BOUNDARY CONTROL LAWS FOR PARABOLIC PDES WITH VOLTERRA NONLINEARITIES—PART II: EXAMPLES

This is the second part of a three-part paper. In the first part, we introduce a class of stabilizing boundary controllers for nonlinear 1-D parabolic PDEs with nonlinearities described by Volterra series. In this part, we illustrate our design method and the class of tractable nonlinear plants with several examples. One of the examples is analytical, while in the remaining two examples the controller is numerically approximated. For all the examples we include simulations, showing kernel computations, plant blow up in open loop, and stabilization for large initial conditions in closed loop.