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A constructive algorithm for the complete set of compensators for two-dimensional feedback system design

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2 Author(s)
Raman, V.R. ; University of Notre Dame, Notre Dame, IN, USA ; Ruey-Wen Liu

In the recent factorization approach to linear feedback system design, it has been found that in order to completely solve a generalized Ω-stabilization problem, a coprime condition in the ring of Ω-stable transfer functions must be solved. In this note, two-dimensional (2- D) systems are considered, and this Ω-stable coprime condition is solved for Ω-stable rings. A well-known 2-D zero-coprime condition is a special case of this condition. This is the first constructive method for obtaining the complete set of solutions, or compensators, for 2-D feedback system design. Some examples of systems treated as 2-D systems are: temporal-spatial, spatial-spatial, delay-differential, multipass, etc.

Published in:
Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 2 )

Date of Publication: Feb 1986

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