Proceedings Article10.1109/ACC.2008.4586882
Computational eigenstructure assignment in linear multivariable systems
Seung-Hi Lee,Chung Choo Chung,Sukhan Lee +2 more
- 11 Jun 2008
- pp 2591-2596
TL;DR: It is shown that the computation algorithm finds a solution for any admissible closed-loop Jordan form, and can be used for Jordan pair assignment as well as the reduced- and full-order design.
read more
Abstract: Computational eigenstructure assignment is presented for linear multivariable systems. A complete computational solution - successive mapping and correction - is developed to solve the matrix equations, that arise in eigenstructure assignment. It is shown that the computation algorithm finds a solution for any admissible closed-loop Jordan form. The algorithm can also be used for Jordan pair assignment as well as the reduced- and full-order design.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
References
Robust pole assignment in linear state feedback
TL;DR: Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback such that the sensitivity of the assigned poles to perturbations in the system and gain matrices is minimized.
1.1K
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.
235
A new solution to the generalized Sylvester matrix equation AV-EVF=BW
Bin Zhou,Guang-Ren Duan +1 more
TL;DR: This note deals with the problem of solving the generalized Sylvester matrix equation AV-EVF=BW, with F being an arbitrary matrix, and provides complete general parametric expressions for the matrices V and W satisfying this equation.
173
On eigenstructure assignment in linear multivariable systems
M. Fahmy,J. O'Reilly +1 more
TL;DR: 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.
165
On the solution of a Sylvester equation appearing in descriptor systems control theory
TL;DR: A sequence of coordinate transformations is proposed such that the considered problem can be solved through a Sylvester equation associated to a detectable reduced-order normal system and found either by eigenstructure assignment or by regional pole-placement in LMI-type regions of the complex plane.
72