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Optimality in the eigenvalue assignment problem

IEEE International Conference on Systems Engineering, 1989
The authors study the eigenvalue assignment problem, which involves finding a state feedback vector k such that the eigenvalues of A-bk/sup T/ are in the desired locations in the case where the system is not completely controllable, and the solution for the feedback gain vector k is not unique. The set of possible solutions for the feedback gain vector
null Perry, null Berger
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A simple solution to the optimal eigenvalue assignment problem

IEEE Transactions on Automatic Control, 1999
Summary: The problem of the optimal eigenvalue assignment for multi-input linear systems is considered. It is proven that for an \(n\)-order system with \(m\) independent inputs, the problem is split into the following two sequential stages. Initially, the \(n-m\) eigenvalues are assigned using an \(n-m\)-order system.
Dimitrios P. Iracleous   +1 more
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Partial eigenvalue assignment in linear time-invariant systems using state-derivative feedback and a left eigenvectors parametrization

J. Syst. Control. Eng., 2018
In this brief, a novel parametrized state-derivative feedback is given to achieve the well-known partial eigenvalue assignment in linear time-invariant systems.
J. M. Araújo
semanticscholar   +1 more source

Robust eigenvalue assignment for time-delay systems

53rd IEEE Conference on Decision and Control, 2014
We consider the problem of robust pole assignment for a linear time invariant plant with state feedback subject to time delay in the control input. For systems with a known time delay, we offer a parametric formula for the feedback gain matrix that will assign a desired set of closed-loop eigenvalues to the time-delay system.
Robert Schmid, Thang Nguyen-Tien
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Feedback gain optimization in decentralized eigenvalue assignment

Automatica, 1986
A new design procedure for minimizing the norm of a decentralized output feedback matrix which assigns a desired set of eigenvalues is developed. This is done by transforming a non-optimal feedback into an optimal one with respect to the norm of the feedback matrix by means of an iterative process.
Dale R. Sebok   +2 more
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A Method for Robust Partial Quadratic Eigenvalue Assignment With Repeated Eigenvalues

Journal of Dynamic Systems, Measurement, and Control, 2023
Abstract A new method is proposed for robust partial quadratic eigenvalue assignment problem (RPQEAP) with repeated prescribed eigenvalues. We first derive a result on the solution of partial quadratic eigenvalue assignment problem, which leads to the partial Schur form of the closed-loop system.
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Robust eigenvalue assignment by periodic feedback

Kybernetika, 1995
The paper presents a robust periodic eigenvalue assignment algorithm for linear, time-varying, discrete-time systems. Testing the algorithm with numerical results adds more weight to the paper. Moreover, the use of different robustness measures generally leads to periodic state feedbacks characterized by similar robustness properties.
Sauro Longhi, Romolo Zulli
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Robust Eigenvalue Assignment Techniques for the Sliding Mode

IFAC Proceedings Volumes, 1991
Abstract The assignment of the closed-loop eigenvalues of a Variable structure Control (VSC) System is discussed. In most VSC design approaches all of the closed-loop eigenvalues are directly assigned, however in many applications it may be desirable to simply assign eigenvalues which lie within a certain specified region of the complex plane.
C.A. Woodham, A.S.I. Zinober
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On The Computation Of Eigenvalue Assignment Problem

1988 American Control Conference, 1988
This note shows that in computing the feedback gain for eigenvalue assignment in multivariable systems, the reduction of the condition number of the closed loop eigenvector matrix (CLEM) is a necessary step to achieve some highly important and desirable technical and computational properties.
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Eigenvalue Assignment in Compensated Parameter Identifiers

1986 American Control Conference, 1986
The purpose of this paper is to utilize a class of compensated parameter identifiers for generating bias-free parameter estimates, in the presence of noise disturbance which accounts for the uncertainties in the system. A forward feedback is used to minimize the effect of noise.
A. A. Abdul-Wahab   +2 more
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