Periodic Signal Tracking for Lightly Damped Systems


Van der Maas, R., Singh, T., and Steinbuch, M.


ASME Journal of Dynamic Systems, Measurement and Control, 139(6).


The focus of this paper is on the development of time-delay filters to accomplish tracking of periodic signals with zero phase errors. The class of problems addressed include systems whose dynamics are characterized by lightly damped modes. A general approach for the zero-phase tracking of periodic inputs is presented followed by an illustration of single harmonic tracking of underdamped second-order systems with relative degree two. A general formulation of the approach is then posed for higher-order systems and systems including zeros. The paper concludes with the illustration of enforcing constraints to desensitize the time-delay filter to uncertainties in the location of the poles of the system and forcing frequencies. A numerical practical design case based on a medical X-ray system is used to illustrate the potential of the proposed technique.

   Author = {R. Van der Maas, T. Singh and M. Steinbuch},
   Journal = {ASME Journal for Dynamic Systems, Measurement and Control},
   Month = {June},
   Title = {Periodic Signal Tracking for Lightly Damped Systems},
   Volume = {139},
   Number = {6},
   Year = {2017}