Abstract
We deal with event-triggered H∞ controller design for discrete-time piecewise-affine systems subject to actuator saturation. By considering saturation information, a novel event-triggered strategy is proposed to conserve communication resources. A linear matrix inequality based condition is derived based on a piecewise Lyapunov function. This condition guarantees the stability of the closed-loop system with a certain H∞ performance index and reduces the number of transmitted signals. Numerical examples are given to show the efficiency of our method.
摘要
针对具有执行器饱和的离散时间分段仿射系统, 提出一种事件触发控制器设计方法. 考虑饱和信息, 提出一种新的事件触发策略, 该策略能节省通信资源. 基于分段李雅普诺夫函数, 推导出基于线性矩阵不等式的可行性条件. 该条件不仅能保证闭环系统在一定H∞性能指标下的稳定性, 还能减少信号传输数量. 最后, 利用仿真实例验证该方法的有效性.
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Yonghao JIANG and Wei WU designed the research. Yonghao JIANG performed the simulation and drafted the manuscript. Wei WU, Xuyang LOU, and Zhengxian JIANG helped organize the manuscript. Wei WU, Xuyang LOU, and Baotong CUI revised and finalized the paper.
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Yonghao JIANG, Wei WU, Xuyang LOU, Zhengxian JIANG, and Baotong CUI declare that they have no conflict of interest.
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Project supported by the National Natural Science Foundation of China (No. 61807016), the China Postdoctoral Science Foundation (No. 2018M642160), the Jiangsu Province Postdoctoral Fund of China (No. 1701095B), and the Natural Science Foundation of Jiangsu Province, China (No. BK20201340)
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Jiang, Y., Wu, W., Lou, X. et al. Event-based H∞ control for piecewise-affine systems subject to actuator saturation. Front Inform Technol Electron Eng 22, 720–731 (2021). https://doi.org/10.1631/FITEE.1900601
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DOI: https://doi.org/10.1631/FITEE.1900601
Key words
- Event-triggered control
- Piecewise-affine system
- Linear matrix inequality
- Actuator saturation
- H ∞ performance