事件触发的一阶双曲型偏微分方程系统的边界控制-《集美大学学报（自然科学版）》

文章信息/Info

Title:: Boundary Control of First-Order Hyperbolic Partial Differential Equation Systems Based on Event-Triggered

Author(s):: SU Shunping; ZHU Rongkun; HUANG Zhenkun; (School of Science,Jimei University,Xiamen 361021,China)

Keywords:: hyperbolic partial differential equation; state observer; event-triggered; boundary control

摘要:: 研究了基于观测器的双曲型偏微分方程（partial differential equation，PDE）系统的事件触发边界控制问题。根据状态观测器的边界条件，设置一个指数递减的事件阈值条件，并对双曲型PDE系统进行边界控制。通过李雅普诺夫方法,建立闭环系统全局一致最终有界并指数收敛到有界区域的充分条件，同时给出了触发时刻之间的最小间隔。最后通过一个数值模拟来验证理论结果的可行性和有效性。

Abstract:: This paper concerns the problem of observer-based eventtriggered boundary control for hyperbolic partial differential equation(PDE) systems.Based on the state observer to the boundary conditions,an exponentiallydecreasing event threshold condition was configured to control the boundary of hyperbolic PDE systems.By means of Lyapunov method,a sufficient condition was given for the close-loop system to be globally uniformly ultimately bounded and exponentially converge to a bounded region.At the same time,the minimum time interval between two consecutive triggering moments was also given.Finally,a numerical simulation was used to illustrate the feasibility and effectiveness of the theoretical resuls.