Abstract
This paper investigates the problem of dynamic output-feedback control for a class of Lipschitz nonlinear systems. First, a continuous-time controller is constructed and sufficient conditions for stability of the nonlinear systems are presented. Then, a novel event-triggered mechanism is proposed for the Lipschitz nonlinear systems in which new event-triggered conditions are introduced. Consequently, a closed-loop hybrid system is obtained using the event-triggered control strategy. Sufficient conditions for stability of the closed-loop system are established in the framework of hybrid systems. In addition, an upper bound of a minimum inter-event interval is provided to avoid the Zeno phenomenon. Finally, numerical examples of a neural network system and a genetic regulatory network system are provided to verify the theoretical results and to show the superiority of the proposed method.
摘要
本文研究一类Lipschitz非线性系统的动态输出反馈控制问题。首先,针对该系统设计了一个连续时间控制器,并且给出了系统稳定的充分条件。其次,针对该Lipschitz非线性系统提出一种新的事件触发机制,在该触发机制中引入了新的事件触发条件,并构建了事件触发控制下的闭环混杂系统。在混杂系统框架下建立了闭环系统稳定的充分条件。此外,给出了最小事件间隔的上界,以避免Zeno现象。最后,通过在神经网络系统和基因调控网络系统中的数值仿真验证了理论结果及所提方法的优越性。
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Zhiqian LIU and Xuyang LOU designed the research. Zhiqian LIU processed the data. Zhiqian LIU and Xuyang LOU drafted the paper. Jiajia JIA helped organize and polish the paper. Zhiqian LIU and Xuyang LOU revised and finalized the paper.
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Zhiqian LIU, Xuyang LOU, and Jiajia JIA declare that they have no conflict of interest.
Project supported by the Jiangsu Provincial Natural Science Foundation of China (No. BK20201340), the 333 High-level Talents Training Project of Jiangsu Province, and the China Postdoctoral Science Foundation (No. 2018M642160)
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Liu, Z., Lou, X. & Jia, J. Event-triggered dynamic output-feedback control for a class of Lipschitz nonlinear systems. Front Inform Technol Electron Eng 23, 1684–1699 (2022). https://doi.org/10.1631/FITEE.2100552
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DOI: https://doi.org/10.1631/FITEE.2100552