Appl. 11(15), 2585–2590 (2017)
Bondy, J.A., Murty, U.S.R.: Graph theory with applications. North Holland (1976)
Hu, J., Hong, Y.: Leader-following coordination of multi-agent systems with coupling time delays. Physica A Stat. Mech. Appl. 374(2), 853–863 (2007)
Chen, W.C., Xiao, Y.L., Zhao, L.H., et al.: Kernel matrix of quaternion and its application in spacraft attitude control. Acta Aeronautica Et Astronautica Sinic 21(5), 389–392 (2000)
Liu, J.K.: Sliding Mode Variable Structure Control and Matlab Simulation. 3rd edn. Tsinghua University press (2015)
Tran, M.D., Kang, H.J.: Nonsingular terminal sliding mode control of uncertain second-order nonlinear systems. Math. Probl. Eng. 2, 1–8 (2015)
Acknowledgments
The authors would thank the National Natural Science Foundation of China (Grant No. U1713223 and 61673325) and the Chancellor Fund of Xiamen University (Grant No. 20720180090) for supporting this research.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Ke, J., Chen, K., Wang, J., Zeng, J. (2019). Quadrotors Finite-Time Formation by Nonsingular Terminal Sliding Mode Control with a High-Gain Observer. In: Krömer, P., Zhang, H., Liang, Y., Pan, JS. (eds) Proceedings of the Fifth Euro-China Conference on Intelligent Data Analysis and Applications. ECC 2018. Advances in Intelligent Systems and Computing, vol 891. Springer, Cham. https://doi.org/10.1007/978-3-030-03766-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-03766-6_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-03765-9
Online ISBN: 978-3-030-03766-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)