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Feedback Stabilizability of MIMO n-D Linear Systems

Authors
  • Lin, Zhiping1
  • 1 Defence Science Organisation, 20 Science Park Drive, Singapore, 118230, Republic of Singapore. E-mail , Singapore
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Kluwer Academic Publishers
Publication Date
Apr 01, 1998
Volume
9
Issue
2
Pages
149–172
Identifiers
DOI: 10.1023/A:1008230204251
Source
Springer Nature
Keywords
License
Yellow

Abstract

The problem of output feedback stabilizability of multi-input-multi-output (MIMO) multidimensional (n-D) linear systems is investigated using n-D polynomial matrix theory. A simple necessary and sufficient condition for output feedback stabilizability of a given MIMO n-D linear system is derived in terms of the generating polynomials associated with any matrix fraction descriptions of the system. When a given unstable plant is feedback stabilizable, constructive method is provided for obtaining a stabilizing compensator. Moreover, a strictly causal compensator can always be constructed for a causal (not necessarily strictly causal) plant. A non-trivial example is illustrated.

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