Abstract
This paper deals with the design problem of adaptive stabilizing controllers for MIMO plants with unknown orders. A design scheme for an output feedback based adaptive control system, which has hierarchical structures derived from backstepping strategies, is proposed for MIMO plants with unknown orders but with known relative MacMillan degrees which correspond to relative degrees for SISO case. It is also shown that all the signals in the resulting control system are bounded, and the output of the plant converges to zero asymptotically.