Wd. Zhang et al., ROBUST DIGITAL CONTROLLER-DESIGN FOR PROCESSES WITH DEAD TIMES - NEW RESULTS, IEE proceedings. Control theory and applications, 145(2), 1998, pp. 159-164
The Dahlin controller is studied in the complex-frequency domain in te
rms of performance and robust stability. Several well known digital co
ntrol algorithms are compared with the Dahlin controller and found to
be equivalent to it. The possibility of extending the Dahlin controlle
r to the control of plants with zeros outside the unit circle and unst
able plants is discussed. The essential cause of ringing is investigat
ed and some ambiguous formulation is clarified. A new procedure is dev
eloped for digital controller design. Compared with conventional metho
ds, it provides a more effective method of eliminating ringing. Finall
y, numerical examples are given to illustrate the new approach.