This paper deals with the design of ripple-free deadbeat controllers with p
erformance or performance robustness optimized over controllers within a pr
escribed settling time. The performance objective of interest is the minimi
zation of the maximum absolute tracking error. This leads to consider l(inf
inity) optimization problems. On the contrary, the optimization of the perf
ormance robustness leads to consider l(1) optimization problems. An example
is provided to illustrate the results.