This paper uses a fixed-time (FxT) dynamic event-triggered control(DETC) framework to study distributed multi leader-follower multi-group consensus for multi-agent systems(MASs) under disturbances. A normalized state-dependent variable-exponent (SDVE) design, which avoids the conservative tuning associated with constant-exponent techniques and modifies the convergence rate online in accordance with the system evolution, enforces FxT convergence. To improve resilience against matching uncertainties and external perturbations, a variable-exponent super-twisting algorithm (VSTA) is devised on nonlinear sliding manifolds. In order to facilitate simultaneous intra-group agreement and inter-group coordination while tracking different leader trajectories, agents are divided into several groups and communicate over a complex-valued communication graph. The FxT control architecture incorporates a DETC mechanism that ensures consensus without constant information transmission, hence reducing communication overhead. By establishing a positive infimum of the inter-event intervals and guaranteeing global FxT group consensus using just local information, the suggested technique eliminates Zeno behavior. Comparative numerical studies with conventional sliding mode and event-triggered approaches demonstrate significant communication savings, enhanced resilience, faster convergence, and a substantial reduction in chattering.
ZhangD-WLiuG-PCaoL. Constrained cooperative control for high-order fully actuated multiagent systems with application to air-bearing spacecraft simulators. IEEE/ASME Trans Mechatron2023; 28: 1570–1581.
2.
LiuLShanJ. Event-triggered consensus of nonlinear multi-agent systems with stochastic switching topology. J Frankl Inst Eng Appl Math2017; 354(13): 5350–5373.
3.
KaboreKMGulerS. Distributed formation control of drones with onboard perception. IEEE/ASME Trans Mechatron2022; 27(5): 3121–3131.
4.
HongHYuCYuW. Adaptive fixed-time control for attitude consensus of disturbed multi-spacecraft systems with directed topologies. IEEE Trans Netw Sci Eng2022; 9(3): 1451–1461.
5.
WuHYLiuQParkJH. Observer-based secure consensus for multiagent systems under multimode dos attacks with application to power system. IEEE Trans Cybern2025; 55(3): 1032–1044.
6.
MondalSSonarSGhommamJ. A fixed-time multi-platoon maneuvers with actuator saturation and faults. Iran J Sci Technol Trans Electr Eng2024; 48: 409–431.
7.
YuSLongX. Finite-time consensus for second-order multi-agent systems with disturbances by integral sliding mode. Automatica2015; 54: 158–165.
8.
WangLChenCLP. Reduced-order observer-based dynamic event-triggered adaptive nn control for stochastic nonlinear systems subject to unknown input saturation. IEEE Trans Neural Netw Learn Syst2021; 32(4): 1678–1690.
9.
YaoDLiHShiY. Event-based average consensus of disturbed mass via fully distributed sliding mode control. IEEE Trans Automat Contr2024; 69(3): 2015–2022.
10.
ZuoZTieL. A new class of finite-time nonlinear consensus protocols for multi-agent systems. Int J Control2014; 87(2): 363–370.
11.
ChenCHanYZhuS, et al. Distributed fixed-time tracking and containment control for second-order multi-agent systems: a nonsingular sliding-mode control approach. IEEE Trans Netw Sci Eng2023; 10(2): 687–697.
12.
GuoGTanHFengY, et al. Event-triggered super-twisting fixed-time consensus control for networked nonlinear multi-agent systems with disturbance. IEEE Trans Autom Sci Eng2025; 22: 11920–11932.
13.
DimarogonasDVFrazzoliEJohanssonKH. Distributed event-triggered control for multi-agent systems. IEEE Trans Automat Contr2012; 57(5): 1291–1297.
14.
ZhaoGWangYFuX. Hybrid event-triggered consensus tracking of multi-agent systems with discrete control update. IEEE Trans Circuits Syst II Express Briefs2022; 69(4): 2206–2210.
15.
LiHLiaoXHuangT, et al. Event-triggering sampling based leader-following consensus in second-order multi-agent systems. IEEE Trans Automat Contr2015; 60(7): 1998–2003.
16.
SongJNiuY. Dynamic event-triggered sliding mode control: dealing with slow sampling singularly perturbed systems. IEEE Trans Circuits Syst II Express Briefs2020; 67(6): 1079–1083.
17.
