Event-triggered control for boundary controlled time-fractional diffusion systems with spatially-varying coefficients

被引:1
作者
Ge, Fudong [1 ,2 ]
Chen, YangQuan [3 ]
机构
[1] Tianjin Univ, Sch Elect & Informat Engn, Tianjin Key Lab Proc Measurement & Control, Tianjin 300072, Peoples R China
[2] China Univ Geosci, Sch Comp Sci, Wuhan 430074, Peoples R China
[3] Univ Calif Merced, Dept Mech Engn, MESA Lab, Merced, CA 95343 USA
关键词
Event-triggered control; Boundary control; Time-fractional diffusion systems; Fractional-order partial differential equations; Spatially-varying coefficients;
D O I
10.1016/j.amc.2024.128830
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an event -triggered control scheme is proposed for boundary controlled timefractional diffusion systems with a semilinear function and the spatially -varying coefficients. Toward this aim, backstepping method is utilized. The use of backstepping allows us to explicitly express our proposed event -triggered boundary controllers. Specifically, we first discuss wellposedness of the solution to the problem under consideration. An event -triggered boundary controller is then designed using backstepping to Mittag-Leffler stabilize the system under consideration. After these, we show that our event -triggered controller can efficiently prevent the existence of so-called Zeno phenomenon. Finally, we give a numerical example to illustrate the effectiveness of designed event -triggered boundary control scheme.
引用
收藏
页数:13
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