Note on the Order of l1 Optimal Compensators

摘要

Recently, Dahleh and Pearson showed that when an l sub 1 optimal compensator for a digital single-input, time-invariant plant exists, it is rational if the plant itself is. This note gives an example of a one-parameter family of first order plants where the order of the optimal compensator can be arbitrarily large. However, computational experience suggests that nearly optimal controllers of reasonable degree usually exist.