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Consensus in networks of uncertain robot manipulators without using neighbors’ velocity information

Published online by Cambridge University Press:  30 June 2021

Seyed Mostafa Almodarresi Open the ORCID record for Seyed Mostafa Almodarresi [Opens in a new window] ,
Marzieh Kamali  and
Farid Sheikholeslam
Seyed Mostafa Almodarresi*
Affiliation:
Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan84156-83111, Iran
Marzieh Kamali
Affiliation:
Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan84156-83111, Iran
Farid Sheikholeslam
Affiliation:
Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan84156-83111, Iran
*
*Corresponding author. Email: [email protected]
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Abstract

In this paper, new distributed adaptive methods are proposed for solving both leaderless and leader–follower consensus problems in networks of uncertain robot manipulators, by estimating only the gravitational torque forces. Comparing with the existing adaptive methods, which require the estimation of the whole dynamics, presented methods reduce the excitation levels required for efficient parameter search, the convergence time, and the complexity of the regressor. Additionally, proposed schemes eliminate the need for velocity information exchange between the agents. Global asymptotic synchronization is shown by introducing new Lyapunov functions. Simulation results are provided for a network of 10 4-DOF robot manipulators.

Keywords

ConsensusMulti-agent systemsEuler–Lagrange systemRobot manipulatorsDistributed controlAdaptive gravity compensation
Type
Article
Information
Robotica , Volume 40 , Issue 2 , February 2022 , pp. 403 - 419
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Li, P., “Global finite-time attitude consensus tracking control for a group of rigid spacecraft,” Int. J. Syst. Sci. 48(13), 2703–2712 (2017).CrossRefGoogle Scholar
Schiffer, J., DÖrfler, F. and Fridman, E., “Robustness of distributed averaging control in power systems: Time delays & dynamic communication topology,” Automatica 80, 261–271 (2017). https://doi.org/10.1016/j.automatica.2017.02.040.CrossRefGoogle Scholar
Liu, Y. and Bucknall, R., “A survey of formation control and motion planning of multiple unmanned vehicles,” Robotica 36(7), 1019–1047 (2018).CrossRefGoogle Scholar
Hou, Z. and Zhang, G., “Fast convergence of multi-quadrotor cooperation using weighted-neighbor-based control,” Robotica, 1–18 (2021). doi: 10.1017/S0263574721000126.CrossRefGoogle Scholar
Olfati-Saber, R. and 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
Ren, W. and Beard, R. W., “Consensus Algorithms for Double-Integrator Dynamics,” In: Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications (2008) pp. 77–104.Google Scholar
Yu, W., Chen, G. and Cao, M., “Consensus in directed networks of agents with nonlinear dynamics,” IEEE Trans. Autom. Control 56(6), 1436–1441 (2011).Google Scholar
Qu, Z., Wang, J. and Hull, R. A., “Cooperative control of dynamical systems with application to autonomous vehicles,” IEEE Trans. Autom. Control 53(4), 894–911 (2008).Google Scholar
Ortega, R., Loria, A., Nicklasson, P. J. and Sira-Ramirez, H., Passivity-Based Control of Euler–Lagrange Systems: Mechanical, Electrical and Electromechanical Applications (Springer-Verlag, London, UK, 1998).CrossRefGoogle Scholar
NuÑo, E. and Ortega, R., “Achieving consensus of Euler-Lagrange agents with interconnecting delays and without velocity measurements via passivity-based control,” IEEE Trans. Control Syst. Technol. 26(1), 222–232 (2017).CrossRefGoogle Scholar
Abdessameud, A., Tayebi, A. and Polushin, I. G., “On the Leader-Follower Synchronization of Euler-Lagrange Systems,” 2015 IEEE 54th Annual Conference on Decision and Control (CDC) (IEEE, 2015) pp. 1054–1059.CrossRefGoogle Scholar
Chen, F., Feng, G., Liu, L. and Ren, W., “Distributed average tracking of networked Euler-Lagrange systems,” IEEE Trans. Autom. Control 60(2), 547–552 (2015).Google Scholar
Wang, H., “Passivity based synchronization for networked robotic systems with uncertain kinematics and dynamics,” Automatica 49(3), 755–761 (2013).CrossRefGoogle Scholar
Chen, G., Yue, Y. and Song, Y., “Finite-time cooperative-tracking control for networked Euler–Lagrange systems,” IET Control Theory Appl. 7(11), 1487–1497 (2013).CrossRefGoogle Scholar
Meng, Z. and Lin, Z., “Distributed Finite-Time Cooperative Tracking of Networked Lagrange Systems via Local Interactions,” 2012 American Control Conference (ACC) (IEEE, 2012) pp. 4951–4956.CrossRefGoogle Scholar
