有数据包丢失奇异网络控制系统H_∞控制器设计

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Title:

H_∞ controller design for singular networked control systems with data packet dropout

作者:

邱占芝¹, 赵丽娜^1,2, 石磊¹

1. 大连交通大学 软件学院, 辽宁 大连 116028;
2. 大连科技学院 电气工程系, 辽宁 大连 116052

Author(s):

QIU Zhanzhi¹, ZHAO Lina^1,2, SHI Lei¹

1. Software Technology Institute, Dalian Jiaotong University, Dalian 116028, China;
2. Department of Electrical Engineering, Dalian Institute of Science and Technology, Dalian 116052, China

关键词:

奇异网络控制系统; H_∞控制器设计; Lyapunov方法; 线性矩阵不等式; 数据包丢失; 网络诱导时延; 脉冲行为; 扰动衰减度

Keywords:

singular networked control systems; H_∞ controller design; Lyapunov method; linear matrix inequality; data packet dropout; network-induced delay; impulse behavior; disturbance decay rate

分类号:

TP13

DOI:

10.issn.1673-4785.201312015

文献标志码:

A

摘要:

针对广泛存在于许多领域和行业的奇异被控系统模型,考虑网络控制环境下存在的网络诱导时延、数据包丢失、外部扰动、奇异系统结构不稳定性和脉冲行为等复杂因素,利用Lyapunov和线性矩阵不等式方法,研究了状态反馈控制方式下奇异网络控制系统H_∞控制器设计和优化问题,提出了奇异网络控制系统状态反馈H_∞控制器存在的条件、H_∞控制器设计及其优化方法以及相应的扰动衰减度求取方法。系统仿真实例表明了提出的设计方法有效且可行。

Abstract:

In this paper, the problem of H_∞controller design for singular networked control systems with delay and data packet dropout is investigated. The design and optimization of the H_∞ controller are investigated in the status feedback control manner by utilizing Lyapunov and linear matrix inequality methods. TheH_∞ controller design takes into consideration factors such as networ-induced delay, data packet dropout, external disturbance, structural instability of singular systems, and impulse behavior in the network control mode.In addition, the condition for the existence of the status feedback H_∞ controller in the singular networked control system, the design and optimization method of H_∞ controller and the corresponding disturbance decay rate solutions are presented. Simulation examples showed that the presented design method is effective and feasible.