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Interval Estimation for Delayed Reaction-Diffusion Systems
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DOI：10.1109/TASE.2024.3360247.png)
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Abstract
En 中文
This paper considers the interval estimation for delayed linear reaction-diffusion systems. To obtain the estimates of the states for delayed reaction-diffusion systems, a novel interval estimation scheme is proposed based on a spatial finite difference method and decoupling technology. First, the delayed reaction-diffusion system is discretized by the finite difference method, resulting in approximated delay differential equations. The bounds of the discretization errors are presented via a rigorous analysis. Then, we involve decoupling techniques into interval observer design for approximated delay differential equations, and its estimates are obtained. Moreover, combining the observations with the discretization errors, we provide the interval estimation of the delayed reaction-diffusion systems. Furthermore, a controller is designed using the observations to achieve the H-infinity performance. Finally, the proposed methods are validated by two numerical simulations.
Keywords:
Observers
Estimation
Delay effects
Temperature measurement
Symmetric matrices
Finite difference methods
Delays
Interval estimation
reaction-diffusion systems
time delay
finite difference
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