This paper investigates the issue of stabilization for discrete-time dynamical systems（DDS）by event-triggered impulsive control（ETIC）. Based on some relatively simple threshold constants, three levels of event con...This paper investigates the issue of stabilization for discrete-time dynamical systems（DDS）by event-triggered impulsive control（ETIC）. Based on some relatively simple threshold constants, three levels of event conditions are set and thus the ETIC scheme is designed. Three cases for ETIC with and without time-delays and data dropouts are studied respectively, and the criteria on exponential stability are derived for the controlled DDS. The stabilization in the form of exponential stability is achieved for DDS under the designed ETIC with or without time-delays. And in the case of the ETIC data dropouts, the conditions of exponential stabilization are derived for DDS and the maximal allowable dropout rates for ETIC are estimated. Finally, one example with numerical simulations is worked out for illustration.展开更多
Stability of a networked predictive control system subject to network-induced delay and data dropout is investigated in this study. By modeling the closed-loop system as a switched system with an upper-triangular stru...Stability of a networked predictive control system subject to network-induced delay and data dropout is investigated in this study. By modeling the closed-loop system as a switched system with an upper-triangular structure, a necessary and sufficient stability criterion is developed. From the criterion, it also can be seen that separation principle holds for networked predictive control systems. A numerical example is provided to confirm the validity and effectiveness of the obtained results.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.61673165the Hong Kong Research Grants Council of GRF Project under Grant No.17200415the Hunan Provincial Natural Science Foundation of China under Grants Nos.2015JJ2045 and 2017JJ2070
文摘This paper investigates the issue of stabilization for discrete-time dynamical systems（DDS）by event-triggered impulsive control（ETIC）. Based on some relatively simple threshold constants, three levels of event conditions are set and thus the ETIC scheme is designed. Three cases for ETIC with and without time-delays and data dropouts are studied respectively, and the criteria on exponential stability are derived for the controlled DDS. The stabilization in the form of exponential stability is achieved for DDS under the designed ETIC with or without time-delays. And in the case of the ETIC data dropouts, the conditions of exponential stabilization are derived for DDS and the maximal allowable dropout rates for ETIC are estimated. Finally, one example with numerical simulations is worked out for illustration.
基金supported by the National Natural Science Foundation of China(Grant Nos.6110409761321002+3 种基金61120106010&61522303)the Research Fund for the Doctoral Program of Higher Education of China(Grant No.20111101120027)the Program for New Century Excellent Talents in University(Grant No.NCET-13-0045)Beijing Higher Education Young Elite Teacher Project
文摘Stability of a networked predictive control system subject to network-induced delay and data dropout is investigated in this study. By modeling the closed-loop system as a switched system with an upper-triangular structure, a necessary and sufficient stability criterion is developed. From the criterion, it also can be seen that separation principle holds for networked predictive control systems. A numerical example is provided to confirm the validity and effectiveness of the obtained results.
