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Simultaneous finite- and infinite-zero assignments of linear systems

Authors
Journal
Automatica
0005-1098
Publisher
Elsevier
Publication Date
Volume
31
Issue
4
Identifiers
DOI: 10.1016/0005-1098(95)98496-s
Keywords
  • Invariant Zeros
  • Infinite Zeros
  • Zero Placement
  • Linear System Theory
Disciplines
  • Computer Science

Abstract

Abstract A simultaneous finite- and infinite-zero assignment problem via sensor selection for linear multivariable systems is proposed. By sensor selection we mean an appropriate choice of the output matrix C. Here, by utilizing the well-known Burnovsky canonical form for a linear system characterized by the matrix pair ( A, B), we obtain an explicit construction algorithm that generates a non-empty set C of output matrices such that for any member C of this set, the corresponding system characterized by the triple ( A, B, C) has the prescribed finite- and infinite-zero structures. Two examples are also given to illustrate our results.

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