Dynamic event-triggered average dwell time control for switching linear systems. (English) Zbl 1504.93223
Summary: This paper concerns to an event-triggered control for switching linear systems. For reducing the data transmission amount of the communication network from sensor to controller, a switching-mode independent dynamic event-trigger (DET) is constructed wherein a positive constant and a positive auxiliary variable are simultaneously involved. Based on the received discrete-time state measurements, a mode-dependent feedback control law is proposed. Given some prior activation probabilities of switching signal, an average dwell time (ADT) based controller designed method is presented. It is proved that the closed-loop system achieves Zeno-free mean square bounded exponentially stable (MSBES). Significantly, the minimal event-triggered interval can be accurately given while the maximal event-triggered interval can be approximated. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
MSC:
| 93C65 | Discrete event control/observation systems |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C05 | Linear systems in control theory |
| 93D23 | Exponential stability |
Keywords:
switching linear system; dynamic event-trigger; average dwell time; mean square bounded exponentially stable; minimal and maximal event-triggered time intervalsReferences:
| [1] | Chen, Y.; Wang, Y. E.; Wu, D., Hybrid state observer-based event-triggered control for switched linear systems with quantized input, Journal of the Franklin Institute, 358, 17, 9086-9109 (2021) · Zbl 1478.93384 · doi:10.1016/j.jfranklin.2021.09.019 |
| [2] | Cui, Y. L.; Xu, L. L., Event-triggered average dwell time control for switched uncertain linear systems with actuator saturation, International Journal of Systems Science, 49, 8, 1715-1724 (2018) · Zbl 1482.93377 · doi:10.1080/00207721.2018.1478466 |
| [3] | Cui, Y. L.; Xu, L. L., Chattering-free adaptive sliding mode control for continuous-time systems with time-varying delay and process disturbance, International Journal of Robust and Nonlinear Control, 29, 11, 3389-3404 (2019) · Zbl 1426.93123 · doi:10.1002/rnc.v29.11 |
| [4] | Cui, Y. L.; Xu, L. L., Bounded average consensus for multi-agent systems with switching topologies by event-triggered persistent dwell time control, Journal of the Franklin Institute, 356, 16, 9095-9121 (2019) · Zbl 1423.93354 · doi:10.1016/j.jfranklin.2019.07.016 |
| [5] | Cui, Y. L.; Xu, L. L., Bounded consensus for multiagent systems by event-triggered data transmission, time delay, and predictor-based control, International Journal of Robust and Nonlinear Control, 30, 2, 804-823 (2020) · Zbl 1440.93231 · doi:10.1002/rnc.v30.2 |
| [6] | Demirel, B.; Leong, A. S.; Gupta, V.; Quevedo, D. E., Tradeoffs in stochastic event-triggered control, IEEE Transactions on Automatic Control, 64, 6, 2567-2574 (2019) · Zbl 1482.93700 · doi:10.1109/TAC.9 |
| [7] | Du, S. L.; Liu, T.; Ho, D. W. C., Dynamic event-triggered control for leader-following consensus of multiagent systems, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50, 9, 3243-3251 (2020) · doi:10.1109/TSMC.6221021 |
| [8] | Ge, X. H.; Han, Q. L.; Ding, L.; Wang, Y. L.; Zhang, X. M., Dynamic event-triggered distributed coordination control and its applications: A survey of trends and techniques, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50, 9, 3112-3125 (2020) · doi:10.1109/TSMC.6221021 |
