## A Note on the Order of l1-Optimal CompensatorsD. Meyer and S. Boyd
Recently, Dahleh and Pearson showed that when an l1 optimal compensator for a digital single-input, single-output, time-invariant plant exists, it is rational if the plant itself is. In this note, we give an example of a one-parameter family of first order plants where the order of the optimal compensator can be arbitrarily large. However, computional experience suggests that nearly optimal controllers of reasonable degree usually exist. |