Event-Triggered Impulsive Stabilization of Systems With External Disturbances

• 成果类型: Article
• 署名作者: Jiang, Bangxin; Lu, Jianquan; Li, Xiaodi; Qiu, Jianlong
• 署名单位: Southeast University - China; Chengdu University; Shandong Normal University; Linyi University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3108123
• 发表日期: 2022
• 页码: 2116-2122
• 关键词: Linear systems; Servomotors; control systems; trajectory; Stability criteria; Eigenvalues and eigenfunctions; Upper bound; Event-triggered impulsive control (ETIC); external disturbances; linear time-invariant (LTI) systems; motor servo systems; stabilization

摘要

In this article, we investigate the robust stabilization of linear time-invariant (LTI) systems with external disturbances via event-triggered impulsive control (ETIC). Especially, in order to suppress the disturbances effectively, the impulsive instant sequence is generated through the sliding-variable-based event-triggering mechanism (ETM). Based on the proposed ETM, some sufficient conditions are derived to ensure the robust stabilization of the LTI systems and to exclude Zeno phenomenon. It is shown that the system states are ultimately bounded under the ETIC, and the ultimate bound can be arbitrarily small by selecting the appropriate parameter of ETM. More interestingly, it is proved that our obtained results can well deal with the case of unknown bounded external disturbances, which is often addressed by the adaptive control in the previous results. Then, the theoretical results are applied to the motor servo systems in the presence of external disturbances. Finally, two illustrative examples are presented to show the validity of the results.