| Abstract: | In this note, we study the generalized hold functions for use of digital control of continuous-time systems. First we define and solve the problem of simultaneous stabilization and minimization. It is shown that every plant with a strictly proper transfer function is simultaneously stabilizable and minimizable, provided that the sampling interval is small enough. We also consider robust designs of generalized hold functions. A condition is given for the stability of a system using generalized hold functions in the presence of uncertainty. |
