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Structured squaring down and zero assignment

Leventides, J. & Karcanias, N. (2008). Structured squaring down and zero assignment. International Journal of Control, 81(2), pp. 294-306. doi: 10.1080/00207170701413843


The problem of zero assignment by squaring down is considered for a system of p-inputs, n-outputs and n-states (m > p), where not all outputs are free variables for design. We consider the case where a k-subset of outputs is preserved in the new output set, and the rest are recombined to produce a total new set of p-outputs. New invariants for the problem are introduced which include a new class of fixed zeros and the methodology of the global linearization, developed originally for the output feedback pole assignment problem, is applied to this restricted form of the squaring down problem. It is shown that the problem can be solved generically if (p − k)(m − p) > δ*, where k (k < p) is the number of fixed outputs and δ* is a system and compensation scheme invariant, which is defined as the restricted Forney degree.

Publication Type: Article
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on March 08 2008, available online:
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: School of Science & Technology
Text - Accepted Version
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