Journal ArticleDOI
Generic parametric controller design using output feedback eigenstructure assignment
Guo-Ping Liu,Ron J. Patton +1 more
- Vol. 212, Iss: 2, pp 71-78
TLDR
A new parametric expression of closed-loop eigenvectors and generalized eigenavectors is developed for both real eigenvalue and complex-conjugate eigen value cases, including the case where the closed- loop eigenvalues are multiple and/or the same as the open-loop ones.Abstract:
This paper is concerned with generic parametric controller design via output-feedback eigenstructure assignment for linear multivariable systems. A new parametric expression of closed-loop eigenvectors and generalized eigenvectors is developed for both real eigenvalue and complex-conjugate eigenvalue cases. It also considers the case where the closed-loop eigenvalues are multiple and/or the same as the open-loop ones so that the system to be designed can be uncontrollable and/or unobservable. The controller designed via output-feedback eigenstructure assignment is expressed by new proposed parameter vectors. The freedom provided by output-feedback eigenstructure assignment is used to optimize a performance function which is used to measure the sensitivity of the closed-loop system matrix.read more
Citations
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Journal ArticleDOI
On Stability of Dynamical Controllers Using Pole Assignment
Guo-Ping Liu,S. Daley,G. R. Duan +2 more
TL;DR: The design formulations of stable dynamical controllers are presented using polynomial, output- feedback, state-feedback and pole assignment techniques to ensure that the closedloop poles of the systems are assigned in the desired set and also the dynamicals controllers are stable.
Proceedings ArticleDOI
Stable dynamical controller design via pole assignment
Guo-Ping Liu,S. Daley,G. R. Duan +2 more
TL;DR: The design formulations of stable dynamical controllers are presented using output-feedback and polynomial pole assignment techniques to ensure that the closed-loop poles of the systems are assigned in the desired set and also the dynamicals controllers are stable.
References
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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
On pole assignment in linear multivariable systems using output feedback
Edward J. Davison,Shih-Ho Wang +1 more
TL;DR: In this paper, the general problem of pole assignment in a linear, time-invariant multivariable system via output feedback is considered, and it is shown that given a controllable-observable system (C,A,B ) in which A \in Rn \times n, rank B = m, rank C = r, then for almost all (B,C ) pairs, poles can be assigned arbitrarily close to \min (n,m + r-1) specified symmetric values by using output feedback.
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
Eigenvalue/eigenvector assignment using output feedback
TL;DR: In this article, the problem of pole-assignment in a linear time-invariant multivariable system using output feedback is considered, and sufficient conditions are derived to assign an almost arbitrary set of min (n,m+r- 1) distinct eigenvalues, where n, m, and r are the number of states, inputs, and outputs, respectively.
Journal ArticleDOI
Eigenvalue-generalized eigenvector assignment by output feedback
Bong-Hwan Kwon,Myung-Joong Youn +1 more
TL;DR: In this article, the closed-loop eigenstructure assignment via output feedback in linear multivariable systems is studied and necessary and sufficient conditions for this problem are presented, along with some known results on the entire EIG assignment.
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