一类分数阶抛物型PDE-ODE级联系统的输出反馈镇定OA

The output feedback stabilization for a class of fractional-order parabolic PDE-ODE cascaded systems is investigated.Quite different from the related literature,the PDE and ODE subsystems of the system under investigation are both fractional-order,where the PDE subsystem is n-dimensional(no longer one-dimensional as in the existing works),and partial states of ODE subsystem and one boundary informa-tion of the PDE subsystem are measurable.This expands the applicability of control methods,while resul-ting in the difficulties of control design and stability analysis.For this,by the infinite-dimensional backstep-ping method,a state observer is first constructed to estimate the unmeasurable states.Then,an output feedback controller is designed by applying the infinite-dimensional backstepping method to ensure that the closed-loop system is Mittag-Leffler stable in a certain norm sense.Finally,the effectiveness of the pro-posed method is illustrated through numerical simulation.