Skip to main content
Top
Published in:

16-06-2024

Fast Finite-Time Output Bipartite Tracking of Networked Heterogeneous Robotic Systems with Matrix-Weighted Digraphs

Authors: Renjie Gu, Tao Han, Bo Xiao, Huaicheng Yan

Published in: Circuits, Systems, and Signal Processing | Issue 10/2024

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The fast finite-time output bipartite tracking of networked heterogeneous robotic systems with matrix-weighted digraphs, parametric uncertainties and external disturbances is studied in this article. Besides, solving the fast finite-time bipartite tracking problem in this paper implies that the system states are forced to reach the employed nonsingular finite-time sliding surface in a predefined time, which thus called fast finite-time control. To address the aforementioned issues, a fast finite time hierarchical control algorithm utilizing estimator methodologies are proposed. The Lyapunov stability theory is used to derive some sufficient requirements for performing output bipartite tracking in a fast finite time manner. To verify that the theoretical results are valid, numerical simulation examples are given.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

ATZelektronik

Die Fachzeitschrift ATZelektronik bietet für Entwickler und Entscheider in der Automobil- und Zulieferindustrie qualitativ hochwertige und fundierte Informationen aus dem gesamten Spektrum der Pkw- und Nutzfahrzeug-Elektronik. 

Lassen Sie sich jetzt unverbindlich 2 kostenlose Ausgabe zusenden.

ATZelectronics worldwide

ATZlectronics worldwide is up-to-speed on new trends and developments in automotive electronics on a scientific level with a high depth of information. 

Order your 30-days-trial for free and without any commitment.

