Robust tracking control for a class of perturbed and uncertain reaction-diffusion equations

This paper is focused on the design of robust tracking control for a class of reaction-diffusion partial differential equations. Both uncertainties in the model parameters and bounded external perturbations are considered. Global practical stabilization is addressed through a regularized sliding-mode approach; in addition, a scheduled controller is proposed in order to achieve asymptotic stability if some conditions on the reference to be tracked are met. Numerical simulations support theoretical results.