湖州师范学院学报2024,Vol.46Issue(2) :73-82.

事件触发机制下基于观测器的连续网络化Markov跳变系统的控制器设计

Controller Design of Observer-based Markov Jump System under the Event-triggered Mechanism

林凡钧 刘月 陈惠英 王燕锋 潘峰 陈林峰
湖州师范学院学报2024,Vol.46Issue(2) :73-82.

事件触发机制下基于观测器的连续网络化Markov跳变系统的控制器设计

Controller Design of Observer-based Markov Jump System under the Event-triggered Mechanism

林凡钧 1刘月 2陈惠英 1王燕锋 3潘峰 4陈林峰4
扫码查看

作者信息

  • 1. 湖州师范学院工学院,浙江湖州 313000
  • 2. 鞍钢集团本钢北营能源管控中心,辽宁本溪 117000
  • 3. 宿迁学院机电工程学院,江苏宿迁 223800
  • 4. 湖州久鼎电子有限公司,浙江湖州 313000
  • 折叠

摘要

针对具有从传感器到执行器和执行器到控制器两段时延不确定的连续网络化Markov跳变系统,研究基于事件触发机制的观测器与控制器的协同设计问题.首先,考虑到系统状态不可测的情况,在控制器端构造观测器,通过对事件触发机制下信号传输时序的分析,将闭环系统建模为等价的时滞系统;其次,利用李雅普诺夫泛函稳定性定理和线性矩阵不等式方法,得到闭环系统稳定的充分条件;最后,给出控制器和观测器增益矩阵的求解方法,实现控制器和观测器的协同设计,并用数值仿真验证该设计方法的有效性.

Abstract

For continuous networked Markov jump system with uncertain time-delay from sensor to actuator and from actuator to controller,the co-design problem of observer and controller based on event-triggered mechanism is studied.Firstly,considering the unmeasurable state of the system,an observer is constructed at the controller end,and the closed-loop system is modeled as an equivalent time-delay system by analyzing the signal transmission time sequence under the event-triggered mechanism.Secondly,the sufficient conditions for the closed-loop system stability are obtained by using Lyapunov functional stability theorem and linear matrix inequality method.Finally,a method to solve the gain matrix of the controller and observer is given,and the co-design of the controller and observer is realized.Numerical simulation verifies the effectiveness of the proposed design method.

关键词

时延/事件触发机制/Markov跳变系统/随机稳定性

Key words

time-delay/event-triggered mechanism/Markov jump system/stochastic stability

引用本文复制引用

基金项目

国家自然科学基金项目(61603133)

浙江省公益技术应用研究项目(LGG21E020001)

浙江省领军型创新创业团队项目(2020R01013)

出版年

2024
湖州师范学院学报
湖州师范学院

湖州师范学院学报

影响因子:0.301
ISSN:1009-1734
参考文献量22
段落导航相关论文