Show more products
Literature
1.
go back to reference C. Altafini, Consensus problems on networks with antagonistic interactions. IEEE Trans. Autom. Control 58(4), 935–946 (2012)MathSciNetCrossRef C. Altafini, Consensus problems on networks with antagonistic interactions. IEEE Trans. Autom. Control 58(4), 935–946 (2012)MathSciNetCrossRef
2.
go back to reference C. Chen, W. Gui, L. Wu, Z. Liu, H. Yan, Tracking performance limitations of MIMO networked control systems with multiple communication constraints. IEEE Trans. Cybern. 50(7), 2982–2995 (2019)CrossRef C. Chen, W. Gui, L. Wu, Z. Liu, H. Yan, Tracking performance limitations of MIMO networked control systems with multiple communication constraints. IEEE Trans. Cybern. 50(7), 2982–2995 (2019)CrossRef
3.
go back to reference F. Chen, G. Feng, L. Liu, W. Ren, Distributed average tracking of networked Euler–Lagrange systems. IEEE Trans. Autom. Control. 60(2), 547–552 (2014)MathSciNetCrossRef F. Chen, G. Feng, L. Liu, W. Ren, Distributed average tracking of networked Euler–Lagrange systems. IEEE Trans. Autom. Control. 60(2), 547–552 (2014)MathSciNetCrossRef
4.
go back to reference T. Ding, M. Ge, Z. Liu, Y. Wang, R.H. Karimi, Lag-bipartite formation tracking of networked robotic systems over directed matrix-weighted signed graphs. IEEE Trans. Cybern. 52(7), 6759–6770 (2020)CrossRef T. Ding, M. Ge, Z. Liu, Y. Wang, R.H. Karimi, Lag-bipartite formation tracking of networked robotic systems over directed matrix-weighted signed graphs. IEEE Trans. Cybern. 52(7), 6759–6770 (2020)CrossRef
5.
go back to reference T. Han, Z. Guan, M. Chi, B. Hu, T. Li, X. Zhang, Multi-formation control of nonlinear leader-following multi-agent systems. ISA Trans. 69, 140–147 (2017)CrossRef T. Han, Z. Guan, M. Chi, B. Hu, T. Li, X. Zhang, Multi-formation control of nonlinear leader-following multi-agent systems. ISA Trans. 69, 140–147 (2017)CrossRef
6.
go back to reference T. Han, Z. Guan, B. Xiao, H. Yan, Bipartite average tracking for multi-agent systems with disturbances: finite-time and fixed-time convergence. IEEE Trans Circuits Syst. I Regul. Pap. 68(10), 4393–4402 (2021)CrossRef T. Han, Z. Guan, B. Xiao, H. Yan, Bipartite average tracking for multi-agent systems with disturbances: finite-time and fixed-time convergence. IEEE Trans Circuits Syst. I Regul. Pap. 68(10), 4393–4402 (2021)CrossRef
7.
go back to reference T. Han, Z. Guan, X. Zhan, H. Yan, J. Chen, Observer-based bipartite consensus of descriptor multi-agent systems. Control Theory Appl. 40(1), 32–38 (2023) T. Han, Z. Guan, X. Zhan, H. Yan, J. Chen, Observer-based bipartite consensus of descriptor multi-agent systems. Control Theory Appl. 40(1), 32–38 (2023)
8.
go back to reference H. Hu, G. Wen, W. Yu, J. Cao, T. Huang, Finite-time coordination behavior of multiple Euler–Lagrange systems in cooperation–competition networks. IEEE Trans. Cybern. 49(8), 2967–2979 (2019)CrossRef H. Hu, G. Wen, W. Yu, J. Cao, T. Huang, Finite-time coordination behavior of multiple Euler–Lagrange systems in cooperation–competition networks. IEEE Trans. Cybern. 49(8), 2967–2979 (2019)CrossRef
9.
go back to reference C. Huang, Z. Liu, C. Chen, Y. Zhang, Fast finite-time neuroadaptive consensus control for nonlinear nontriangular structured multiagent systems with uncertainty. IEEE Trans. Syst. Man Cybern. Syst. 53(7), 4453–4465 (2023)CrossRef C. Huang, Z. Liu, C. Chen, Y. Zhang, Fast finite-time neuroadaptive consensus control for nonlinear nontriangular structured multiagent systems with uncertainty. IEEE Trans. Syst. Man Cybern. Syst. 53(7), 4453–4465 (2023)CrossRef
10.
go back to reference K. Huang, M. Ge, C. Liang, J. Dong, X. Zhao, Hierarchical predefined-time control for time-varying formation tracking of multiple heterogeneous Euler–Lagrange agents. Nonlinear Dyn. 105(4), 3255–3270 (2021)CrossRef K. Huang, M. Ge, C. Liang, J. Dong, X. Zhao, Hierarchical predefined-time control for time-varying formation tracking of multiple heterogeneous Euler–Lagrange agents. Nonlinear Dyn. 105(4), 3255–3270 (2021)CrossRef
