Kybernetika 61 no. 4, 537-553, 2025

Adaptive inverse optimal control for unstable reaction-diffusion PDE system

Xiushan Cai, Yue Li, Ping Wang, Yuhang Lin, Le Zhang and Leipo LiuDOI: 10.14736/kyb-2025-4-0537

Abstract:

We study adaptive inverse optimal boundary control for reaction-diffusion PDE system with unknown coefficient. First, an adaptive boundary control with parameter update rule is designed which no attempt is made to force parameter convergence. Next, it is proven through a non quadratic Lyapunov function that the closed-loop system is globally asymptotically stable. Further, it indicates that adaptive boundary control with parameter update law is optimal for a meaningful functional. Finally, the effectiveness of the proposed control design is demonstrated through an example.

Keywords:

inverse optimality, adaptive boundary control, reaction-diffusion PDE, parameter update law, unknown coefficient

Classification:

93Cxx, 93Dxx

paper.pdf

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