×

Output consensus for switched multi-agent systems with bumpless transfer control and event-triggered communication. (English) Zbl 1478.93637

Summary: This paper considers output consensus for a class of switched multi-agent systems with bumpless transfer control and event-triggered communication. For switched multi-agent systems, all the subsystems of each agent are allowed to be instabilizabled. For the bumpless transfer performance, we suppress control bumps at switching instants, and completely exclude control bumps at triggering instants by constructing a dynamic compensator. Besides, by designing an event-triggered rule, the communication cost is reduced and the positive lower bound between the consecutive triggering instants is guaranteed. Under the co-design of the switching law, bumpless transfer control and event-triggered rule, sufficient conditions guaranteeing output consensus are presented. The effectiveness of the result is validated by an example.

MSC:

93D50 Consensus
93A16 Multi-agent systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C65 Discrete event control/observation systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Boyd, Stephen; El Ghaoui, Laurent; Feron, Eric; Balakrishnan, Venkataramanan, Linear Matrix Inequalities in System and Control Theory, vol. 15 (1994), SIAM · Zbl 0816.93004
[2] Daafouz, Jamal; Geromel, José C.; Deaecto, Grace S., A simple approach for switched control design with control bumps limitation, Syst. Control Lett., 61, 12, 1215-1220 (2012) · Zbl 1255.93072
[3] Dimarogonas, Dimos V.; Frazzoli, Emilio; Johansson, Karl H., Distributed event-triggered control for multi-agent systems, IEEE Trans. Autom. Control, 57, 5, 1291-1297 (2012) · Zbl 1369.93019
[4] Ding, Lei; Han, Qing-Long; Ge, Xiaohua; Zhang, Xian-Ming, An overview of recent advances in event-triggered consensus of multiagent systems, IEEE Trans. Cybern., 48, 4, 1110-1123 (2018)
[5] Du, Sheng-Li; Liu, Tao; Ho, Daniel W. C., Dynamic event-triggered control for leader-following consensus of multiagent systems, IEEE Trans. Syst. Man Cybern. Syst., 50, 9, 3243-3251 (2018)
[6] Shuzhi Sam Ge, Zhendong Sun, Switched controllability via bumpless transfer input and constrained switching, IEEE Trans. Autom. Control 53 (7) (2008) 1702-1706 · Zbl 1367.93070
[7] Ge, Xiaohua; Yang, Fuwen; Han, Qing-Long, Distributed networked control systems: a brief overview, Inf. Sci., 380, 117-131 (2017)
[8] Jia, Hongwei; Zhao, Jun, Output regulation of switched linear multi-agent systems: an agent-dependent average dwell time method, Int. J. Syst. Sci., 47, 11, 2510-2520 (2016) · Zbl 1345.93080
[9] Liberzon, Daniel, Switching in Systems and Control (2003), Springer Science & Business Media · Zbl 1036.93001
[10] Lin, Xue; Zheng, Yuanshi, Finite-time consensus of switched multiagent systems, IEEE Trans. Syst. Man Cybern. Syst., 47, 7, 1535-1545 (2016)
[11] Liu, Bin; Hill, David J.; Sun, Zhijie, Input-to-state-kl-stability and criteria for a class of hybrid dynamical systems, Appl. Math. Comput., 326, 124-140 (2018) · Zbl 1426.93294
[12] Ma, Yajing; Zhao, Jun, Distributed integral-based event-triggered scheme for cooperative output regulation of switched multi-agent systems, Inf. Sci., 457, 208-221 (2018) · Zbl 1448.93206
[13] Ma, Yajing; Zhao, Jun, Distributed event-triggered consensus using only triggered information for multi-agent systems under fixed and switching topologies, IET Control Theory Appl., 12, 9, 1357-1365 (2018)
[14] Malloci, Ivan; Hetel, Laurentiu; Daafouz, Jamal; Iung, Claude; Szczepanski, Patrick, Bumpless transfer for switched linear systems, Automatica, 48, 7, 1440-1446 (2012) · Zbl 1246.93075
[15] Meng, Xiangyu; Xie, Lihua; Soh, Yeng Chai, Event-triggered output regulation of heterogeneous multiagent networks, IEEE Trans. Autom. Control, 63, 12, 4429-4434 (2018) · Zbl 1423.93026
[16] Nowzari, Cameron; Garcia, Eloy; Cortés, Jorge, Event-triggered communication and control of networked systems for multi-agent consensus, Automatica, 105, 1-27 (2019) · Zbl 1429.93339
[17] Olfati-Saber, Reza; Murray, Richard M., Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Autom. Control, 49, 9, 1520-1533 (2004) · Zbl 1365.93301
