Title :
Computation of minimal periodic realizations of transfer-function matrices
Author_Institution :
German Aerosp. Center, Inst. of Robotics & Mechatronics, Wessling, Germany
Abstract :
We present a numerical approach to compute a minimal periodic state-space realization of a transfer-function matrix corresponding to a lifted state-space representation. The proposed method determines a realization with time-varying state dimensions by using exclusively orthogonal transformations. The new method is numerically reliable, computationally efficient and thus well suited for robust software implementations.
Keywords :
discrete time systems; periodic control; realisation theory; state-space methods; time-varying systems; transfer function matrices; discrete-time systems; minimal periodic realizations; orthogonal transformations; periodic system; robust software implementations; state-space realization; time-varying state dimensions; transfer function matrices; Computational efficiency; Mechatronics; Observability; Robots; Robustness; Software tools; Standards development; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.821421
