分层网络控制系统的分布式H_∞控制  

Distributed H_∞ control for hierarchical networked control system

作　　者：谢蓉华[1] 樊卫华[1] 陈庆伟[1] 

机构地区：[1]南京理工大学自动化学院,南京210094

出　　处：《北京航空航天大学学报》2017年第12期2392-2399,共8页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金(61673219);江苏省高校优秀中青年教师和校长境外研修项目;江苏省前瞻性联合研究项目(BY2016004-07);江苏省"六大人才高峰"项目(XNYQC-CXTD-001);天津市科技重大专项与工程项目(15ZXZNGX00250)~~

摘　　要：针对在现代工业、航空航天等领域具有广泛应用的分层网络控制系统无法采用集中控制方式的问题,研究了分层网络控制系统的分布式H_∞控制。首先,考虑网络诱导时延、数据包丢失和全局信息不可全部获取的情形,提出了分层网络控制系统的分布式控制策略,并将网络控制系统建模为具有分布式时变时延的离散切换系统。其次,基于LyapunovKrasovskii函数法,给出了系统稳定且满足给定H_∞性能要求的充分条件,该条件依赖于时延上界信息并具有较弱的保守性。利用锥补线性化方法,将控制器设计转化为具有线性矩阵不等式形式的优化问题,给出了控制器设计的迭代算法。最后,利用仿真算例,验证了所提方法的有效性。Considering the centralized control mode cannot be used in hierarchical networked control system which is widely applied in the fields of modern industry,aerospace,etc.,the distributed H∞control for the hierarchical networked control system is studied. First,considering the network induced delay,data packet loss and partial information available,a distributed control law for hierarchical networked control system is proposed. And the closed-loop networked control system is modeled as a switched discrete system with distributed time varying delay. Second,based on Lyapunov-Krasovskii functional method,a sufficient condition for system stability and to satisfy the requirement of given H∞performance index is deduced,which is less conservative and depends on the upper bound of the delay. Using cone complement linearization method,the controller design is converted to an optimal problem with linear matrix inequalities,and an iterative approach for controller design is given. Finally,a simulation example is used to validate the effectiveness of the proposed method.

关 键 词：网络控制系统 分布式控制 LYAPUNOV-KRASOVSKII函数 网络诱导时延 数据包丢失 

分 类 号：V249.122[航空宇航科学与技术—飞行器设计] TP273.5[自动化与计算机技术—检测技术与自动化装置]