| [9] | Ge, X. H.; Han, Q. L.; Zhang, X. M.; Ding, L.; Yang, F. W., Distributed event-triggered estimation over sensor networks: A survey, IEEE Transactions on Cybernetics, 50, 3, 1306-1320 (2020) · doi:10.1109/TCYB.6221036 |
| [10] | Guan, Y. P.; Peng, C.; Cheng, A. G., A hybrid transmission scheme for networked control systems, ISA Transactions, 96, 1, 155-162 (2020) · doi:10.1016/j.isatra.2019.06.014 |
| [11] | He, W. L.; Xu, B.; Han, Q. L.; Qian, F., Adaptive consensus control of linear multiagent systems with dynamic event-triggered strategies, IEEE Transactions on Cybernetics, 50, 7, 2996-3008 (2020) · doi:10.1109/TCYB.6221036 |
| [12] | Horssen, E. P.; Antunes, D.; Heemels, M., Switched LQG control for linear systems with multiple sensing methods, Automatica, 103, 6, 217-229 (2019) · Zbl 1415.93245 · doi:10.1016/j.automatica.2019.01.036 |
| [13] | Hu, W. F.; Yang, C. H.; Huang, T. W.; Gui, W. H., A distributed dynamic event-triggered control approach to consensus of linear multiagent systems with directed networks, IEEE Transactions on Cybernetics, 50, 2, 869-874 (2020) · doi:10.1109/TCYB.6221036 |
| [14] | Huang, C.; Shen, B.; Chen, H. W.; Shu, H. S., A dynamically event-triggered approach to recursive filtering with censored measurements and parameter uncertainties, Journal of the Franklin Institute, 356, 15, 8870-8889 (2019) · Zbl 1423.93253 · doi:10.1016/j.jfranklin.2019.08.029 |
| [15] | Huang, J. S.; Wang, Q. G., Event-triggered adaptive control of a class of nonlinear systems, systems & control letters, ISA Transactions, 94, 9, 10-16 (2019) · doi:10.1016/j.isatra.2019.04.027 |
| [16] | Huang, Y. C.; Wang, J. H.; Wang, F.; He, B. T., Event-triggered adaptive finite-time tracking control for full state constraints nonlinear systems with parameter uncertainties and given transient performance, ISA Transactions, 108, 131-143 (2021) · doi:10.1016/j.isatra.2020.08.022 |
| [17] | Jin, Y.; Zhang, Y. M.; Jing, Y. W.; Fu, J., An average dwell-time method for fault-tolerant control of switched time-delay systems and its application, IEEE Transactions on Industrial Electronics, 66, 4, 3139-3147 (2019) · doi:10.1109/TIE.2018.2847684 |
| [18] | Li, J. J.; Wei, G. L.; Ding, D. R.; Li, Y. R., Quantized control for networked switched systems with a more general switching rule, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50, 5, 1909-1917 (2020) · doi:10.1109/TSMC.6221021 |
| [19] | Li, Q.; Shen, B.; Wang, Z. D.; Huang, T. W.; Luo, J., Synchronization control for a class of discrete time-delay complex dynamical networks: A dynamic event-triggered approach, IEEE Transactions on Cybernetics, 49, 5, 1979-1986 (2019) · doi:10.1109/TCYB.6221036 |
| [20] | Li, T. X.; Zhang, W. N.; Yu, L., Improved switched system approach to networked control systems with time-varying delays, IEEE Transactions on Control Systems Technology, 27, 6, 2711-2717 (2019) · doi:10.1109/TCST.87 |
| [21] | Li, X. D.; Yang, X. Y.; Cao, J. D., Event-triggered impulsive control for nonlinear delay systems, Automatica, 117, 9, Article 108981 (2020) · Zbl 1441.93179 · doi:10.1016/j.automatica.2020.108981 |
| [22] | Li, X. W.; Tang, Y.; Karimi, H. R., Consensus of multi-agent systems via fully distributed event-triggered control, Automatica, 116, Article 108898 (2020) · Zbl 1440.93235 · doi:10.1016/j.automatica.2020.108898 |
| [23] | Li, Z. Y.; Ma, D.; Zhao, J., Dynamic event-triggered \(####\) control for switched affine systems with sampled-data switching, Nonlinear Analysis: Hybrid Systems, 39, 2, Article 100978 (2021) · Zbl 1478.93409 · doi:10.1016/j.nahs.2020.100978 |
