Abstract：In order to address real-time manipulation of the networked cyber-physical systems in a distributed style, a new self-triggered strategy was suggested. Different from the already existed strategies, the guaranteed set was borrowed to join in, where agents could exchange information about their future reachable states. And moreover, the up-coming reachable states were collectively coined as guaranteed set. The available guaranteed set made it possible for the agents to autonomously schedule the instant requested information in the up-coming horizon. On account of that, the leveraged performance with lower cost, was turned into reality. At the same time, the Lyapunov function was built to verify the effectiveness of the suggested scheme, where the simulation results of a multi-agent system was also added in to keep the integrity of the touched upon idea.
成云, 宋运忠. 基于保证集的多智能体系统自触发控制[J]. 复杂系统与复杂性科学, 2017, 14(4): 97-104.
CHENG Yun, SONG Yunzhong. Guaranteed Set Based Self-Triggered Control of Multi-Agent Systems. Complex Systems and Complexity Science, 2017, 14(4): 97-104.
[1]Kim K D, Kumar P R. Cyber-physical systems: a perspective at the centennial[J]. Proceedings of the IEEE, 2012, 100:12871308. [2]Sztipanovits J, Koutsoukos X, Karsai G, et al. Toward a science of cyber-physical system integration[J]. Proceedings of the IEEE, 2012, 100(1):2944. [3]薛磊, 王庆领, 孙长银. 博弈论框架下的二阶多智能体系统领导者选择算法[J]. 控制理论与应用, 2016,33(12):15931602. Xue Lei, Wang Qingling, Sun Changyin. Game theoretical approach for the leader selection of the second-order multi-agent system[J]. Control Theory & Applications, 2016, 33(12):15931602. [4]金治群, 牛玉刚, 邹媛媛. 带有滑模观测器的多智能体一致性控制[J]. 控制理论与应用, 2017, 34(2):251259. Jin Zhiqun, Niu Yugang, Zou Yuanyuan. Consensus for multi-agent systems with sliding-mode observer[J]. Control Theory & Applications, 2017, 34(2):251259. [5]孙戎, 贾英民. 多智能体网络一致性鲁棒H∞控制问题[J]. 复杂系统与复杂性科学, 2012,9(1):1622. Sun Rong, Jia Yingmin. Robust H∞ control problem consensus of multi-agent network[J]. Complex Systems and Complexity Science, 2012,9(1):1622. [6]杨洪勇, 徐邦海, 刘飞, 等. 分数阶多智能体系统的时延一致性[J]. 复杂系统与复杂性科学, 2013, 10(3):8185. Yang Hongyong, Xu Banghai, Liu Fei, et al. Consensus of fractional-order multi-agent systems with communication delay[J]. Complex Systems and Complexity Science, 2013, 10(3):8185. [7]李勃, 陈增强, 刘忠信, 等. 含时延的多智能体系统的多静态领导者包容控制[J]. 复杂系统与复杂性科学, 2016, 13(2):105110. Li Bo, Chen Zengqiang, Liu Zhongxin, et al. Containment control for multi-agent system with multiple stationary leaders and time-delays[J]. Complex Systems and Complexity Science, 2016, 13(2):105110. [8]宋运忠, 赵威. 基于群体社会制度策略的主从多智能体汇聚[J]. 复杂系统与复杂性科学, 2012, 9(1):8894. Song Yunzhong, Zhao Wei. Leader follower multi-agents network rendezvous via swarm social system strategies[J]. Complex Systems and Complexity Science, 2012, 9(1):8894. [9]窦全胜, 刘柏枫, 厉玉蓉, 等. 线性均方一致性问题的偏差估计[J]. 自动化学报, 2017, 43(4):568575. Dou Quansheng, Liu Baifeng, Liu Yurong, et al. Variance estimation for linear mean square consensus problem[J]. Acta Automatica Sinica, 2017, 43(4):568575. [10] 李宗刚, 谢广明, 高溥. 一类线性多智能体系统输出反馈H∞包围控制[J]. 复杂系统与复杂性科学, 2013, 10(3):8694. Li Zonggang, Xie Guangming, Gao Pu. Output feedback H∞ containment control of linear multi-agent system[J]. Complex Systems and Complexity Science, 2013, 10(3):8694. [11] Hristu-Varsakelis D, Levine W S, Alur R, et al. Handbook of Networked and Embedded Control Systems (Control Engineering)[M]. Birkhäuser Boston, 2005. [12] Tabuada P. Event-triggered real-time scheduling of stabilizing control tasks[J]. IEEE Transactions on Automatic Control, 2007, 52(9):16801685. [13] Donkers M C F, Heemels W P M H. Output-based event-triggered control with guaranteed L∞-gain and improved and decentralized event-triggering[J]. IEEE Transactions on Automatic Control, 2012, 57(6):13621376. [14] Dimarogonas D V, Frazzoli E, Johansson K H. Distributed event-triggered control for multi-agent systems[J]. IEEE Transactions on Automatic Control, 2012,57(5):1291 1297. [15] Garcia E, Antsaklis P J. Model-based event-triggered control for systems with quantization and time-varying network delays[J]. IEEE Transactions on Automatic Control, 2013, 58(2):422434. [16] Heemels W P M H, Donkers M C F. Model-based periodic event-triggered control for linear systems [J]. Automatica, 2013, 49(3):698711. [17] Wang X, Lemmon M D. Event-triggered broadcasting across distributed networked control systems[C]// American Control Conference, IEEE, 2008:31393144. [18] 杨若涵, 张皓, 严怀成. 基于事件触发的拓扑切换异构多智能体协同输出调节[J].自动化学报, 2017, 43(3):472477. Yang Ruohan, Zhang Hao, Yan Huaicheng. Event-triggered cooperative output regulation of heterogeneous multi-agent systems with switching topology[J]. Acta Automatica Sinica, 2017, 43(3):472477. [19] Velasco M, Mart P, Fuertes J M. The self triggered task model for real-time control systems[C]∥ 24th IEEE Real-Time Systems Symposium, 2004:6770. [20] Anta A, Tabuada P. To sample or not to sample: self-triggered control for nonlinear systems[J]. IEEE Transactions on Automatic Control, 2010, 55(9):20302042. [21] Nowzari C S J. Self-triggered coordination of robotic networks for optimal deployment[J]. Automatica, 2012, 48(6):10771087. [22] Althoff M, Guernic C L, Krogh B H. Reachable set computation for uncertain time-varying linear systems[C]// ACM International Conference on Hybrid Systems: Computation and Control, Chicago, 2011:93102. [23] Frehse G. PHAVer: Algorithmic verification of hybrid systems past HyTech[J]. International Journal on Software Tools for Technology Transfer, 2008,10(3):263279. [24] Blanchini F, Miani S. Set-Theoretic Methods in Control[M]. Boston: Birkhäuser Boston, 2008.
