A new approach for computing the state feedback gains of multivariable systems

This note presents some new results in linear systems. First, the relationship between the polynomial matrix description and the state-space representation of multivariable systems is clarified. Then, we show that once such a relationship is determined, the coprime matrix fraction description can be...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1995-10, Vol.40 (10), p.1823-1826
Main Authors: Wang, Jinn-Der, Juang, Yau-Tarng
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control systems
Control theory. Systems
Controllability
Councils
Equations
Exact sciences and technology
Linear systems
MIMO
Polynomials
State feedback
System theory
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Summary:This note presents some new results in linear systems. First, the relationship between the polynomial matrix description and the state-space representation of multivariable systems is clarified. Then, we show that once such a relationship is determined, the coprime matrix fraction description can be easily computed. And we can further develop a closed-form formula to solve the pole-assignment problem of multivariable systems. Such formula can be thought of as an extension of the Ackermann's formula for MIMO systems. Thus this note potentially gives us a clearer insight into linear systems from the theoretical viewpoint.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.467663