11.
go back to reference A. Jadbabaie, J. Lin, A.S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control 48(6), 988–1001 (2003)MathSciNetCrossRef A. Jadbabaie, J. Lin, A.S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control 48(6), 988–1001 (2003)MathSciNetCrossRef
12.
go back to reference X. Jiang, X. Chen, J. Hu, H. Yan, M. Ge, On the achievable tracking performance of NCSs over SNR limited channels. J. Frankl. Inst. 356(6), 3353–3367 (2019)MathSciNetCrossRef X. Jiang, X. Chen, J. Hu, H. Yan, M. Ge, On the achievable tracking performance of NCSs over SNR limited channels. J. Frankl. Inst. 356(6), 3353–3367 (2019)MathSciNetCrossRef
13.
go back to reference J.R. Klotz, S. Obuz, Z. Kan, W.E. Dixon, Synchronization of uncertain Euler–Lagrange systems with uncertain time-varying communication delays. IEEE Trans. Cybern. 48(2), 807–817 (2017)CrossRef J.R. Klotz, S. Obuz, Z. Kan, W.E. Dixon, Synchronization of uncertain Euler–Lagrange systems with uncertain time-varying communication delays. IEEE Trans. Cybern. 48(2), 807–817 (2017)CrossRef
14.
go back to reference F. Li, G. Wang, Y. Hou, C. Wang, Q. Li, Output feedback consensus of nonlinear multi-agent systems under directed topologies. Circuits Syst. Signal Process. 42(1), 216–233 (2023)CrossRef F. Li, G. Wang, Y. Hou, C. Wang, Q. Li, Output feedback consensus of nonlinear multi-agent systems under directed topologies. Circuits Syst. Signal Process. 42(1), 216–233 (2023)CrossRef
15.
go back to reference C. Liang, L. Wang, X. Yao, Z. Liu, M. Ge, Multi-target tracking of networked heterogeneous collaborative robots in task spac. Nonlinear Dyn. 97(2), 1159–1173 (2019)CrossRef C. Liang, L. Wang, X. Yao, Z. Liu, M. Ge, Multi-target tracking of networked heterogeneous collaborative robots in task spac. Nonlinear Dyn. 97(2), 1159–1173 (2019)CrossRef
16.
go back to reference M. Liu, X. Wang, Z. Li, Robust bipartite consensus and tracking control of high-order multiagent systems with matching uncertainties and antagonistic interactions. IEEE Trans Syst. Man Cybern. Syst. 50(7), 2541–2550 (2020)CrossRef M. Liu, X. Wang, Z. Li, Robust bipartite consensus and tracking control of high-order multiagent systems with matching uncertainties and antagonistic interactions. IEEE Trans Syst. Man Cybern. Syst. 50(7), 2541–2550 (2020)CrossRef
17.
go back to reference L. Lu, T. Han, B. Xiao, H. Yan, Distributed observer-based predefined-time consensus control for second-order multi-agent systems. Circuits Syst. Signal Process. 42, 7099–7116 (2023)CrossRef L. Lu, T. Han, B. Xiao, H. Yan, Distributed observer-based predefined-time consensus control for second-order multi-agent systems. Circuits Syst. Signal Process. 42, 7099–7116 (2023)CrossRef
18.
go back to reference J. Mei, W. Ren, G. Ma, Distributed coordinated tracking with a dynamic leader for multiple Euler–Lagrange systems. IEEE Trans. Autom. Control 56(6), 1415–1421 (2011)MathSciNetCrossRef J. Mei, W. Ren, G. Ma, Distributed coordinated tracking with a dynamic leader for multiple Euler–Lagrange systems. IEEE Trans. Autom. Control 56(6), 1415–1421 (2011)MathSciNetCrossRef
19.
go back to reference J. Ni, L. Liu, Y. Tang, C. Liu, Predefined-time consensus tracking of second-order multiagent systems. IEEE Trans. Syst. Man Cybern. Syst. 51(4), 2550–2560 (2019)CrossRef J. Ni, L. Liu, Y. Tang, C. Liu, Predefined-time consensus tracking of second-order multiagent systems. IEEE Trans. Syst. Man Cybern. Syst. 51(4), 2550–2560 (2019)CrossRef
20.
go back to reference R. Olfati-Saber, R.M. Murray, Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)MathSciNetCrossRef R. Olfati-Saber, R.M. Murray, Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)MathSciNetCrossRef
21.
