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Journal ArticleDOI

On eigenstructure assignment in linear multivariable systems

M. Fahmy, +1 more
- 01 Jun 1982 - 
- Vol. 27, Iss: 3, pp 690-693
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TLDR
In this article, the eigenvalue-assignment approach of Brogan was generalized and extended to the assignment of the entire closed-loop eigenstructure of linear multivariable systems.
Abstract
The eigenvalue-assignment approach of Brogan [1], [2] is generalized and extended to the assignment of the entire closed-loop eigenstructure of linear multivariable systems The set of assignable eigenvectors and generalized eigenvectors emerges naturally in the solution and is given, moreover, in an explicit parametric form Two numerical examples are worked out to demonstrate the application of the procedure

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Citations
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Robust Model-Based Fault Diagnosis for Dynamic Systems

TL;DR: Robust Model-Based Fault Diagnosis for Dynamic Systems targets both newcomers who want to get into this subject, and experts who are concerned with fundamental issues and are also looking for inspiration for future research.

Eigenstructure Assignment for Linear Systems

A. N. Andry
TL;DR: The use of feedback (full state, output, and constrained output) is considered as a means of shaping the transient response of linear time invariant systems.
Journal ArticleDOI

Eigenstructure Assignment for Linear Systems

TL;DR: In this paper, the use of feedback (full state, output, and constrained output) is considered as a means of shaping the transient response of linear time invariant systems and the underlying importance of the eigenstructure (eigenvalues/eigenvectors) is highlighted.
Journal ArticleDOI

Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems

TL;DR: A complete parametric approach for eigenstructure assignment in linear systems via state feedback is proposed, and two new algorithms are presented.
Journal ArticleDOI

Robust compliant motion for manipulators, part II: Design method

TL;DR: It is proved that a special class of impedances that represent the set of performance specifications are mathematically achievable asymptotically through state-feedback and interaction-force feedforward as actuator bandwidths become large, and a geometrical design method for achieving them in the presence of model uncertainties is offered.
References
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Journal ArticleDOI

On pole assignment in multi-input controllable linear systems

TL;DR: In this paper, it was shown that controllability of an open-loop system is equivalent to the possibility of assigning an arbitrary set of poles to the transfer matrix of the closed loop system, formed by means of suitable linear feedback of the state.
Proceedings ArticleDOI

On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment

TL;DR: In this article, a characterization of all closed loop eigenvector sets which can be obtained with a given set of distinct closed-loop eigenvalues using state feedback is given.
Journal ArticleDOI

Eigenvalue-generalized eigenvector assignment with state feedback

TL;DR: In this article, a characterization of generalized eigenvector chains can be obtained with a given set of nondistinct eigenvalues, and an algorithm for computing a feedback matrix which gives the selected closed-loop eigen values and generalized eigvector chains.
Proceedings ArticleDOI

Eigenspace selection procedures for closed loop response shaping with modal control

TL;DR: In this article, a closed loop eigenvector subspace is defined with basis vectors calculated using a singular value decomposition, which are optimally combined to minimize the vector element errors between desired and achievable eigenvectors.
Journal ArticleDOI

Closed-loop eigenstructure assignment by state feedback in multivariable linear systems

TL;DR: In this article, the authors present a method for the direct computation of the state-feedback matrix which assigns prescribed Jordan canonical forms, eigenvectors, and generalized eigenvector to the plant matrices of closed-loop systems.
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