During recent years, a lot of distributed control approaches based on static feedback controllers have been proposed to realize consensus of multi-agents systems with undirected topologies. However, many of these approaches have not been generalized to systems with directed topologies yet. Therefore, in this paper, for first- and second-order multi-agents systems with directed topologies, we propose a series of new nonlinear consensus protocols based on traditional design. With integral Lyapunov functions, we can prove the stability of proposed control protocols and a group of simulation results are also given to testify our theory.
AndreassonMDimarogonasDVSandbergH, et al. (2014) Distributed control of networked dynamical systems: Static feedback, integral action and consensus. IEEE Transactions on Automatic Control59(7): 1750–1764.
2.
ChangXHLiZMXiongJ, et al. (2017) LMI approaches to input and output quantized feedback stabilization of linear systems. Applied Mathematics and Computation315: 162–175.
3.
ChengBLiZK (2019) Fully distributed event-triggered protocols for linear multiagent networks. IEEE Transactions on Automatic Control64(4): 1655–1662.
4.
DengCYangGH (2018) Distributed adaptive fuzzy control for nonlinear multiagent systems under directed graphs. IEEE Transactions on Fuzzy Systems26(3): 1356–1366.
5.
DingDRHanQLWangZD, et al. (2019) A survey on model-based distributed control and filtering for industrial cyber-physical systems. IEEE Transactions on Industrial Informatics15(5): 2483–2499.
6.
DingZTLiZK (2016) Distributed adaptive consensus control of nonlinear output-feedback systems on directed graphs. Automatica72: 46–52.
7.
FuWMQinJHShiY, et al. (2020) Resilient consensus of discrete-time complex cyber-physical networks under deception attacks. IEEE Transactions on Industrial Informatics16(7): 4868–4877.
8.
HuJPWuYZLiT, et al. (2019) Consensus control of general linear multiagent systems with antagonistic interactions and communication noises. IEEE Transactions on Automatic Control64(5): 2122–2127.
9.
LiKHuaCCYouX, et al. (2020) Distributed consensus control for nonlinear multiagent systems under directed graphs of dynamic frequency switches. IEEE Transactions on Automatic Control.
10.
LiuJLTianEGXieXP, et al. (2019) Distributed event-triggered control for networked control systems with stochastic cyber-attacks. Journal of The Franklin Institute-Engineering and Applied Mathematics356(17): 10260–10276.
11.
LiuXDDuCKLiuHK, et al. (2018) Distributed event-triggered consensus control with fully continuous communication free for general linear multi-agent systems under directed graph. International Journal of Robust and Nonlinear Control28(1): 132–143.
12.
LinPRenWYangCH, et al. (2019) Distributed optimization with nonconvex velocity constraints, nonuniform position constraints, and nonuniform stepsizes. IEEE Transactions on Automatic Control64(6): 2575–2582.
13.
LuXQYuXHLaiJG, et al. (2017) Distributed secondary voltage and frequency control for islanded microgrids with uncertain communication links. IEEE Transactions on Industrial Informatics13(2): 448–460.
14.
LuoZKSunZFPengJM (2019) Distributed control of multiple supercapacitors via static feedback. Mathematical Problems in Engineering2019: 1–8.
15.
MaLZongGDZhaoXD, et al. (2019) Observed-based adaptive finite-time tracking control for a class of nonstrict-feedback nonlinear systems with input saturation. Journal of the Franklin Institute.
16.
MeiJRenWChenJ (2016) Distributed consensus of second-order multi-agent systems with heterogeneous unknown inertias and control gains under a directed graph. IEEE Transactions on Automatic Control61(8): 2019–2034.
17.
WenGGYuYGPengZX, et al. (2016)Distributed finitetime consensus tracking for nonlinear multi-agent systems with a time-varying reference state. International Journal of Systems Science47(8): 1856–1867.
18.
YuWWLuJHYuXH, et al. (2015) Distributed adaptive control for synchronization in directed complex networks. SIAM Journal on Control and Optimization53(5): 2980–3005.
19.
ZuoZYTianBLDefoortM, et al. (2018) Fixed-time consensus tracking for multiagent systems with high-order integrator dynamics. IEEE Transactions on Automatic Control63(2): 563–570.
