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A stein matrix equation approach for computing coprime matrix fraction description

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3 Author(s)
Zhou, B. ; Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin ; Duan, G.-R. ; Li, Z.-Y.

This paper is concerned with the coprime matrix fraction description of linear systems. Analytical solutions are obtained by solving a Stein matrix equation with nilpotent coefficient matrix. An explicit solution consisting of finite summations to the Stein matrix equation is also provided. The proposed approach can be easily transformed into a numerically reliable algorithm if the Stein matrix equation is solved in a numerically stable way. The parametric eigenstructure assignment problem is reconsidered to illustrate the application and efficiency of the proposed approach.

Published in:

Control Theory & Applications, IET  (Volume:3 ,  Issue: 6 )

Date of Publication:

June 2009

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