Abstract
This chapter focuses on hybrid communication and control and its application to second-order linear/nonlinear multi-agent networks. In terms of the impulsive control, a distributed hybrid control based on impulsive communications is presented, and an index function is introduced to assess the performance of agents. It is shown that by synthesizing the coupling weights and the average impulsive intermittence, multi-agent networks can achieve guaranteed performance consensus. Furthermore, the consensus performance of multi-agent networks with second-order nonlinear dynamics is investigated. In light of consensus performance, we resort to a hybrid impulsive and switching control scheme to develop an improved updating rule such that agents can realize consensus and meet some global performance guarantee simultaneously. Simulations are further presented to illuminate the obtained theoretical results.
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R. Olfati-Saber and R. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520–1533, 2004.
W. Ren and R. W. Beard, “Consensus seeking in multiagent systems under dynamically changing interaction topologies,” IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655–661, 2005.
J. Qin and H. Gao, “A sufficient condition for convergence of sampled-data consensus for double-integrator dynamics with nonuniform and time-varying communication delays,” IEEE Trans. Autom. Control, vol. 57, no. 9, pp. 2417–2422, 2012.
T. Li, M. Y. Fu, L. H. Xie, and J. F. Zhang, “Distributed consensus with limited communication date rate,” IEEE Trans. Autom. Control, vol. 56, no. 2, pp. 279–292, 2011.
Z. H. Guan, Z. H. Liu, and G. Feng, and M. Jian, “Impulsive consensus algorithms for second-order multi-agent networks with sampled information,” Automatica, vol. 48, pp. 1397–1404, 2012.
H. L. Xu, K. L. Teo, and X. Z. Liu, “Robust stability analysis of guaranteed cost control for impulsive switched systems,” IEEE Trans. Syst., Man, Cybern. B, vol. 38, no. 5, pp. 1419–1422, 2008.
H. G. Zhang, Y. C. Wang, and D. R. Liu, “Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems with multiple time delays,” IEEE Trans. Syst., Man, Cybern. B, vol. 38, no. 1, pp. 126–140, 2008.
W. H. Chen, L. L.Wang, D. X. Li, and X. M. Lu, “Robust impulsive guaranteed cost control of uncertain chaotic Lure systems,” Proc. Inter. Conf. Electr. Contr. Engineering, pp. 1838–1842, 2010.
Z. H. Guan, D. J. Hill, and X. Shen, “On hybrid impulsive and switching systems and application to nonlinear control,” IEEE Trans. Autom. Control, vol. 50, no. 7, 1pp. 058–1062, 2005.
X. Meng and T. Chen, “Optimal sampling and performance comparison of periodic and event based impulse control,” IEEE Trans. Autom. Control, vol. 57, no. 12, pp. 3252–3259, 2012.
J. Lu, D. W. C. Ho, and J. Cao, “A unified synchronization criterion for impulsive dynamical networks,” Automatica, vol. 46, pp. 1215–1222, 2010.
J. P. Hespanha and J. P. Morse, “Satbility of switched systems with average dwell-time,” in Proc. 38th Conf. Decision and Control, pp. 2655–2660, 1999.
W. Yu, G. Chen, M. Cao, and J. Kurths, “Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics,” IEEE Trans. Syst., Man, Cybern. B, vol. 40, no. 3, pp. 881–891, 2010.
W. Yu, W. X. Zheng, G. Chen, and J. Cao, “Second-order consensus in multi-agent dynamical systems with sampled position data,” Automatica, vol. 47, no. 1496–1503, 2011.
D. Xie, S. Xu, Y. Chu, and Y. Zou, “Event-triggered average consensus for multi-agent systems with nonlinear dynamics and switching topology,” J. Frankl. Inst. vol. 352, no. 3, pp. 1080–1098, 2015.
J. Wang and M. Xin, “Multi-agent consensus algorithm with obstacle avoidance via optimal control approach,” in: Proc. Amer. Control Conf., 2011, pp. 2783–2788.
W. Ren, “On consensus algorithms for double-integrator dynamics,” IEEE Trans. Autom. Control, vol. 58, no. 6, pp. 1503–1509, 2008.
Y. Cao and W. Ren, “Optimal linear-consensus algorithms: An LQR perspective,” IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 819–830, 2010.
L. Xiao and S. Boyd, “Fast linear iterations for distributed averaging,” Syst. Control Lett., vol. 53, no. 1, pp. 65–78, 2004.
R. Olfati-Saber, “Ultrafast consensus in small world networks,” in: Proc. Amer. Control Conf., 2005, pp. 2371–2378.
Z. P. Jin and R. M. Murray, “Multi-hop relay protocols for fast consensus seeking,” in: Proc. 45th IEEE Conf. Decision Control, 2006, pp. 1001–1006.
W. H. Chen, J. X. Xu, and Z.-H. Guan, “Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays,” IEEE Trans. Autom. Control, vol. 48, no. 12, pp. 2270–2277, 2003.
H. L. Xu, K. L. Teo, and X. Z. Liu, “Robust stability analysis of guaranteed cost control for impulsive switched systems,” IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 5, pp. 1419–1422, 2008.
Z.-H. Guan, B. Hu, M. Chi, D.-X. He, and X.-M. Cheng, “Guaranteed performance consensus in second-order multi-agent systems with hybrid impulsive control,” Automatica, vol. 50, no. 7, pp. 2415–2418, 2014.
X. J. Zhou, P. Shi, C. C. Lim, C. H. Yang, and W. H. Gui, “Event based guaranteed cost consensus for distributed multi-agent systems,” J. Frankl. Inst., vol. 352, no. 9, pp. 3546–3563, 2015.
Y. B. Hu, P. Li, and J. Lam, “On the synthesis of H ∞ consensus for multi-agent systems,” IMA J. Math. Control & Information, vol. 32, no. 3, pp. 591–607, 2015.
D. R. Ding, Z. D. Wang, B. Shen, and G. L. Wei, “Event-triggered consensus control for discrete-time stochastic multi-agent systems: The input-to-state stability in probability,” Automatica, vol. 62, pp. 284–291, 2015.
D. Ding, Z. Wang, J. Lam, and B. Shen, “Finite-horizon H ∞ control for discrete time-varying systems with randomly occurring nonlinearities and fading measurements,” IEEE Trans. Autom. Control, vol. 60, no. 9, pp. 2488–2493, 2015.
J. L. Xiong, J. Lam, Z. Shu, and X. R. Mao, “Stability analysis of continuous-time switched systems with a random switching signal,” IEEE Trans. Automat. Control, vol. 59, no. 1, pp. 180–186, 2014.
S. A. Bortoff, “Path planning for UAVs,” in: Proc. Amer. Control Conf., 2002, pp. 364–368.
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Guan, ZH., Hu, B., Shen, X.(. (2019). Hybrid Communication and Control in Multi-Agent Networks. In: Introduction to Hybrid Intelligent Networks. Springer, Cham. https://doi.org/10.1007/978-3-030-02161-0_8
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DOI: https://doi.org/10.1007/978-3-030-02161-0_8
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