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|Title:||Boundary control of linear stochastic reaction-diffusion systems|
|Citation:||International Journal of Robust and Nonlinear Control, 2019; 29(1):268-282|
|Kai-Ning Wu, Xiao-Zhen Liu, Peng Shi, Cheng-Chew Lim|
|Abstract:||This paper considers the boundary control problem for linear stochastic reaction‐diffusion systems with Neumann boundary conditions. First, when the full‐domain system states are accessible, a boundary control is designed, and a sufficient condition is established to ensure the mean‐square exponential stability of the resulting closed‐loop system. Next, when the full‐domain system states are not available, an observer‐based control is proposed such that the underlying closed‐loop system is stable. Furthermore, observer‐based controller is designed for the systems with an H∞ performance. Simulation examples are given to demonstrate the effectiveness and potential of the new design techniques.|
|Keywords:||Boundary control; H∞ control; linear stochastic reaction-diffusion systems; mean-square stability; observer|
|Rights:||© 2018 John Wiley & Sons, Ltd.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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