Xu, T., Duan, Z., Sun, Z. and Chen, G., “Distributed fixed-time coordination control for networked multiple Euler-Lagrange systems,” IEEE Trans. Cybern. (2020). doi: http://doi.org/10.1109/TCYB.2020.303188710.1109/TCYB.2020.3031887.CrossRefGoogle Scholar
Yang, Q., Fang, H., Chen, J. and Wang, X., “Distributed observer-based coordination for multiple lagrangian systems using only position measurements,” IET Control Theory Appl. 8(17), 2102–2114 (2014).CrossRefGoogle Scholar
Rahimi, N., Binazadeh, T. and Shasadeghi, M., “Observer-based consensus of higher-order nonlinear heterogeneous multiagent systems with unmatched uncertainties: Application on robotic systems,” Robotica 38(9), 1605–1626 (2020).Google Scholar
Nuno, E., Sarras, I. and Basanez, L., “Consensus in networks of nonidentical Euler–Lagrange systems using p+ d controllers,” IEEE Trans. Robotics 29(6), 1503–1508 (2013).Google Scholar
Almodarresi, S. M. and Namvar, M., “Decentralized Adaptive Control of Robotic Systems Using Uncalibrated Joint Torque Sensors,” 2016 IEEE 55th Conference on Decision and Control (CDC) (IEEE, 2016) pp. 2689–2694.CrossRefGoogle Scholar
Slotine, J.-J. and Weiping, L., “Adaptive manipulator control: A case study,” IEEE Trans. Autom. Control 33(11), 995–1003 (1988).Google Scholar
Nuno, E., Ortega, R., Basanez, L. and Hill, D., “Synchronization of networks of nonidentical euler-lagrange systems with uncertain parameters and communication delays,” IEEE Trans. Autom. Control 56(4), 935–941 (2011).Google Scholar
Abdessameud, A., Tayebi, A. and Polushin, I. G., “Leader-follower synchronization of Euler-Lagrange systems with time-varying leader trajectory and constrained discrete-time communication,” IEEE Trans. Autom. Control 62(5), 2539–2545 (2016).CrossRefGoogle Scholar
Wang, H., “Consensus of networked mechanical systems with communication delays: A unified framework,” IEEE Trans. Autom. Control 59(6), 1571–1576 (2014).Google Scholar
Wang, H., “Dynamic feedback for consensus of networked lagrangian systems,” arXiv preprint arXiv:1707.03657 (2017).CrossRefGoogle Scholar
Abdessameud, A., “Consensus of nonidentical Euler–Lagrange systems under switching directed graphs,” IEEE Trans. Autom. Control 64(5), 2108–2114 (2018).Google Scholar
Min, H., Sun, F., Wang, S. and Li, H., “Distributed adaptive consensus algorithm for networked Euler–Lagrange systems,” IET Control Theory Appl. 5(1), 145–154 (2011).CrossRefGoogle Scholar
Ye, M., Anderson, B. D. and Yu, C., “Leader tracking of Euler–Lagrange agents on directed switching networks using a model-independent algorithm,” IEEE Trans. Control Network Syst. 6(2), 561–571 (2018).Google Scholar
Ye, M., Anderson, B. D. and Yu, C., “Distributed model-independent consensus of Euler–Lagrange agents on directed networks,” Int. J. Robust Nonlinear Control 27(14), 2428–2450 (2017).CrossRefGoogle Scholar
HernÁndez-GuzmÁn, V. M. and Orrante-Sakanassi, J., “Model-independent consensus control of Euler-Lagrange agents with interconnecting delays,” Int. J. Robust Nonlinear Control 29(12), 4069–4096 (2019).CrossRefGoogle Scholar
Li, D., Ma, G., He, W., Zhang, W., Li, C. and Ge, S. S., “Distributed coordinated tracking control of multiple Euler–Lagrange systems by state and output feedback,” IET Control Theory Appl. 11(14), 2213–2221 (2017).CrossRefGoogle Scholar
Mei, J., Ren, W., Chen, J. and Ma, G., “Distributed adaptive coordination for multiple lagrangian systems under a directed graph without using neighbors’ velocity information,” Automatica 49(6), 1723–1731 (2013).CrossRefGoogle Scholar
Spong, M. W., Hutchinson, S. and Vidyasagar, M., Robot Modeling and Control, vol. 3 (Wiley, New York, 2006).Google Scholar
Kelly, R., Davila, V. S. and Perez, J. A. L., Control of Robot Manipulators in Joint Space (Springer Science & Business Media, Springer, London, 2006).Google Scholar
Almodaresi, S. M. Y., “Decentralized Control of Reconfigurable Robots Using Joint-Torque Sensing,” 2015 3rd RSI International Conference on Robotics and Mechatronics (ICROM) (IEEE, 2015) pp. 581–585.CrossRefGoogle Scholar
Godsil, C. and Royle, G. F., Algebraic Graph Theory, vol. 207 (Springer Science & Business Media, Springer, Germany, 2013).Google Scholar
Krstic, M., Kanellakopoulos, I. and Kokotovic, P. V., Nonlinear and Adaptive Control Design (Wiley, New York, 1995).Google Scholar
Khalil, H. K. and Grizzle, J., Nonlinear Systems, vol. 3 (Prentice Hall, New Jersey, 1996).Google Scholar
Hardy, G. H., Littlewood, J. E. and PÓlya, G., Inequalities (Cambridge University Press, UK, 1952).Google Scholar
Gallier, J., “The schur complement and symmetric positive semidefinite (and definite) matrices,” Penn Eng. (2010). Unpublished note, available online: https://www.cis.upenn.edu/~jean/schur-comp.pdf.Google Scholar