On Pole Placement via Eigenstructure Assignment Approach

Bachelier, Olivier; Bosche, Jérôme; Mehdi, Driss

doi:10.1109/tac.2006.880809

Cited by 34 publications

(25 citation statements)

References 24 publications

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“…Hence, the controller design is basically settled by means of the assumption that pole assignment procedures can be used to place the eigenvalues of the feedback control system matrices at any points. Finally, pole assignment procedures developed for 1-d systems can be found for example in (Bachelier et al, 2006;Chen, 1999;Kailath, 1980;Syrmos et al, 1997).…”

Section: Definitionmentioning

confidence: 99%

Stability Analysis of 2-D Linear Discrete Feedback Control Systems with State Delays on the Basis of Lagrange Solutions

Izuta¹

2010

Discrete Event Simulations

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Section: Definitionmentioning

confidence: 99%

Stability Analysis of 2-D Linear Discrete Feedback Control Systems with State Delays on the Basis of Lagrange Solutions

Izuta¹

2010

Discrete Event Simulations

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“…Over the past decades, a considerable amount of attention has been given to the EAP where a lot of research can be found in systems and control literature in particular for continuous-time systems (see, e.g., [1][2][3] and the references therein). In the framework of linear discrete-time systems, a set of eigenvalue assignment algorithms have been developed (see, e.g., [2][3][4][5][6][7][8][9][10][11] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems

Mostafa

Aboutahoun

Omar

2017

Journal of Applied Mathematics

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The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution. In addition, a cut to the objective function is included, yielding an inequality constrained minimization problem, where a logarithmic barrier method is proposed for finding the local solution. The conjugate gradient method is further extended to tackle the eigenvalue assignment problem for the two cases of decentralized control systems and control systems with time delay. The performance of the methods is illustrated through various test examples.

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“…In practice, they mean that the considered model is controllable, observable and that sensors and actuators convey only meaningful information. Unlike in [24], there is no condition on the dimensions (i.e., n, m, p and q). In fact, they will be further detailed in the various tackled cases.…”

Section: Introductionmentioning

confidence: 99%