STABILIZATION OF DISCRETE 2D LINEAR SYSTEMS IN FORNASINI-MARCHESINI MODEL

Authors

  • Luu Tra My Faculty of Primary Education, Hanoi National University of Education, Hanoi city, Vietnam

DOI:

https://doi.org/10.18173/2354-1059.2024-0018

Keywords:

2D systems, Fornasini-Marchesini model, state-feedback controller, stabilization

Abstract

This paper is concerned with the stabilization problem of discrete 2D linear systems described by the second Fornasini-Marchesini model. A necessary and sufficient condition involving the characteristic polynomial is first quoted by which the unforced system is structurally or exponentially stable. On the basis of the derived stability condition, a tractable condition is formulated in the form of linear matrix inequality for obtaining the controller gain of a desired stabilizing state-feedback controller. 

References

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Published

28-06-2024