Sampled-data and event-triggered boundary control of a class of reaction-diffusion PDEs with collocated sensing and actuation

被引:27
作者
Rathnayake, Bhathiya [1 ]
Diagne, Mamadou [2 ]
Karafyllis, Iasson [3 ]
机构
[1] Rensselaer Polytech Inst, Dept Elect Comp & Syst Engn, Troy, NY 12180 USA
[2] Rensselaer Polytech Inst, Dept Mech Aerosp & Nucl Engn, Troy, NY USA
[3] Natl Tech Univ Athens, Dept Math, Athens, Greece
关键词
Sampled-data control; Event-triggered control; Backstepping design; Output feedback; Reaction-diffusion systems; FEEDBACK-CONTROL; DATA STABILIZATION; SYSTEMS; STABILITY;
D O I
10.1016/j.automatica.2021.110026
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper provides observer-based sampled-data and event-triggered boundary control strategies for a class of reaction-diffusion PDEs with collocated sensing and Robin actuation. Infinite-dimensional backstepping design is used as the underlying control approach. It is shown that the continuous-time output feedback boundary control applied in a sample-and-hold fashion ensures global closed-loop exponential stability, provided that the sampling period is sufficiently small. Further, robustness to perturbations of the sampling schedule is guaranteed. For the event-triggered implementation of the continuous-time controller, a dynamic triggering condition is utilized. The triggering condition determines the time instants at which the control input needs to be updated. Under the observer-based event-triggered boundary control, it is shown that there is a minimal dwell-time between two triggering instants independent of initial conditions. Further, the global exponential convergence of the closed-loop system to the equilibrium point is established. A simulation example is provided to validate the theoretical results. Published by Elsevier Ltd.
引用
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页数:10
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