A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Partial eigenvalue assignment problem of linear control systems using orthogonality relations
The partial eigenvalue assignment is the problem of reassigning a part of the open-loop spectrum of a linear system by a feedback control, leaving the rest of the spectrum invariant. In the paper, we propose a novel solution to the partial eigenvalue assignment problem of linear control system using orthogonality relations between eigenvectors of the state matrix . Our solution can be implemented with only a partial knowledge of the spectrum and the corresponding eigenvectors of the linear system. We show that, the number of eigenvalues and eigenvectors that need to remain unchanged will not be affected by the feedback. We prove this, the feedback vector must be of real form. A numerical example is given to illustrate the proposed method.
Partial eigenvalue assignment problem of linear control systems using orthogonality relations
The partial eigenvalue assignment is the problem of reassigning a part of the open-loop spectrum of a linear system by a feedback control, leaving the rest of the spectrum invariant. In the paper, we propose a novel solution to the partial eigenvalue assignment problem of linear control system using orthogonality relations between eigenvectors of the state matrix . Our solution can be implemented with only a partial knowledge of the spectrum and the corresponding eigenvectors of the linear system. We show that, the number of eigenvalues and eigenvectors that need to remain unchanged will not be affected by the feedback. We prove this, the feedback vector must be of real form. A numerical example is given to illustrate the proposed method.
Partial eigenvalue assignment problem of linear control systems using orthogonality relations
Mohamed A. Ramadan (author) / Ehab A. El - Sayed (author)
2006
Article (Journal)
Electronic Resource
Unknown
Metadata by DOAJ is licensed under CC BY-SA 1.0
Optimal design of viscoelastic dampers using eigenvalue assignment
| Online Contents | 2004
| British Library Online Contents | 2009
Collinearity and orthogonality of endmembers in linear spectral unmixing
| Online Contents | 2012
Approximate Roberts orthogonality
| British Library Online Contents | 2015