Distributed Fixed-time Formation-containment Control for Multiple Euler-Lagrange Systems with Directed Graphs

다국어 초록 (Multilingual Abstract)

In this paper, the distributed fixed-time formation-containment (DFTFC) problem of multiple EulerLagrange systems with parametric uncertainties and input disturbances is studied under directed graphs. First, a distributed fixed-time sliding-mode estimator is constructed to estimate the desired states of each robot with that only parts of followers can access the information of leaders. Next, based on the estimator, a distributed fixed-time formation control algorithm is developed to drive leaders to achieve a specified formation. Then, the distributed fixed-time containment control algorithm is proposed for followers with its estimated states being tracked in a fixed time. Note that an explicit upper bound of the convergence time of DFTFC control algorithm is obtained independent of initial conditions. Finally, numerical simulations are performed to show the effectiveness of the obtained theoretical results.

참고문헌 (Reference)

1 D. Li, "Twolayer distributed formation-containment control of multiple Euler-Lagrange systems by output feedback" 49 (49): 675-687, 2019

2 Y. Xu, "Two-layer distributed hybrid affine formation control of networked Euler-Lagrange systems" 356 (356): 2172-2197, 2019

3 A. J. M. Vazquez, "Predefined-time robust stabilization of robotic manipulators" 24 (24): 1033-1040, 2019

4 E. J. Rodriguez, "Predefined-time backstepping control for tracking a class of mechanical systems" 50 (50): 1680-1685, 2017

5 Y. Wang, "Output formationcontainment of coupled heterogeneous linear systems under intermittent communication" 354 (354): 392-414, 2017

6 X. Dong, "Output formationcontainment analysis and design for general linear timeinvariant multi-agent systems" 353 (353): 322-344, 2016

7 E. J. Rodriguez, "On optimal predefined-time stabilization" 27 (27): 3620-3642, 2017

8 Z. Zuo, "Nonsingular fixed-time consensus tracking for second-order multi-agent networks" 54 : 305-309, 2015

9 L. Yang, "Nonsingular fast terminal slidingmode control for nonlinear dynamical systems" 21 (21): 1865-1879, 2011

10 A. Polyakov, "Nonlinear feedback design for fixed-time stabilization of linear control systems" 57 (57): 2106-2110, 2012

11 Z. Meng, "Leader-follower coordinated tracking of multiple heterogeneous lagrange systems using continuous control" 30 (30): 739-745, 2014

12 M. Ge, "Hierarchical controller-estimator for coordination of networked EulerLagrange systems" 50 (50): 2450-2461, 2019

13 X. Yao, "Fully distributed control for task-space formation tracking of nonlinear heterogeneous robotic systems" 96 (96): 87-105, 2019

14 L. Han, "Formationcontainment control for second-order multi-agent systems with time-varying delays" 218 : 439-447, 2016

15 C. Li, "Formationcontainment control for networked Euler-Lagrange systems with input saturation" 91 (91): 1307-1320, 2018

16 X. Dong, "Formationcontainment analysis and design for high-order linear timeinvariant swarm systems" 25 (25): 3439-3456, 2015

17 X. Yao, "Formation-containment control for multi-robot systems with two-layer leaders via hierarchical controller-estimator algorithms" 355 (355): 5272-5290, 2018

18 L. Zhang, "Fixed-time sliding mode control for uncertain robot manipulators" 7 : 149750-149763, 2019

19 A. Zou, "Fixed-time output-feedback consensus tracking control for second-order multiagent systems" 29 (29): 4419-4434, 2019

20 B. Tian, "Fixed-time leaderfollower output feedback consensus for second-order multiagent systems" 49 (49): 1545-1550, 2019

21 C. Wang, "Fixed-time formation control of multirobot systems : design and experiments" 66 (66): 6292-6301, 2018

22 J. Fu, "Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties" 93 : 1-12, 2016

23 Z. Zuo, "Fixed-time consensus tracking for multiagent systems with high-order integrator dynamics" 63 (63): 563-570, 2018

24 Y. Zhao, "Finite-time containment control without velocity and acceleration measurements" 82 (82): 259-268, 2015

25 J. Fu, "Finite-time consensus for multi-agent systems with globally bounded convergence time under directed communication graphs" 90 (90): 1807-1817, 2017

26 H. Hong, "Finite-time and fixed-time consensus problems for second-order multiagent systems with reduced state information" 62 (62): 212201-, 2019

27 X. Wang, "Fault-tolerant consensus tracking control for linear multiagent systems under switching directed network" 1-10, 2019

28 X. Wang, "Distributed reliable H∞ consensus control for a class of multi-agent systems under switching networks : A topology-based average dwell time approach" 26 (26): 2767-2787, 2016

29 X. Chu, "Distributed fixed-time formation tracking of multi-robot systems with nonholonomic constraints" 313 : 167-174, 2018

30 Y. Liu, "Distributed fixed-time consensus for multi-agent systems with unknown control directions" 29 (29): 3311-3329, 2019

31 X. Wang, "Distributed fault-tolerant control for a class of cooperative uncertain systems with actuator failures and switching topologies" (370) : 650-666, 2016

32 M. Ge, "Distributed controller-estimator for target tracking of networked robotic systems under sampled interaction" 69 : 410-417, 2016

33 Y. Cao, "Distributed containment control for multiple autonomous vehicles with double-integrator dynamics : algorithms and experiments" 19 (19): 929-938, 2010

34 J. Mei, "Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph" 48 (48): 653-659, 2012

35 Y. Wang, "Distributed adaptive finitetime approach for formation-containment control of networked nonlinear systems under directed topology" 29 (29): 3164-3175, 2018

36 Z. Peng, "Containment control of networked autonomous underwater vehicles with model uncertainty and ocean disturbances guided by multiple leaders" 316 : 163-179, 2015

37 A. Abdessameud, "Attitude synchronization of a group of spacecraft without velocity measurements" 54 (54): 2642-2648, 2009

38 Z. Zuo, "An explicit estimate for the upper bound of the settling time in fixed-time leaderfollowing consensus of high-order multivariable multiagent systems" 66 (66): 6250-6259, 2018

39 X. Wang, "Adaptive reliable coordination control for linear agent networks with intermittent communication constraints" 5 (5): 1120-1131, 2017

40 Yang Liu, "Adaptive Consensus Control for Multiple Euler-Lagrange Systems with External Disturbance" 제어·로봇·시스템학회 15 (15): 205-211, 2017

41 Fu-Yong Wang, "A Novel Leader-following Consensus of Multi-agent Systems with Smart Leader" 제어·로봇·시스템학회 16 (16): 1483-1492, 2018