一类四阶抛物型偏微分多智能体系统的协调控制  

Coordinated Control for a Class of Fourth Order Parabolic Partial Differential Multi-Agent Systems

作　　者：陈振杰 傅勤 郁鹏飞 张丹[1] CHEN Zhenjie;FU Qin;YU Pengfei;ZHANG Dan(School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009)

机构地区：[1]苏州科技大学数学科学学院,苏州215009

出　　处：《系统科学与数学》2021年第4期898-912,共15页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(11971343)资助课题。

摘　　要：研究一类偏微分多智能体系统的协调控制问题,该类系统中的每个智能体是由四阶抛物型偏微分方程构建而成.针对系统的特点,通过构建合适空间上的Lyapunov泛函,得到相应的分布式反馈控制律.当该反馈控制律作用于系统,时间趋于无穷时,系统状态变量的协调误差于L2(0,1)空间中收敛到零.最后,通过仿真算例验证了该方法的可行性.In this paper,the coordination control problem for a class of partial differential multi-agent systems is studied,and each agent in this kind of systems is constructed by the fourth order parabolic partial differential equation.According to the characteristics of the system,the distributed feedback control law is obtained by constructing a Lyapunov functional on an appropriate space.When the feedback control law is used to the system,the coordination error of the state variable converges to zero on L2(0,1) space.Finally,a simulation example is given to show the effectiveness of the proposed method.

关 键 词：偏微分多智能体系统 协调控制 四阶抛物型偏微分方程 LYAPUNOV泛函 

分 类 号：O231[理学—运筹学与控制论] O175.26[理学—数学]