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Event-triggered predictive control of nonlinear stochastic systems with output delay. (English) Zbl 1485.93367

Summary: In this paper, we focus on the stabilization of nonlinear stochastic systems with output delay. Based on the predictive scheme and event-triggering mechanism (ETM), a novel event-triggered predictive control is proposed to exponentially stabilize such stochastic systems. Moreover, this novel control law allows non-uniform sampled measurements and large delays involved in the output. Simultaneously, the control input error induced by ETM is considered and a positive lower bound on the inter-event times is obtained. Finally, an illustrative example is given to demonstrate the obtained results.

MSC:

93C65 Discrete event control/observation systems
93D23 Exponential stability
93C10 Nonlinear systems in control theory
93E03 Stochastic systems in control theory (general)
93C43 Delay control/observation systems
Full Text: DOI

References:

[1] Anderson, R.; Milutinovic, D.; Dimarogonas, D., Self-triggered sampling for second-moment stability of state-feedback controlled SDE systems, Automatica, 54, 8-15 (2015) · Zbl 1318.93096
[2] Bekiaris-Liberis, N.; Krstic, M., Robustness of nonlinear predictor feedback laws to time and state-dependent delay perturbations, Automatica, 49, 1576-1590 (2013) · Zbl 1360.93591
[3] Cacace, F.; Germani, A.; Manes, C.; Papi, M., Predictor-based control of stochastic systems with nonlinear diffusions and input delay, Automatica, 107, 43-51 (2019) · Zbl 1429.93110
[4] Cetinkaya, A.; Hayakawa, T., A sampled-data approach to pyragas-type delayed feedback stabilization of periodic orbits, IEEE Transactions on Automatic Control, 64, 3748-3755 (2019) · Zbl 1482.93463
[5] Ding, D.; Wang, Z.; Shen, B.; Wei, G., Event-triggered consensus control for discrete-time stochastic multi-agent systems: The input-to-state stability in probability, Automatica, 62, 284-291 (2015) · Zbl 1330.93155
[6] Dolk, V.; Heemels, M., Event-triggered control systems under packet losses, Automatica, 80, 143-155 (2017) · Zbl 1370.93170
[7] Fei, C.; Fei, W.; Mao, X.; Xia, D.; Yan, L., Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations, IEEE Transactions on Automatic Control, 65, 2899-2912 (2020) · Zbl 1533.93595
[8] Fu, X.; Zhu, Q.; Guo, Y., Stabilization of stochastic functional differential systems with delayed impulses, Applied Mathematics and Computation, 346, 776-789 (2019) · Zbl 1428.93098
[9] Gao, Y.; Sun, X.; Wen, C.; Wang, W., Estimation of sampling period for stochastic nonlinear sampled-data systems with emulated controllers, IEEE Transactions on Automatic Control, 62, 4713-4718 (2017) · Zbl 1390.93829
[10] Hashimoto, K.; Adachi, S.; Dimarogonas, D., Event-triggered intermittent sampling for nonlinear model predictive control, Automatica, 81, 148-155 (2017) · Zbl 1376.93066
[11] He, N.; Shi, D.; Chen, T., Self-triggered model predictive control for networked control systems based on first-order hold, International Journal of Robust and Nonlinear Control, 28, 1303-1318 (2018) · Zbl 1390.93297
[12] Hewing, L.; Wabersich, K.; Zeilinger, M., Recursively feasible stochastic model predictive control using indirect feedback, Automatica, 119, Article 109095 pp. (2020) · Zbl 1451.93096
[13] Karafyllis, I.; Krstic, M., Stabilization of nonlinear delay systems using approximate predictors and high-gain observers, Automatica, 49, 3623-3631 (2013) · Zbl 1315.93063
[14] Karafyllis, I.; Krstic, M., Sampled-data stabilization of nonlinear delay systems with a compact absorbing set, SIAM Journal on Control and Optimization, 54, 790-818 (2016) · Zbl 1334.93080
[15] Li, D.; Cheng, P.; Deng, F., Exponential stability and delayed impulsive stabilization of hybrid impulsive stochastic functional differential systems, Asian Journal of Control, 20, 1855-1868 (2018) · Zbl 1407.93415
[16] Li, S.; Guo, J.; Xiang, Z., Global stabilization of a class of switched nonlinear systems under sampled-data control, IEEE Transactions on Systems, Man and Cybernetics: Systems, 49, 1912-1919 (2019)