go back to reference J. Pan, T. Han, B. Xiao, H. Yan, Finite-time and fixed-time consensus tracking of multiple Euler–Lagrange systems via hierarchical control approach. Circuits Syst. Signal Process. 42(12), 7167–7193 (2023)CrossRef J. Pan, T. Han, B. Xiao, H. Yan, Finite-time and fixed-time consensus tracking of multiple Euler–Lagrange systems via hierarchical control approach. Circuits Syst. Signal Process. 42(12), 7167–7193 (2023)CrossRef
22.
go back to reference H. Su, J. Chen, Y. Yang, Z. Rong, The bipartite consensus for multi-agent systems with matrix-weight-based signed network. IEEE Trans. Circuits Syst. II Express Briefs 67(10), 2019–2023 (2019) H. Su, J. Chen, Y. Yang, Z. Rong, The bipartite consensus for multi-agent systems with matrix-weight-based signed network. IEEE Trans. Circuits Syst. II Express Briefs 67(10), 2019–2023 (2019)
23.
go back to reference M.H. Trinh, N.C. Van, Y. Lim, H.S. Ahn, Matrix-weighted consensus and its applications. Automatica 89, 415–419 (2018)MathSciNetCrossRef M.H. Trinh, N.C. Van, Y. Lim, H.S. Ahn, Matrix-weighted consensus and its applications. Automatica 89, 415–419 (2018)MathSciNetCrossRef
24.
go back to reference L. Wang, H. He, Z. Zeng, M. Ge, Model-independent formation tracking of multiple Euler–Lagrange systems via bounded inputs. IEEE Trans. Cybern. 51(5), 2813–2823 (2021)CrossRef L. Wang, H. He, Z. Zeng, M. Ge, Model-independent formation tracking of multiple Euler–Lagrange systems via bounded inputs. IEEE Trans. Cybern. 51(5), 2813–2823 (2021)CrossRef
25.
go back to reference R. Wang, X. Dong, Q. Li, Z. Ren, Distributed time-varying formation control for multiagent systems with directed topology using an adaptive output-feedback approach. IEEE Trans. Ind. Inform. 15(8), 4676–4685 (2019)CrossRef R. Wang, X. Dong, Q. Li, Z. Ren, Distributed time-varying formation control for multiagent systems with directed topology using an adaptive output-feedback approach. IEEE Trans. Ind. Inform. 15(8), 4676–4685 (2019)CrossRef
26.
go back to reference S. Wang, H. Zhang, S. Baldi, R. Zhong, Leaderless consensus of heterogeneous multiple Euler–Lagrange systems with unknown disturbance. IEEE Trans. Autom. Control 68(4), 2399–2406 (2022)MathSciNetCrossRef S. Wang, H. Zhang, S. Baldi, R. Zhong, Leaderless consensus of heterogeneous multiple Euler–Lagrange systems with unknown disturbance. IEEE Trans. Autom. Control 68(4), 2399–2406 (2022)MathSciNetCrossRef
27.
go back to reference Y. Wang, X. Liu, J. Xiao, Y. Shen, Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control. Automatica 93, 26–32 (2018)MathSciNetCrossRef Y. Wang, X. Liu, J. Xiao, Y. Shen, Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control. Automatica 93, 26–32 (2018)MathSciNetCrossRef
28.
go back to reference Y. Wang, Q. Wu, Y. Wang, Distributed cooperative control for multiple quadrotor systems via dynamic surface control. Nonlinear Dyn. 75, 513–527 (2014)MathSciNetCrossRef Y. Wang, Q. Wu, Y. Wang, Distributed cooperative control for multiple quadrotor systems via dynamic surface control. Nonlinear Dyn. 75, 513–527 (2014)MathSciNetCrossRef
29.
go back to reference G. Wen, Y. Zhao, Z. Duan, W. Yu, G. Chen, Containment of higher-order multi-leader multi-agent systems: a dynamic output approach. IEEE Trans. Autom. Control 61(4), 1135–1140 (2015)MathSciNetCrossRef G. Wen, Y. Zhao, Z. Duan, W. Yu, G. Chen, Containment of higher-order multi-leader multi-agent systems: a dynamic output approach. IEEE Trans. Autom. Control 61(4), 1135–1140 (2015)MathSciNetCrossRef
30.
go back to reference Y. Wu, M. Ge, T. Ding, C. Chen, G. Lin, Task-space bipartite tracking of networked robotic systems via hierarchical finite-time control. Nonlinear Dyn. 100(6), 3469–3483 (2020)CrossRef Y. Wu, M. Ge, T. Ding, C. Chen, G. Lin, Task-space bipartite tracking of networked robotic systems via hierarchical finite-time control. Nonlinear Dyn. 100(6), 3469–3483 (2020)CrossRef
31.
