A novel finite-time consensus technique is derived for second-order linear multi-agent systems with input saturation constraints. The hyperbolic tangent–based saturation function is presented for achieving input saturation while reducing the chattering issue of classical saturation functions. The leader-following consensus controller with a single saturation function is constructed to address the issue of saturation level partition between position feedback and velocity feedback. Theoretically, the property of finite-time consensus, bounded input, and smoothness of a closed-form system are proved by the Lyapunov theory in detail. Numerical simulations are conducted to exhibit the effectiveness of the proposed method fully.
BhatSPBernsteinDS (2000) Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization38(3): 751–766.
2.
ChengYYDuHBHeYG, et al. (2016) Distributed finite-time attitude regulation for multiple rigid spacecraft via bounded control. Information Sciences328: 144–157.
3.
CongYZDuHBLiuBB, et al. (2023) Distributed constrained finite-time consensus algorithm for second-order multi-agent systems. Information Sciences626: 773–786.
4.
DuHBHeYGChengYY (2014) Finite-time synchronization of a class of second-order nonlinear multi-agent systems using output feedback control. IEEE Transactions on Circuits and Systems I: Regular Papers61(6): 1778–1788.
5.
FuJJLvYZHuangTW (2019a) Distributed anti-windup approach for consensus tracking of second-order multi-agent systems with input saturation. Systems & Control Letters130: 1–6.
6.
FuJJLvYZZhouJL, et al. (2019b) Consensus tracking of second-order multi-agent systems with input saturation under general directed communication graph. In: Proceedings of the 2019 IEEE 28th international symposium on industrial electronics (ISIE), Vancouver, BC, Canada, 12–14 June.
7.
FuJJWangJZLiZK (2015) Fully distributed finite-time leader-following control for high-order integrator systems with directed communication graphs. In: Proceedings of the 34th Chinese Control Conference (CCC), Hangzhou, China, 28–30 July.
8.
FuJJWenGHYuWW, et al. (2018) Finite-time consensus for second-order multi-agent systems with input saturation. IEEE Transactions on Circuits and Systems II: Express Briefs65(11): 1758–1762.
9.
GaoFZYuanYWuYQ (2016a) Finite-time stabilization for a class of nonholonomic feed-forward systems subject to inputs saturation. ISA Transactions64: 193–201.
10.
GaoFZZhuXCWuYQ, et al. (2019) Reduced-order observer-based saturated finite-time stabilization of high-order feed-forward nonlinear systems by output feedback. ISA Transactions93: 70–79.
11.
GaoTTHuangJSZhouY, et al. (2016b) Finite-time consensus control of second-order nonlinear systems with input saturation. Transactions of the Institute of Measurement and Control38(11): 1381–1391.
12.
GodsilCRoyleG (2001) Algebraic Graph Theory. New York: Springer, pp. 279–281.
13.
HongYG (2002) Finite-time stabilization and stabilizability of a class of controllable systems. Systems & Control Letters46(4): 231–236.
14.
HongYGJiangZP (2006) Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties. IEEE Transactions on Automatic Control51(12): 1950–1956.
15.
HongYRHuangJXuYS (2001) On an output feedback finite-time stabilization problem. IEEE Transactions on Automatic Control46(2): 305–309.
16.
HuZLYangJY (2020) Distributed optimal formation algorithm for multi-satellites system with time-varying performance function. International Journal of Control93(5): 1015–1026.
17.
KabiriMAtrianfarHMenhajMB (2018) Formation control of VTOL UAV vehicles under switching-directed interaction topologies with disturbance rejection. International Journal of Control91(1): 33–44.
18.
KangWJXiaoJ (2022) Application and analysis of computer network technology in electronic information engineering. Soft Computing26(16): 7773–7779.
19.
KhosraviSJahangirMAfkhamiH (2012) Adaptive fuzzy SMC-based formation design for swarm of unknown time-delayed robots. Nonlinear Dynamics69(4): 1825–1835.
LiCYQuZH (2014) Distributed finite-time consensus of nonlinear systems under switching topologies. Automatica50(6): 1626–1631.
22.
LiSHDuHBLinXZ (2011) Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. Automatica47(8): 1706–1712.
23.