DolkVSBorgersDPHeemelsWPMH. Output-based and decentralized dynamic event-triggered control with guaranteed -gain performance and zeno-freeness. IEEE Trans Automat Contr2017; 62(1): 34–49.
18.
NieRHeWDuW, et al. Dynamic event-triggered SMC of multi-agent systems for consensus tracking. IEEE Trans Circuits Syst II Express Briefs2022; 69(3): 1188–1192.
19.
WangHShanJ. Distributed adaptive dynamic event-triggered control for multiple quadrotors. IEEE/ASME Trans Mechatron2023; 28(4): 1900–1910.
20.
PolyakovA. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Automat Contr2012; 57(8): 2106–2110.
21.
BhatSPBernsteinDS. Finite-time stability of continuous autonomous systems. SIAM J Control Optim2000; 38(3): 751–766.
22.
MoulayELechappeVBernuauE, et al. Robust fixed-time stability: application to sliding-mode control. IEEE Trans Automat Contr2022; 67(2): 1061–1066.
23.
GaoZLiXWeiZ, et al. Observer-based secure predefined-time control of vehicular platoon systems under attacks in sensors and actuators. IEEE Trans Intell Transp Syst2025; 26: 8907–8918.
24.
MondalSPalMSonarS, et al. Robust fixed-time event-triggered control for multi-group leader–follower consensus using state-dependent variable exponents. Iran J Sci Technol Trans Electr Eng. Epub ahead of print 5 January 2026. https://doi.org/10.1007/s40998-025-00948-6
25.
GaoZLiXWeiZ, et al. Fixed-time secure control for vehicular platoons under deception attacks on both sensor and actuator via adaptive fixed-time disturbance observer. IEEE Internet Things J2025; 12(11): 15828–15839.
26.
NathKPatelNKarIN, et al. Design of fixed-time sliding mode control using variable exponents. IFAC Journal of Systems and Control2024; 30: 100287.
27.
YogiSCBeheraLTripathyT. Neural-fxsmc: A robust adaptive neural fixed-time sliding mode control for quadrotors with unknown uncertainties. IEEE Robot Autom Lett2024; 9(6): 5927–5934.
28.
ZhangHChenJ. Bipartite consensus of multi-agent systems over signed graphs: State feedback and output feedback control approaches. Int J Robust Nonlinear Control2017; 27(1): 3–14.
29.
XiaWCaoM. Clustering in diffusively coupled networks. Automatica2011; 47(11): 2395–2405.
30.
ChauhanYSharmaBB. Cluster synchronization in switched complex dynamical networks using delayed pinning impulsive control. Iran J Sci Technol Trans Electr Eng2025; 49: 939–960.
31.
YaghmaieFASuRLewisFL, et al. Multi-party consensus of linear heterogeneous multi-agent systems. IEEE Trans Automat Contr2017; 62(11): 5578–5589.
32.
AnCSuHChenS. Leader-following exponential consensus for higher-order fractional-order mass with mismatched disturbances and event-triggered input. IEEE Trans Syst Man Cybern Syst2023; 53(10): 6448–6459.
33.
WangJXingMCaoJ, et al. H bipartite synchronization of double-layer markov switched cooperation-competition neural networks: a distributed dynamic event-triggered mechanism. IEEE Trans Neural Netw Learn Syst2023; 34(1): 278–289.
34.
GuoGTanHFengY, et al. Event-triggered fixed-time tracking control for uncertain networked autonomous surface vehicle with disturbances. Ocean Eng2024; 312: 119100.
35.
GuoGXiaoSChenF, et al. Dynamic event-triggered predefined-time adaptive attitude fault-tolerant control for uncertain unmanned aerial vehicles with disturbances and actuator faults. Aerosp Sci Technol2025; 165: 110481.
36.
LouYHongY. Distributed surrounding design of target region with complex adjacency matrices. IEEE Trans Automat Contr2015; 60: 283–288.
37.
AndrieuVPralyLAstolfiA. Homogeneous approximation, recursive observer design, and output feedback. SIAM J Control Optim2008; 47(4): 1814–1850.
38.
TianBZuoZYanX, et al. A fixed-time output feedback control scheme for double integrator systems. Automatica2017; 80: 17–24.
39.
NairRRBeheraLKumarS. Event-triggered finite-time integral sliding mode controller for consensus-based formation of multirobot systems with disturbances. IEEE Trans Control Syst Technol2019; 27(1): 39–47.
