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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
来源:
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.
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页数:10
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