Restricted accessResearch articleFirst published online 2024-3
Robust H∞ output consensus of heterogeneous nonlinear multi-agent systems with external disturbance and unknown time-delay based on distributed Lyapunov-based MPC
This paper investigates a Lyapunov-based Model Predictive Control (LMPC) for solving the output consensus problem of nonlinear heterogeneous Multi-Agent Systems (MASs) subject to external disturbances and unknown time delay. Considering an appropriate Lyapunov–Krasovskii Functional (LKF), the optimization problem of the cost function is stated based on the given LKF which is effective in reducing the computational load. Additionally, sufficient conditions are derived to achieve the output consensus based on the performance index by solving the Linear Matrix Inequalities. To eliminate the effects of the unknown time delay in the MASs, the distributed controllers include both state feedback and time-delay state feedback terms. At last, numerical and practical examples are provided to show the applicability and effective performance of the proposed method.
AbbasiYMomeniHRamezaniA (2021) Robust tube–based model predictive control of piecewise affine systems with enlarging the region of attraction. Journal of Vibration and Control27(5): 651–661.
2.
AminsafaeeMShafieiMH (2019) Stabilization of uncertain nonlinear discrete-time switched systems with state delays: a constrained robust model predictive control approach. Journal of Vibration and Control, 25(14): 2079–2090.
3.
BaleghiNAShafieiMH (2018) Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties. Journal of Vibration and Control24(20): 4921–4930.
4.
BonnetBFlayacE (2021) Consensus and flocking under communication failures for a class of Cucker–Smale systems. Systems and Control Letters152: 104930.
5.
ChehardoliHGhasemiA (2021) Formation control of longitudinal vehicular platoons under generic network topology with heterogeneous time delays. Journal of Vibration and Control23(5): 655–665.
6.
CoppDAVamvoudakisKGHespanhaJP (2019) Distributed output-feedback model predictive control for multi-agent consensus. Systems and Control Letters127: 52–59.
7.
DayXLiuCLLiuF (2017) Consensus protocol based on distributed model predictive control for first-order multi-agent systems. In 13th IEEE International Conference on Control and Automation, 03-06 July 2017, Ohrid, Macedonia, pp. 982–987.
8.
DuanJZhangHWangY, et al. (2018) Output consensus of heterogeneous linear MASs by self-triggered MPC scheme. Neurocomputing315: 476–485.
9.
GaoYDaiLXiaY, et al. (2017) Distributed model predictive control for consensus of nonlinear second‐order multi‐agent systems. International Journal of Robust and Nonlinear Control27(5): 830–842.
10.
GholamiHBinazadehT (2019) Observer-based H∞ finite-time controller for time-delay nonlinear one-sided Lipschitz systems with exogenous disturbances. Journal of Vibration and Control25(4): 806–819.
11.
HuangHLiDXiY (2012) Design and input-to-state practically stable analysis of the mixed H 2/H∞ feedback robust model predictive control. IET Control Theory and Applications6(4): 498–505.
12.
KouzoupisDKlintbergEDiehlM, et al. (2018) A dual Newton strategy for scenario decomposition in robust multistage MPC. International Journal of Robust and Nonlinear Control28(6): 2340–2355.
13.
NasirMHayatMFJamalA, et al. (2021) Frequency domain consensus control analysis of the networked multi-agent system with controller area network bus–induced delay. Journal of Vibration and Control, 28(19): 2900–2912.
14.
RahimiNBinazadehT (2019) Distributed robust consensus control for nonlinear leader-follower multi-agent systems based on adaptive observer-based sliding mode. Journal of Vibration and Control25(1): 109–121.
15.
RahimiNBinazadehTShasadeghiM (2020) Observer-based consensus of higher-order nonlinear heterogeneous multiagent systems with unmatched uncertainties: application on robotic systems. Robotica38(9): 1605–1626.
16.
RahimiNBinazadehT (2021) Robust model predictive control of heterogeneous time-delay multi-agent systems with polytopic uncertainties and input amplitude constraints. Journal of Vibration and Control27(9): 1098–1112.
17.
SunL (2019) Adaptive fault-tolerant constrained control of cooperative spacecraft rendezvous and docking. IEEE Transactions on Industrial Electronics67(4): 3107–3115.
18.
TaghiehAShafieiMH (2021) Observer-based robust model predictive control of switched nonlinear systems with time delay and parametric uncertainties. Journal of Vibration and Control27(17): 1939–1955.
19.
WangZZhuYXueH, et al. (2022) Neural networks-based adaptive event-triggered consensus control for a class of multi-agent systems with communication faults. Neurocomputing470: 99–108.
20.
YangSXuJXLiX (2016) Iterative learning control with input sharing for multi-agent consensus tracking. Systems and Control Letters94: 97–106.
21.
YinXYueDHuS, et al. (2018) Distributed adaptive model-based event-triggered predictive control for consensus of multiagent systems. International Journal of Robust and Nonlinear Control28(18): 6180–6201.
22.
ZamanianMAbdollahiFYadavar NikraveshSK (2021) Finite-time consensus of heterogeneous unknown nonlinear multi-agent systems with external disturbances via event-triggered control. Journal of Vibration and Control27(15–16): 1806–1823.
23.
ZhanJChenYAleksandrovA, et al. (2019) Robust distributed model predictive control based consensus of general linear multi-agent systems. In: Proceedings of the International Conference 2019 IEEE International Symposium on Circuits and Systems (ISCAS), pp. 1–5.
24.
ZhanXHaoLHanT, et al. (2021) Adaptive bipartite output consensus for heterogeneous multi-agent systems with quantized information: a fixed-time approach. Journal of the Franklin Institute358(14): 7221–7236.
25.
ZhuangJPengSWangY (2022) Exponential consensus of nonlinear stochastic discrete-time multi-agent systems with time-varying delay via impulsive control. International Journal of Systems Science53 (15): 3286–3301.
26.
ZhangLZhuZShiP, et al. (2016) Time-dependent Switched Discrete-Time Linear Systems. Springer International Publishing.
27.
ZhongZSunLWangJ, et al. (2015) Consensus for first-and second-order discrete-time multi-agent systems with delays based on model predictive control schemes. Circuits, Systems, and Signal Processing34(1): 127–159.
