Journal ArticleDOI
A connection between state-space and doubly coprime matrix-fraction descriptions of multivariable systems
Chun-Hsiung Fang,Fan-Ren Chang +1 more
TLDR
In this paper, explicit formulas for doubly coprime matrix fraction descriptions (MFDs) of the transfer matrix of a linear time-invariant state-space system are given in terms of a controllable and observable state space realization of the transferred matrix.About:
This article is published in Systems & Control Letters.The article was published on 1990-03-01. It has received 9 citations till now. The article focuses on the topics: Realization (systems) & Coprime integers.read more
Citations
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Journal ArticleDOI
Solving the generalized Sylvester matrix equation AV+BW=EVF via a Kronecker map
TL;DR: This note considers the solution to the generalized Sylvester matrix equation AV + BW = V F with F being an arbitrary matrix, where V and W are the matrices to be determined.
Journal ArticleDOI
On closed-form solutions to the generalized Sylvester-conjugate matrix equation
Ai-Guo Wu,Enze Zhang,Fuchun Liu +2 more
TL;DR: Several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given and can provide all the degrees of freedom which are represented by a free parameter matrix.
Journal ArticleDOI
A new approach for calculating doubly coprime matrix fraction descriptions
TL;DR: Using the concepts of state feedback in generalized state- space, explicit formulas for calculating doubly coprime matrix fraction descriptions (MFDs) of the transfer matrix of a regular state-space system and the polynomial generalized Bezout identity elements corresponding to thoseCoprime MFDs are presented.
Journal ArticleDOI
A new approach for computing the state feedback gains of multivariable systems
Jinn-Der Wang,Yau-Tarng Juang +1 more
TL;DR: The relationship between the polynomial matrix description and the state-space representation of multivariable systems is clarified and once such a relationship is determined, the coprime matrix fraction description can be easily computed.
Book ChapterDOI
Sensitivity Reduction and Robustness
TL;DR: In Chapters Two to Five the authors devote their attentions primarily to issues regarding parameter-sensitivity analysis, and incorporate in control synthesis algorithm any information regarding possible discrepancies in system “output”, in order to generate new controllers that can stand against the consequences of some possible uncertainties.
References
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Book
Linear System Theory and Design
TL;DR: Striking a balance between theory and applications, Linear System Theory and Design, 3/e, is ideal for use in advanced undergraduate/first-year graduate courses in linear systems and multivariable system design in electrical, mechanical, chemical, and aeronautical engineering departments.
Book
Linear multivariable systems
TL;DR: In this article, the authors propose a linear vector space representation of the state space and linear vector spaces of the linear operator representations of state vectors. But the state vector spaces do not have the same properties as the vector spaces used in this paper.
Journal ArticleDOI
Controllability, observability, and duality in singular systems
TL;DR: In this paper, the concepts of controllability and observability for systems of the form E\dot{x} = Ax + Bu, y = Cx, E singular are considered.
Journal ArticleDOI
A connection between state-space and doubly coprime fractional representations
TL;DR: In this article, explicit formulas for a doubly coprime fractional representation of the transfer function of a lumped LTI system are given in terms of a stabilizable and detectable state-space realization of the transferred function.
Related Papers (5)
Doubly coprime factorizations, reduced-order observers, and dynamic state estimate feedback
Andrew J. Telford,John B. Moore +1 more