Dynamic Output-Feedback Control for Nonlinear Time-Delay Systems and Applications to Chemical Reactor Systems

The problem of dynamic output-feedback control for nonlinear time-delay systems is studied whose nonlinearities satisfy the homogeneous growth condition. Compared with the existing work, the growth rate here is an unknown constant. We introduce two adaptive gains to handle the unknown growth rate. A homogeneous output-feedback controller is explicitly developed by adding one power integrator method. It is proved that all the signals of the closed-loop system are bounded, meanwhile the system state globally converges to the origin. Finally, we used the proposed method to a two-stage chemical reactor as an application example.