双率采样系统的基于观测器的网络化<i>H</i><sub>∞</sub>控制

马伟伟; 贾新春; 张大伟

doi:10.16383/j.aas.2015.c150046

双率采样系统的基于观测器的网络化H_∞控制

doi: 10.16383/j.aas.2015.c150046

1.
山西大学数学科学学院太原 030006

基金项目:

国家自然科学基金(61374059, 61403240), 山西省回国留学人员科研资助项目(2012-001), 山西省国际科技合作项目(2013081040), 山西省优秀创新项目(20113007)资助

详细信息

作者简介:
马伟伟山西大学数学科学学院博士研究生.主要研究方向为网络化控制系统和多率采样系统. E-mail: xiucailing@live.cn

通讯作者:
贾新春山西大学数学科学学院教授. 主要研究方向为网络化控制系统, 模糊控制和智能系统. 本文通信作者. E-mail: xchjia@sxu.edu.cn

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出版历程
- 收稿日期: 2015-01-26
- 修回日期: 2015-05-28
- 刊出日期: 2015-10-20

Observer-based Networked H_∞ Control for Dualrate Sampling Systems

1.
School of Mathematical Sciences, Shanxi University, Taiyuan 030006

Funds:

Supported by National Natural Science Foundation of China (61374059, 61403240), Research Project Supported by Shanxi Scholarship Council of China (2012-001), International Science and Technology Cooperation Program of Shanxi Province (20130 81040), and Graduate Excellent Innovative Project of Shanxi Province (20113007)

摘要

摘要: 研究一类带有网络传输时滞和丢包的双率采样系统的网络化H∞控制问题. 假设对象状态变量被分成两个分向量, 同一分向量的状态变量由同一类传感器以相同周期采样, 且两类传感器的采样频率不同. 采样后的分向量分别通过非理想网络传输到控制器端. 考虑到双率采样、网络传输时滞和丢包现象, 引入同步观测器来估计对象状态并设计基于估计状态的控制器来镇定双率采样系统. 基于这个思路, 将双率采样的网络化控制系统建模为带有两个时变时滞的连续系统. 利用Lyapunov-Krasovskii泛函方法, 以矩阵不等式形式给出该系统的稳定性判据和控制器设计方法. 最后, 通过数值例子验证所提方法的有效性.
- 双率采样系统 /
- 基于观测器H∞控制 /
- 时变时滞系统 /
- 网络化控制系统
Abstract: The networked H∞ control for a class of dualrate sampling systems with network transmission delays and packet losses is investigated. State variables of the plant are assumed to be split into two sub-vectors. All state variables of the two sub-vectors are periodically sampled by two types of sensors, respectively, which each type of sensors has a different sampling rate. The two sampled sub-vectors are separately transmitted to the controller node over an imperfect network. Considering the dualrate sampling, network transmission delays and packet losses, a synchronized observer is introduced to estimate the state variables of the plant, and a controller based on the estimation is designed to stabilize the dualrate sampling system. Based on the above idea, a networked control system with dualrate sampling is modeled as a continuous-time system with two time-varying delays. By Lyapunov-Krasovskii functional method, some results of stability criterion and controller design for the system are obtained in terms of matrix inequalities (MIs). At last, some numerical examples are given to illustrate the effectiveness of the proposed method.
- Dualrate sampling systems /
- observer-based H∞ control /
- time-varying delay systems /
- networked control systems

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