This article investigates the double dynamic event-triggered consensus of linear multiagent systems with periodic sampled-data via a novel decentralized output feedback stabilization approach. A novel dynamic event-triggered strategy based on periodic sampled-data is proposed for the sensor-to-controller channel and controller-to-actuator channel, respectively. This strategy can further reduce the number of triggers without affecting the system’s performance. We use a state linear transformation based on a directed spanning tree of the communication topology to equivalently transform the consensus problem into the decentralized output feedback stabilization problem of the corresponding edge-state system and propose a decentralized pole assignment approach to design the gain matrix for the consensus protocol. Then, by employing the Lyapunov function combined with the lossless S-procedure, we derive consensus criteria containing matrix inequalities. Finally, numerical examples are provided to verify the effectiveness of the proposed approach.
AndersonBDOClementsDJ (1981) Algebraic characterization of fixed modes in decentralized control. Automatica17: 703–712.
2.
ChenWDuHChenCC (2023) Stability and robustness analysis of finite-time consensus algorithm for second-order multiagent systems under sampled-data control. IEEE Transactions on Systems, Man, and Cybernetics: Systems53: 1445–1452.
3.
ChenYHuangX (2024) Pi-observer-based consensus of nonlinear multiagent systems via reduced-order edge state dynamics and decentralized procedure. IEEE Transactions on Control of Network Systems11: 769–781.
4.
ChenYZhanJHuangX (2021) Distributed consensus of linear multi-agent systems via decentralized output feedback control approach. In: 2021 33rd Chinese control and decision conference (CCDC), Kunming, China, 22–24 May 2021, pp. 5297–5302. Piscataway, NJ: IEEE.
5.
CoutinhoPHSPalharesRM (2022) Codesign of dynamic event-triggered gain-scheduling control for a class of nonlinear systems. IEEE Transactions on Automatic Control67: 4186–4193.
6.
CuiYXuL (2019) Event-triggered uniform ultimate bound control for linear systems with time-varying delay. Transactions of the Institute of Measurement and Control41: 4263–4273.
7.
FanHZhengKLiuL, et al. (2022) Event-triggered finite-time consensus of second-order leader–follower multiagent systems with uncertain disturbances. IEEE Transactions on Cybernetics52: 3783–3793.
8.
FuYLiJLiX, et al. (2023) Dynamic event-triggered adaptive control for uncertain stochastic nonlinear systems. Applied Mathematics and Computation444: 0096–3003.
9.
GirardA (2014) Dynamic triggering mechanisms for event-triggered control. IEEE Transactions on Automatic Control60: 1992–1997.
10.
GuXLiuC (2019) Average-consensus tracking for first-order multi-agent systems based on sampled data. In: 2019 Chinese control conference (CCC), Guangzhou, China, 27–30 July 2019, pp. 5782–5787.
11.
HeWMoZ (2022) Secure event-triggered consensus control of linear multiagent systems subject to sequential scaling attacks. IEEE Transactions on Cybernetics52: 10314–10327.
12.
HeemelsWPMHDonkersMCF (2013) Model-based periodic event-triggered control for linear systems. Automatica49: 698–711.
13.
KoikeREndoTMatsunoF (2021) Output-based dynamic event-triggered consensus control for linear multiagent systems. Automatica133: 109863.
14.
LiQShenBWangZ, et al. (2019) Synchronization control for a class of discrete time-delay complex dynamical networks: A dynamic event-triggered approach. IEEE Transactions on Cybernetics49: 1979–1986.
15.
LiuDYangGH (2021) A dynamic event-triggered control approach to leader-following consensus for linear multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems51: 6271–6279.
16.
LuoYPangJCaoJ, et al. (2023) Finite-time dynamic event-triggered consensus of multi-agent systems with mismatched disturbances based on disturbance observer. Journal of the Franklin Institute360: 10876–10892.
17.
OzgunerUDavisonEJ (1985) Sampling and decentralized fixed modes. In: 1985 American control conference, Boston, MA, USA, 19–21 June 1985, pp. 257–262. Piscataway, NJ: IEEE.
18.
RenCEZhangJGuanY (2023) Prescribed performance bipartite consensus control for stochastic nonlinear multiagent systems under event-triggered strategy. IEEE Transactions on Cybernetics53: 468–482.
19.
SunFShenYKurthsJ, et al. (2020) Mean-square consensus of multi-agent systems with noise and time delay via event-triggered control. Journal of the Franklin Institute357: 5317–5339.
20.
TianLChenY (2023) Dynamic periodic event-triggered leader-following consensus of multiagent systems. In: 2023 42nd Chinese control conference (CCC), Tianjin, China, 24–26 July 2023, pp. 5670–5675. Piscataway, NJ: IEEE.
21.
WillemsJL (1988) Elimination of fixed modes in decentralized systems by means of sampling. Systems & Control Letters10: 1–8.
22.
WuYZhangHWangZ, et al. (2022) Leader-following and leaderless consensus of linear multiagent systems under directed graphs by double dynamic event-triggered mechanism. IEEE Transactions on Systems, Man, and Cybernetics: Systems52: 6426–6438.
23.
YangDRenWLiuX, et al. (2016) Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs. Automatica69: 242–249.
24.
YaoDLiHLuR, et al. (2020) Distributed sliding-mode tracking control of second-order nonlinear multiagent systems: An event-triggered approach. IEEE Transactions on Cybernetics50: 3892–3902.
25.
YiXLiuKDimarogonasDV, et al. (2019) Dynamic event-triggered and self-triggered control for multi-agent systems. IEEE Transactions on Automatic Control64: 3300–3307.
26.
YuZJiangHHuC (2018) Second-order consensus for multiagent systems via intermittent sampled data control. IEEE Transactions on Systems, Man, and Cybernetics: Systems48: 1986–2002.
27.
ZhangYSuY (2020) Leader–following consensus for double-integrator multi-agent systems via sampled output feedback. In: 2020 39th Chinese control conference (CCC), Shenyang, China, 27–29 July 2020, pp. 667–671. Piscataway, NJ: IEEE.
28.
ZhaoGHuaCLiuS (2022) Sampled-data dynamic output feedback consensus control of multi-agent systems. IEEE Transactions on Network Science and Engineering9: 3292–3301.
29.
ZhuWJiangZFengG (2013) Event-based consensus of multi-agent systems with general linear models. Automatica50: 552–558.