[17] Li, L.; Wang, X.; Xia, Y.; Yang, H., Predictive cloud control for multiagent systems with stochastic event-triggered schedule, ISA Transactions, 94, 70-79 (2019)
[18] Liu, X.; Zhang, K., Input-to-state stability of time-delay systems with delay-dependent impulses, IEEE Transactions on Automatic Control, 65, 1676-1682 (2020) · Zbl 1533.93649
[19] Luo, S.; Deng, F., On event-triggered control of nonlinear stochastic systems, IEEE Transactions on Automatic Control, 65, 369-375 (2020) · Zbl 1483.93611
[20] Mao, X., Stochastic differential equations and their applications (2007), Horwood Pub. · Zbl 1138.60005
[21] Mao, X., Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control, Automatica, 49, 3677-3681 (2013) · Zbl 1315.93083
[22] Mishra, P.; Chatterjee, D.; Quevedo, D., Stochastic predictive control under intermittent observations and unreliable actions, Automatica, 118, Article 109012 pp. (2020) · Zbl 1447.93376
[23] Peng, C.; Zhang, J.; Yan, H., Adaptive event-triggering \(H_\infty\) load frequency control for network-based power systems, IEEE Transactions on Industrial Electronics, 65, 1685-1694 (2018)
[24] Pepe, P., Stabilization in the sample-and-hold sense of nonlinear retarded systems, SIAM Journal on Control and Optimization, 52, 3053-3077 (2014) · Zbl 1332.34120
[25] Poveda, J.; Teel, A., A robust event-triggered approach for fast sampled-data extremization and learning, IEEE Transactions on Automatic Control, 62, 4949-4964 (2017) · Zbl 1390.93374
[26] Q., Z.; Wang, H., Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function, Automatica, 87, 166-175 (2018) · Zbl 1378.93141
[27] Quevedo, D.; Gupta, V.; Ma, W.; Yuksel, S., Stochastic stability of event-triggered anytime control, IEEE Transactions on Automatic Control, 59, 3373-3379 (2014) · Zbl 1360.93747
[28] Ren, Y.; Yin, W.; Sakthivel, R., Stabilization of stochastic differential equations driven by G-Brownian motion with feedback control based on discrete-time state observation, Automatica, 95, 146-151 (2018) · Zbl 1402.93256
[29] Sehr, M.; Bitmead, R., Stochastic output-feedback model predictive control, Automatica, 94, 315-323 (2018) · Zbl 1401.93230
[30] Sun, X.; Liu, K.; Wen, C.; Wang, W., Predictive control of nonlinear continuous networked control systems with large time-varying transmission delays and transmission protocols, Automatica, 64, 76-85 (2016) · Zbl 1329.93065
[31] Wakaiki, M.; Sano, H., Event-triggered control of infinite-dimensional systems, SIAM Journal on Control and Optimization, 58, 605-635 (2020) · Zbl 1435.93103
[32] Wang, Y.; Zheng, W.; Zhang, H., Dynamic event-based control of nonlinear stochastic systems, IEEE Transactions on Automatic Control, 62, 6544-6551 (2017) · Zbl 1390.93847
[33] Wei, B.; Xiao, F., Event-triggered control for synchronization of coupled harmonic oscillators, Systems & Control Letters, 97, 163-168 (2016) · Zbl 1350.93053
[34] Xie, W.; Zhu, Q., Self-triggered state-feedback control for stochastic nonlinear systems with markovian switching, IEEE Transactions on Systems, Man and Cybernetics: Systems, 50, 3200-3209 (2020)
[35] Yang, R.; Zheng, W., Output-based event-triggered predictive control for networked control systems, IEEE Transactions on Industrial Electronics, 67, 10631-10640 (2020)
[36] Yang, X.; Zhu, Q., Stabilization of stochastic retarded systems based on sampled-data feedback control, IEEE Transactions on Systems, Man and Cybernetics: Systems, 51, 5895-5904 (2021) · Zbl 1201.80058
[37] You, S.; Liu, W.; Lu, J.; Mao, X.; Qiu, Q., Stabilization of hybrid systems by feedback control based on discrete-time state observations, SIAM Journal on Control and Optimization, 53, 905-925 (2015) · Zbl 1337.60133
[38] Zhu, Q.; Zhang, Q., \(pTh\) moment exponential stabilisation of hybrid stochastic differential equations by feedback controls based on discrete-time state observations with a time delay, IET Control Theory & Applications, 11, 1992-2003 (2017)
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