[18] Peng, Chen; Li, Fuqiang, A survey on recent advances in event-triggered communication and control, Inf. Sci., 457, 113-125 (2018) · Zbl 1448.93210
[19] Yang-Yang Qian, Lu Liu, Gang Feng, Output consensus of heterogeneous linear multi-agent systems with adaptive event-triggered control, IEEE Trans. Autom. Control 64 (6) (2019) 2606 - 2613. · Zbl 1482.93050
[20] Ren, Wei; Beard, Randal W., Distributed Consensus in Multi-vehicle Cooperative Control, Springer (2008) · Zbl 1144.93002
[21] Su, Youfeng; Huang, Jie, Cooperative output regulation of linear multi-agent systems, IEEE Trans. Autom. Control, 57, 4, 1062-1066 (2012) · Zbl 1369.93051
[22] Sun, Xi-Ming; Wang, Xue-Fang; Hong, Yiguang; Xia, Weiguo, Stabilization control design with parallel-triggering mechanism, IEEE Trans. Ind. Electron., 64, 4, 3260-3267 (2017)
[23] Tabuada, Paulo, Event-triggered real-time scheduling of stabilizing control tasks, IEEE Trans. Autom. Control, 52, 9, 1680-1685 (2007) · Zbl 1366.90104
[24] Wang, Dong; Gupta, Vijay; Wang, Wei, An event-triggered protocol for distributed optimal coordination of double-integrator multi-agent systems, Neurocomputing, 319, 34-41 (2018)
[25] Wang, Dong; Wang, Zhu; Chen, Mingfei; Wang, Wei, Distributed optimization for multi-agent systems with constraints set and communication time-delay over a directed graph, Inf. Sci., 438, 1-14 (2018) · Zbl 1440.68308
[26] Wang, Fu-Yong; Ni, Yuan-Hua; Liu, Zhong-Xin; Chen, Zeng-Qiang, Containment control for general second-order multiagent systems with switched dynamics, IEEE Trans. Cybern., 50, 2, 550-560 (2020)
[27] Wu, Yuanqing; Meng, Xiangyu; Xie, Lihua; Lu, Renquan; Su, Hongye; Wu, Zheng-Guang, An input-based triggering approach to leader-following problems, Automatica, 75, 221-228 (2017) · Zbl 1351.93091
[28] Xu, Yong; Wu, Zheng-Guang; Pan, Ya-Jun; Ahn, Choon Ki; Yan, Huaicheng, Consensus of linear multiagent systems with input-based triggering condition, IEEE Trans. Syst. Man Cybern. Syst., 49, 11, 2308-2317 (2019)
[29] Yang, Dapeng; Ren, Wei; Liu, Xiangdong; Chen, Weisheng, Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs, Automatica, 69, 242-249 (2016) · Zbl 1338.93239
[30] Yang, Dong; Zong, Guangdeng; Nguang, Sing Kiong, \( \operatorname{H}_\infty\) bumpless transfer reliable control of markovian switching LPV systems subject to actuator failures, Inf. Sci., 512, 431-445 (2020) · Zbl 1461.93489
[31] Yoo, Sung Jin, Distributed consensus tracking of a class of asynchronously switched nonlinear multi-agent systems, Automatica, 87, 421-427 (2018) · Zbl 1378.93015
[32] Zhang, Wenbing; Ho, Daniel W. C.; Tang, Yang; Liu, Yurong, Quasi-consensus of heterogeneous-switched nonlinear multiagent systems, IEEE Trans. Cybern., 50, 7, 1113-1122 (2020)
[33] Zhang, Xian-Ming; Han, Qing-Long; Zhang, Bao-Lin, An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems, IEEE Trans. Ind. Inf., 13, 1, 4-16 (2017)
[34] Zhao, Jun; Hill, David J., Dissipativity theory for switched systems, IEEE Trans. Autom. Control, 53, 4, 941-953 (2008) · Zbl 1367.93452
[35] Zhao, Jun; Hill, David J., On stability, \( \operatorname{L}_2\)-gain and \(\operatorname{H}_\infty\) control for switched systems, Automatica, 44, 5, 1220-1232 (2008) · Zbl 1283.93147
[36] Zhao, Ying; Zhao, Jun; Fu, Jun, Bumpless transfer control for switched fuzzy systems with \(L_2\)-gain property, IEEE Trans. Fuzzy Syst., 27, 10, 2039-2051 (2019)
[37] Ying Zhao, Shuanghe Yu, Jie Lian, Anti-disturbance bumpless transfer control for switched systems with its application to switched circuit model, IEEE Trans. Circ. Syst. II Express Briefs (2020a)
[38] Zhao, Ying; Zhao, Jun; Fu, Jun; Shi, Yan; Chen, Chao, Rate bumpless transfer control for switched linear systems with stability and its application to aero-engine control design, IEEE Trans. Ind. Electron., 67, 6, 4900-4910 (2020)
[39] Zheng, Yuanshi; Wang, Long, Consensus of switched multiagent systems, IEEE Trans. Circ. Syst. II Express Briefs, 63, 3, 314-318 (2015)
[40] Zuo, Zongyu; Han, Qing-Long; Ning, Boda; Ge, Xiaohua; Zhang, Xian-Ming, An overview of recent advances in fixed-time cooperative control of multiagent systems, IEEE Trans. Ind. Inf., 14, 6, 2322-2334 (2018)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.