Brief Polynomial approach to the control of SISO periodic systems subject to input constraint

Authors:
P. Colaneri;V. KučEra;S. Longhi
Affiliations:
Dip. di Elettronica e Informazione, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy;Czech Technical University, Faculty of Electrical Engineering Technická 2, 166 27 Prague, Czech Republic;Universití di Ancona, Dipartimento di Elettronica e Automatica via Brecce Bianche, 60131 Ancona, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2003

Citing 4
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Abstract

The problem of stabilization of single-input single-output discrete-time periodic systems subject to input constraint is discussed in this paper. Precisely, the initial state of the system is assumed to belong to a given polyhedron and the scalar input is constrained to be bounded. It is shown how this problem can be posed in terms of the polynomial description of the system. The solution can be found by using a linear programming optimization algorithm.