go back to reference Y. Wu, Y. Zhao, J. Hu, Bipartite consensus control of high-order multiagent systems with unknown disturbances. IEEE Trans. Syst. Man Cybern. Syst. 49(10), 2189–2199 (2017)CrossRef Y. Wu, Y. Zhao, J. Hu, Bipartite consensus control of high-order multiagent systems with unknown disturbances. IEEE Trans. Syst. Man Cybern. Syst. 49(10), 2189–2199 (2017)CrossRef
32.
go back to reference T. Xu, Z. Duan, Z. Sun, G. Chen, Distributed fixed-time coordination control for networked multiple Euler–Lagrange systems. IEEE Trans. Cybern. 52(6), 4611–4622 (2020)CrossRef T. Xu, Z. Duan, Z. Sun, G. Chen, Distributed fixed-time coordination control for networked multiple Euler–Lagrange systems. IEEE Trans. Cybern. 52(6), 4611–4622 (2020)CrossRef
33.
go back to reference Z. Xu, X. Liu, J. Cao, M. Song, Fixed-time bipartite consensus of nonlinear multi-agent systems under directed signed graphs with disturbances. J. Frankl. Inst. 359(6), 2693–2709 (2022)MathSciNetCrossRef Z. Xu, X. Liu, J. Cao, M. Song, Fixed-time bipartite consensus of nonlinear multi-agent systems under directed signed graphs with disturbances. J. Frankl. Inst. 359(6), 2693–2709 (2022)MathSciNetCrossRef
34.
go back to reference S. Yu, X. Yu, B. Shirinzadeh, Z. Man, Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41(11), 1957–1964 (2005)MathSciNetCrossRef S. Yu, X. Yu, B. Shirinzadeh, Z. Man, Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41(11), 1957–1964 (2005)MathSciNetCrossRef
35.
go back to reference L. Zhao, Y. Liu, F. Li, Y. Man, Fully distributed adaptive finite-time consensus for uncertain nonlinear multiagent systems. IEEE Trans. Cybern. 52(7), 6972–6983 (2020)CrossRef L. Zhao, Y. Liu, F. Li, Y. Man, Fully distributed adaptive finite-time consensus for uncertain nonlinear multiagent systems. IEEE Trans. Cybern. 52(7), 6972–6983 (2020)CrossRef
36.
go back to reference X. Zhao, T. Han, B. Xiao, H. Yan, M. Ge, C. Liang, Task-space time-varying formation tracking for networked heterogeneous Euler–Lagrange systems via hierarchical predefined-time control approach. Nonlinear Dyn. 109(4), 2675–2692 (2022)CrossRef X. Zhao, T. Han, B. Xiao, H. Yan, M. Ge, C. Liang, Task-space time-varying formation tracking for networked heterogeneous Euler–Lagrange systems via hierarchical predefined-time control approach. Nonlinear Dyn. 109(4), 2675–2692 (2022)CrossRef
37.
go back to reference X. Zhao, T. Han, X. Zhan, H. Yan, Distributed estimator-based fixed-time bipartite consensus of multiple Euler–Lagrange systems over a signed digraph. IEEE Trans. Circuits Syst. II Express Briefs 69(6), 2847–2851 (2022) X. Zhao, T. Han, X. Zhan, H. Yan, Distributed estimator-based fixed-time bipartite consensus of multiple Euler–Lagrange systems over a signed digraph. IEEE Trans. Circuits Syst. II Express Briefs 69(6), 2847–2851 (2022)
38.
go back to reference X. Zhao, X. Zheng, C. Ma, R. Li, Distributed consensus of multiple Euler–Lagrange systems networked by sampled-data information with transmission delays and data packet dropouts. IEEE Trans. Autom. Sci. Eng. 14(3), 1440–1450 (2015)CrossRef X. Zhao, X. Zheng, C. Ma, R. Li, Distributed consensus of multiple Euler–Lagrange systems networked by sampled-data information with transmission delays and data packet dropouts. IEEE Trans. Autom. Sci. Eng. 14(3), 1440–1450 (2015)CrossRef
39.
go back to reference A. Zou, Y. Liu, Z. Hou, Z. Hu, Practical predefined-time output-feedback consensus tracking control for multiagent systems. IEEE Trans. Cybern. 50(8), 5311–5322 (2023)CrossRef A. Zou, Y. Liu, Z. Hou, Z. Hu, Practical predefined-time output-feedback consensus tracking control for multiagent systems. IEEE Trans. Cybern. 50(8), 5311–5322 (2023)CrossRef
Metadata
Title
Fast Finite-Time Output Bipartite Tracking of Networked Heterogeneous Robotic Systems with Matrix-Weighted Digraphs
Authors
Renjie Gu
Tao Han
Bo Xiao
Huaicheng Yan
Publication date
16-06-2024
Publisher
Springer US
Published in
Circuits, Systems, and Signal Processing / Issue 10/2024
Print ISSN: 0278-081X
Electronic ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02719-w