A parametric poles assignment algorithm for high-order linear discrete periodic systems

Abstract

The periodic state feedback pole assignment problem of high-order periodic discrete systems is investigated, and the pole assignment problem for such systems is transformed into a class of problems for resolving periodic Sylvester matrix equations with constraints. Using the technique of cyclic lifting, such equations can be transformed into high-order time-invariant Sylvester matrix equations and solved using a parametric method. Lastly, a numerical example is provided to demonstrate the validity of the procedure.