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On Linear Solutions of the Output Feedback Pole Assignment Problem
IEEE Transactions on Automatic Control, 2013A new linear method for solving the output feedback pole assignment problem of linear systems is introduced, and new sufficient conditions are obtained.
Ulrich Konigorski
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A Schur Approach to Pole Assignment Problem
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 1981Abstract A new approach to the pole assignment in linear systems is proposed which is based on unitary or orthogonal transformation of the closed loop system matrix to its Schur canonical form. The method has a number of advantages over the other known methods. In particular it does not require the computation of the charac-teristic polynomial of the
M M Konstantinov +2 more
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Pole assignment in the regular row-by-row decoupling problem
Automatica, 2013By applying the canonical decomposition of the right invertible system {C,A,B} obtained in Wei, Cheng, and Wang (2010), in this paper we derive a general formula of all solutions to the regular row-by-row decoupling problem. Based on this formula we characterize all attainable transfer function matrices for the decoupling and pole assignment problem in
Musheng Wei
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Stabilization of Linear Control Systems and Pole Assignment Problem: A Survey
Vestnik St Petersburg University: Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A further result on the problem of pole assignment by output feedback
IEEE Transactions on Automatic Control, 1977In this paper a new result in the problem of pole assignment by gain output feedback is given. Roughly speaking, this result says that arbitrary pole assignment is possible for almost all systems if n \mu, m \geq \nu . Here n, r and m are the number of states, of inputs and of outputs, respectively, and ν and μ are the so-called controllability index
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The general problem of pole assignment‡
International Journal of Control, 1978Abstract Let G be a strictly proper, rational m × l matrix, with controllability indices λ1≥λ2≥…≥λ l and observability indices μ1≥μ2≥…≥μm. Also let ϕ1 ϕ2…, ϕ l be monic polynomials, where ϕi divides ϕi−1, i = 2, 3,…,l. Does there exist a proper rational feedback matrix K which makes the invariant polynomials of the resulting closed-loop system equal to
H. H. ROSENBROCK, G. E. HAYTON
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A numerically reliable approach to robust pole assignment for descriptor systems
Future Generation Computer Systems, 2003 We propose a general, numerically reliable computational approach to solve the pole and eigenstructure assignment problem for descriptor systems. In the multi-input case, the proposed approach addresses the intrinsic non-uniqueness of the pole assignment
A. Varga, Varga, Andras
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Robust and minimum norm pole assignment with periodic state feedback
IEEE Transactions on Automatic Control, 2000 A computational approach is proposed to solve the minimum norm or robust pole assignment problem for linear periodic discrete-time systems. The proposed approach uses a periodic Sylvester-equation-based parametrization of the periodic pole assignment ...
Varga, A.
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The general problem of pole assignment: A polynomial equation approach
IEEE Transactions on Automatic Control, 1985Necessary and sufficient conditions for modifying the invariant polynomials of a linear system by dynamical feedback are considered. A new necessary condition sharper than the one given by \textit{H. H. Rosenbrock} and \textit{G. E. Hayton} [Int. J. Control 27, 837-852 (1978; Zbl 0403.93017)] is established.
Zagalak, P., Kućera, V.
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A new method for the row-by-row decoupling problem with pole assignment
2016 European Control Conference (ECC), 2016We consider the classic problem of row-by-row input-output decoupling of a linear system by state feedback. We utilise methods from the recent work of two of the present authors to offer a new design method to obtain a feedback matrix that will solve the decoupling problem and also assign a desired set of closed-loop poles.
Emanuele Garone +2 more
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