一类带有随机丢包和执行器饱和的网络化非线性系统的鲁棒H_(∞)控制  

Robust H_(∞) control for a class of networked nonlinear systems with random packet losses and actuator saturation

作　　者：姜若瑾 孙炜伟[1,2] JIANG Ruojin;SUN Weiwei(Institute of Automation,Qufu Normal University,273165,Qufu;School of Engineering,Qufu Normal University,276826,Rizhao,Shandong,PRC)

机构地区：[1]曲阜师范大学自动化研究所,曲阜市273165 [2]曲阜师范大学工学院,山东省日照市276826

出　　处：《曲阜师范大学学报（自然科学版）》2022年第2期1-10,F0002,共11页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(62073189)。

摘　　要：该文研究了在随机丢包和执行器饱和的影响下网络化非线性系统的鲁棒H;控制问题.丢包遵循伯努利随机二项分布,并且发生在两个通信信道中.通过引入一组辅助矩阵,将执行器饱和限制在凸包中.在以上因素均存在的情况下,设计了一个H_(∞)反馈控制器,使闭环系统在均方条件下指数稳定,并达到规定的H_(∞)性能.最后,通过仿真例子验证了所提出方法的有效性.In this paper, the robust H_(∞) control problem of networked nonlinear systems under the influence of random packet losses and actuator saturation is studied. The packet losses obey the Bernoulli random binary distribution and occur in two communication channels. The actuator saturations are confined in a convex hull by introducing a group of auxiliary matrices. In the presence of the above factors, a H_(∞) feedback controller is designed to stabilize the closed-loop system exponentially in the mean square and achieve the H_(∞) prescribed performance. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：H_(∞)控制 网络化非线性系统 随机丢包 执行器饱和 

分 类 号：O231[理学—运筹学与控制论]