Sm. Naik et Pr. Kumar, ROBUST INDIRECT ADAPTIVE-CONTROL OF TIME-VARYING PLANTS WITH UNMODELED DYNAMICS AND DISTURBANCES, SIAM journal on control and optimization, 32(6), 1994, pp. 1696-1725
It is shown that indirect pole-zero placement adaptive controllers are
robust for systems with time-varying parameters as well as unmodeled
dynamics and disturbances. A parameter estimator with projection is us
ed. No special signal normalization is employed to ensure robustness.
The nominal system parameters need only be bounded, and their variatio
ns need only be small in an average sense. This allows them to Vary sl
owly with time, as well as to take large jumps occasionally. The adapt
ive controllers can also simultaneously tolerate small unmodeled dynam
ics, as well as bounded disturbances, with no restriction on the magni
tude of the bound.