Boundary output feedback stabilization of state delayed reaction–diffusion PDEs

This paper addresses the problem of output feedback stabilization a class 1-D reaction–diffusion PDEs in presence state delay reaction term. The control input applies through Robin boundary condition. system is selected as either Dirichlet or Neumann trace. developed design procedure does not aim to compensate, but rather dominate delayed achieved by introducing an observer that only estimates finite number modes PDE while applying suitable pole shifting-based on truncated model captures unstable part plant. We show reported strategy always achieves, for arbitrarily given value delay, exponential plant H1-norm. A notable feature domination-based approach tuning controller and gains, well subsequent stability conditions, appears be independent delay.