Event-based <italic style="font-style: italic">H</italic><sub>∞</sub> control for piecewise-affine systems subject to actuator saturation

Yonghao JIANG; Wei WU; Xuyang LOU; Zhengxian JIANG; Baotong CUI

doi:10.1631/FITEE.1900601

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Event-based H_∞ control for piecewise-affine systems subject to actuator saturation

Regular Papers | Updated：2022-05-19

- Event-based H_∞ control for piecewise-affine systems subject to actuator saturation
- 具有执行器饱和的分段仿射系统基于事件的H_∞控制
- Frontiers of Information Technology & Electronic Engineering Vol. 22, Issue 5, Pages: 720-731(2021)
- Affiliations：
  
  MOE Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi 214122, China
- Author bio：
  
  [ "Yonghao JIANG, E-mail: y.h.jiang@foxmail.com" ]
  Wei WU, E-mail: weiwu@jiangnan.edu.cn
  Xuyang LOU, E-mail: Louxy@jiangnan.edu.cn
- Funds：
- DOI：10.1631/FITEE.1900601
  CLC： TP273
- Received：06 November 2019，
  
  Revised：2020-11-16，
  
  Published Online：08 February 2021，
  
  Published：2021-05
- Accepted：
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Yonghao JIANG, Wei WU, Xuyang LOU, et al. Event-based H_∞ control for piecewise-affine systems subject to actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(5): 720-731.
DOI：

Yonghao JIANG, Wei WU, Xuyang LOU, et al. Event-based H_∞ control for piecewise-affine systems subject to actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(5): 720-731. DOI： 10.1631/FITEE.1900601.

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

∞

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。

Abstract

We deal with event-triggered

∞

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

∞

performance index and reduces the number of transmitted signals. Numerical examples are given to show the efficiency of our method.

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⁰

Event-based H∞ control for piecewise-affine systems subject to actuator saturation

DOI：10.1631/FITEE.1900601

摘要

Abstract

关键词

Keywords

references

Event-based H_∞ control for piecewise-affine systems subject to actuator saturation