Adaptive Boundary Control for a Class of PDE Systems Using Backstepping Scheme

In this paper a feedback control methodology is presented to stabilize a class of Linear PDE systems using back stepping scheme for all kinds of boundary conditions. Both non-adaptive and adaptive case of PDEs with parametric uncertainties are considered. The feature of the presented control structure is that the control signal is applied to the boundary only. The performance of the proposed control algorithm is evaluated by means of simulations performed on a mass transfer process.