LiZXJiHB (2018) Finite-time consensus and tracking control of a class of nonlinear multiagent systems. IEEE Transactions on Automatic Control63(12): 4413–4420.
24.
LiaoRWHanLDongXW, et al. (2020) Finite-time formation-containment tracking for second-order multi-agent systems with a virtual leader of fully unknown input. Neurocomputing415: 234–246.
25.
LinXZhengYS (2017) Finite-time consensus of switched multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems47(7): 1535–1545.
26.
LinZL (2019) Control design in the presence of actuator saturation: From individual systems to multi-agent systems. Science China: Information Sciences62(2): 26201.
27.
LiuXYChenMZQDuHB, et al. (2016) Further results on finite-time consensus of second-order multi-agent systems without velocity measurements. International Journal of Robust and Nonlinear Control26(14): 3170–3185.
28.
MazaIKondakKBernardM, et al. (2010) Multi-UAV cooperation and control for load transportation and deployment. Journal of Intelligent & Robotic Systems57(1–4): 417–449.
29.
RenW (2008) On consensus algorithms for double-integrator dynamics. IEEE Transactions on Automatic Control53(6): 1503–1509.
30.
RenW (2010) Consensus tracking under directed interaction topologies: Algorithms and experiments. IEEE Transactions on Control Systems Technology18(1): 230–237.
31.
RenWCaoYC (2011) Distributed Coordination of Multi-Agent Networks. London: Springer-Verlag, pp. 7–8.
32.
SakthivelRKanakalakshmiSKaviarasanB, et al. (2018) Finite-time consensus of input delayed multi-agent systems via non-fragile controller subject to switching topology. Neurocomputing325: 225–233.
33.
SuYXZhengCHMercorelliP (2017) Global finite-time stabilization of planar linear systems with actuator saturation. IEEE Transactions on Circuits and Systems II: Express Briefs64(8): 947–951.
34.
TangZWangJFWangY, et al. (2023) Consensus of discontinuous multi-agent systems with hybrid self-delays via saturated distributed control. Control and Decision38(3): 670–680.
35.
TongPChenSHWangL (2018) Finite-time consensus of multi-agent systems with continuous time-varying interaction topology. Neurocomputing284: 187–193.
36.
WangQLYuCBGaoHJ (2014) Synchronization of identical linear dynamic systems subject to input saturation. Systems & Control Letters64: 107–113.
37.
WangXLHongYG (2008) Finite-time consensus for multi-agent networks with second-order agent dynamics. In: Proceedings of the 17th World Congress of the International Federation of Automation Control, Seoul, South Korea, 6–11 July.
38.
XiJXWangCLiuH, et al. (2019) Completely distributed guaranteed-performance consensualization for high-order multiagent systems with switching topologies. IEEE Transactions on Systems, Man, and Cybernetics: Systems49(7): 1338–1348.
39.
XiJXYangJLiuH, et al. (2018) Adaptive guaranteed-performance consensus design for high-order multiagent systems. Information Sciences467: 1–14.
40.
ZhangAZhouDYangM, et al. (2019a) Finite-time formation control for unmanned aerial vehicle swarm system with time-delay and input saturation. IEEE Access7: 5853–5864.
41.
ZhangYJYangYZhaoY, et al. (2013) Distributed finite-time tracking control for nonlinear multi-agent systems subject to external disturbances. International Journal of Control86(1): 29–40.
42.
ZhangZCZuoZQWangYJ (2019b) Finite-time consensus of neutrally stable multi-agent systems in the presence of input saturation. Journal of the Franklin Institute356(2): 894–907.
43.
ZhaoJZhouR (2015) Unified approach to cooperative guidance laws against stationary and maneuvering targets. Nonlinear Dynamics81(4): 1635–1647.
44.
ZhaoLWHuaCC (2014) Finite-time consensus tracking of second-order multi-agent systems via nonsingular TSM. Nonlinear Dynamics75(1–2): 311–318.
45.
ZhaoYDuanZSWenGH (2015) Finite-time consensus for second-order multi-agent systems with saturated control protocols. IET Control Theory & Applications9(3): 312–319.
46.
ZouAMKumarKD (2019) Finite-time attitude control for rigid spacecraft subject to actuator saturation. Nonlinear Dynamics96(2): 1017–1035.
