Linear periodic control for ρ-stabilization and asymptotic tracking under unbounded output multiplicative perturbations

摘要

In this paper the problem of the asymptotic tracking and stabilization with infinite gain margin, is addressed for linear time-invariant discrete-time multivariable systems in the case when unknown different scalar gains act on the outputs. Necessary and sufficient conditions for the solvability of the problem by means of a linear periodic discrete-time error feedback dynamic controller are derived. A procedure is given for designing the proposed periodic controller (containing an internal model of the reference signals).