Adaptive control of plants of unknown relative degree

Consideration was given to the reference model-based output-feedback adaptive control of a linear plant under a priori uncertainty of the parameters and order of the differential equation describing the dynamic processes in the control plant, as well as of lack of information about the relative degree of the transfer function. Solution relied on a modified high-order algorithm [1]. The resulting control system was dissipative in the large and made the plant output to follow asymptotically the reference signal to within $\delta$. Results of modeling illustrating efficiency of the proposed control system were presented.