| [24] | Liu, J.; Zhang, Y. L.; Yu, Y.; Liu, H.; Sun, C. Y., A Zeno-free self-triggered approach to practical fixed-time consensus tracking with input delay, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52, 5, 3126-3136 (2021) · doi:10.1109/TSMC.2021.3063117 |
| [25] | Liu, K.; Selivanov, A.; Fridman, E., Survey on time-delay approach to networked control, Annual Reviews in Control, 48, 4, 57-79 (2019) · doi:10.1016/j.arcontrol.2019.06.005 |
| [26] | Liu, L.; Ding, X. W.; Zhou, W. N.; Li, X. L., Global mean square exponential stability and stabilization of uncertain switched delay systems with Lévy noise and flexible switching signals, Journal of the Franklin Institute, 356, 18, 11520-11545 (2019) · Zbl 1427.93204 · doi:10.1016/j.jfranklin.2018.12.037 |
| [27] | Liu, Y. R.; Wang, Z. D.; Ma, L. F.; Alsaadi, F. E., Robust \(####\) control for a class of uncertain nonlinear systems with mixed time-delays, Journal of the Franklin Institute, 355, 14, 6339-6352 (2018) · Zbl 1398.93100 · doi:10.1016/j.jfranklin.2018.06.024 |
| [28] | Luo, S. X.; Deng, F. Q.; Chen, W. H., Dynamic event-triggered control for linear stochastic systems with sporadic measurements and communication delays, Automatica, 107, 3, 86-94 (2019) · Zbl 1429.93227 · doi:10.1016/j.automatica.2019.05.028 |
| [29] | Nejad, H. S.; Ghiasi, A. R.; Badamchizadeh, M. A., Robust simultaneous finite-time control and fault detection for uncertain linear switched systems with time-varying delay, IET Control Theory & Applications, 11, 7, 1041-1052 (2017) · doi:10.1049/cth2.v11.7 |
| [30] | Niu, B.; Zhao, P.; Liu, J. D.; Ma, H. J.; Liu, Y. J., Global adaptive control of switched uncertain nonlinear systems: An improved MDADT method, Automatica, 115, Article 108872 (2020) · Zbl 1436.93068 · doi:10.1016/j.automatica.2020.108872 |
| [31] | Ren, Y.; Er, M. J.; Sun, G. H., Switched systems with average dwell time: Computation of the robust positive invariant set, Automatica, 85, 11, 306-313 (2017) · Zbl 1375.93046 · doi:10.1016/j.automatica.2017.07.066 |
| [32] | Sun, T.; Liu, T.; Sun, X. M., Stability analysis of cyclic switched linear systems: An average cycle dwell time approach, Information Sciences, 544, 2, 227-237 (2021) · Zbl 1478.93477 · doi:10.1016/j.ins.2020.07.053 |
| [33] | Wang, A. Q.; Liu, L.; Qiu, J. B.; Feng, G., Event-triggered robust adaptive fuzzy control for a class of nonlinear systems, IEEE Transactions on Fuzzy Systems, 27, 8, 1648-1658 (2019) · doi:10.1109/TFUZZ.91 |
| [34] | Wang, X.; Zhao, J., Event-triggered control for switched linear systems: A control and switching joint triggering strategy, ISA Transactions, 122, 380-386 (2021) · doi:10.1016/j.isatra.(2021).05.008 |
| [35] | Wang, X. D.; Fei, Z. Y.; Yan, H. C.; Xu, Y. L., Dynamic event-triggered fault detection via zonotopic residual evaluation and its application to vehicle lateral dynamics, IEEE Transactions on Industrial Informatics, 16, 11, 6952-6961 (2020) · doi:10.1109/TII.9424 |
| [36] | Wang, Z. M.; Wei, A. R.; Zhang, X. F., Stability analysis and control design based on average dwell time approaches for switched nonlinear port-controlled Hamiltonian systems, Journal of the Franklin Institute, 356, 6, 3368-3397 (2019) · Zbl 1411.93157 · doi:10.1016/j.jfranklin.2019.02.024 |
| [37] | Wu, Y. B.; Shen, B.; Ahn, C. K.; Li, W. X., Intermittent dynamic event-triggered control for synchronization of stochastic complex networks, IEEE Transactions on Circuits and Systems - I: Regular Papers, 68, 6, 2639-2650 (2021) · doi:10.1109/TCSI.2021.3071034 |
