Boundary controller design and well-posedness analysis of semi-linear parabolic PDE systems
作者： Jun-Wei Wang , Huai-Ning Wu , Chang-Yin Sun
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摘要: This paper addresses the boundary control design problem of a class nonlinear distributed parameter systems described by scalar semi-linear parabolic partial differential equation (PDE). A simple controller is developed under domain-averaged measurement for PDE system. The suggested easily implemented since only actuator utilized. Based on Lyapunov direct method and contraction semigroup theory, it shown that closed-loop system well-posed exponentially stable. Finally, effectiveness proposed methods illustrated numerical example.
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