Brief paper: Some new results for system decoupling and pole assignment problems

Authors:
Musheng Wei;Qian Wang;Xuehan Cheng
Affiliations:
College of Mathematics and Science, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China;Department of Mathematics, East China Normal University, Shanghai 200241, China;Department of Mathematics and Information, Ludong University, Yantai, Shandong 264025, China
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

In a related article, we derived a canonical decomposition of the right invertible system {C,A,B} and applied this canonical decomposition to study the Smith form of the matrix pencil P(s)=(A-sIBC0) and findout the finite zeros and infinite zeros of P(s), the range of the ranks of P(s) for s@?C, and the controllability of the right invertible system. In this paper, we will apply this canonical decomposition of the right invertible system {C,A,B} to deduce the triangular decouple upon to row permutation, provide some new results of the row-by-row decoupling, and associated pole assignment problems.