| [38] | Xiang, M.; Xiang, Z. R.; Karimi, H. R., Asynchronous \(####\) control of delayed switched positive systems with mode-dependent average dwell time, Information Sciences, 278, 5, 703-714 (2014) · Zbl 1355.93091 · doi:10.1016/j.ins.2014.03.086 |
| [39] | Xu, X. Z.; Mao, X.; Zhang, H. B., Stability analysis of switched system with all subsystems unstable under novel average dwell time criteria, IEEE Access, 7, 44959-44965 (2019) · doi:10.1109/Access.6287639 |
| [40] | Yang, Y. K.; Niu, Y. G., Fixed-time adaptive fuzzy control for uncertain non-linear systems under eventtriggered strategy, IET Control Theory and Applications, 14, 14, 1845-1854 (2020) · Zbl 1542.93355 · doi:10.1049/cth2.v14.14 |
| [41] | Yu, H.; Hao, F.; Chen, T. W., A uniform analysis on input-to-state stability of decentralized event-triggered control systems, IEEE Transactions on Automatic Control, 64, 8, 3423-3430 (2019) · Zbl 1482.93533 · doi:10.1109/TAC.9 |
| [42] | Yu, Q.; Yuan, X. Y., A generalized mode-dependent average dwell time approach to stability analysis of positive switched systems with two subsystems, Journal of the Franklin Institute, 357, 14, 9976-9991 (2020) · Zbl 1448.93256 · doi:10.1016/j.jfranklin.2020.07.047 |
| [43] | Zhan, J. Y.; Hu, Y. J.; Li, X., Adaptive event-triggered distributed model predictive control for multi-agent systems, Systems & Control Letters, 134, 1, Article 104531 (2019) · Zbl 1428.93061 · doi:10.1016/j.sysconle.2019.104531 |
| [44] | Zhang, G. X.; Tanwani, A., ISS Lyapunov functions for cascade switched systems and sampled-data control, Automatica, 105, 1, 216-227 (2019) · Zbl 1429.93314 · doi:10.1016/j.automatica.2019.03.028 |
| [45] | Zhang, H. G.; Han, J.; Wang, Y. C.; Jiang, H., \(####\) consensus for linear heterogeneous multiagent systems based on event-triggered output feedback control scheme, IEEE Transactions on Automatic Control, 49, 6, 2268-2279 (2020) · doi:10.1109/TCYB.2018.2823362 |
| [46] | Zhang, M.; Shi, P.; Shen, C.; Wu, Z. G., Static output feedback control of switched nonlinear systems with actuator faults, IEEE Transactions on Fuzzy Systems, 28, 8, 1600-1609 (2020) · doi:10.1109/TFUZZ.91 |
| [47] | Zhang, X. M.; Han, Q. L.; Ge, X. H.; Ding, D. R.; Ding, L.; Yue, D.; Peng, C., Networked control systems: A survey of trends and techniques, IEEE/CAA Journal of Automatica Sinica, 7, 1, 1-17 (2020) · doi:10.1109/JAS.6570654 |
| [48] | Zhao, C.; Zhong, S. M.; Zhong, Q. S.; Shi, K. B., Synchronization of Markovian complex networks with input mode delay and Markovian directed communication via distributed dynamic event-triggered control, Nonlinear Analysis: Hybrid Systems, 36, 12, Article 100883 (2020) · Zbl 1441.93107 · doi:10.1016/j.nahs.2020.100883 |
| [49] | Zhao, X. Y.; Chen, H.; Zhang, Z. Z.; Dong, S. Y.; Zhong, S. M.; You, Z. Y., Dynamic event-triggered \(####\) control on nonlinear asynchronous switched system with mixed time-varying delays, Journal of the Franklin Institute, 359, 1, 520-555 (2022) · Zbl 1480.93276 · doi:10.1016/j.jfranklin.2021.11.006 |
| [50] | Zheng, D. H.; Zhang, H. B.; Zhang, J. A.; Zheng, W. X.; Su, S. W., Stability of asynchronous switched systems with sequence-based average dwell time approaches, Journal of the Franklin Institute, 357, 4, 2149-2166 (2020) · Zbl 1451.93284 · doi:10.1016/j.jfranklin.2019.11.067 |
| [51] | Zou, L.; Wang, Z. D.; Zhou, D. H., Moving horizon estimation with non-uniform sampling under component-based dynamic event-triggered transmission, Automatica, 12, Article 109154 (2020) · Zbl 1448.93191 · doi:10.1016/j.automatica.2020.109154 |
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.
