Robust eigenvalue assignment for generalized systems

Syrmos, V.L.; Lewis, Frank L.

doi:10.1016/0005-1098(92)90064-m

Cited by 24 publications

(18 citation statements)

References 5 publications

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“…If this condition is not met, solve the optimization problem (22). If the sub-normal condition (23) (or its special one (25)) is met, check Constraint C * 5 (or its special ones C′5 or C″5). If this Constraint is met, calculate the gain matrix (5) and (6); 2.…”

Section: T T T T T a Bw CV C V T A B T B Z C Vmentioning

confidence: 99%

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Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Duan

Lamy

Liu

2004

Asian Journal of Control

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Based on a recently proposed parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, the robust eigenvalue assignment problem in descriptor linear systems via output feedback is solved. The problem aims to assign a set of finite closed-loop eigenvalues which have minimum sensitivities with respect to perturbations in the closed-loop coefficient matrices, while at the same time, guarantee the closed-loop regularity. The approach optimizes the design parameters existing in the closed-loop eigenvectors to achieve the minimum eigenvalue sensitivities, and use the extra degree of freedom existing in the solution of the gain matrix to further minimize the magnitude of the gain matrix and enhance the robustness of the closed-loop regularity. The approach allows the finite closed-loop eigenvalues to be optimized within desired regions, and is demonstrated to be simple and effective.

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Section: T T T T T a Bw CV C V T A B T B Z C Vmentioning

confidence: 99%

“…It follows from the above that, after solving the optimization problem (20), we need to check the sub-normal condition (23) (or its special one (25)). If this condition is not met, solve the optimization problem (22).…”

Section: T T T T T a Bw CV C V T A B T B Z C Vmentioning

confidence: 99%

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Duan

Lamy

Liu

2004

Asian Journal of Control

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“…In [8] strict impulse elimination is studied using time derivative feedback of the states and [9] investigated the output feedback control using a compensator. In fact most of the existing methods are extensions of the control schemes for standard representation of such systems [5][6][7][8][9][10]. In the singular system control context the control objectives are more complicated due to the stringent requirements such as algebraic loop phenomenon, impulsive behaviour [11], and regularity of the closed loop [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…As the singular systems were firstly introduced in the state space form representation [4], they were usually studied in time domain. In [5] the problem of finite mode pole placement is studied, while simultaneous impulse elimination and robust stabilization problem is considered in [6], robust Eigen-structure assignment of finite modes is studied in [7]. In [8] strict impulse elimination is studied using time derivative feedback of the states and [9] investigated the output feedback control using a compensator.…”

Section: Introductionmentioning

confidence: 99%

“…A singular model is an appropriate model for describing large scale interconnected systems, constrained robots and other differential algebraic systems with linear algebraic constraints [2].Also singular models can be utilized to model a system when the dependent variable is displacement and not the time [3]. Since the first time this representation is introduced [4], several efforts have been made to control singular systems [5][6][7][8][9]. As the singular systems were firstly introduced in the state space form representation [4], they were usually studied in time domain.…”

Section: Introductionmentioning

confidence: 99%

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Robust Internal Model Control for Impulse Elimination of Singular Systems

Pasandand

Taghirad

2012

CONTROL

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In this paper the problem of model based internal control of singular systems is investigated. The limitations of directly extending the control schemes for normal systems to singular ones are thoroughly developed, and a robust approach is proposed in order to establish a control scheme for singular systems. The proposed method presents a general framework for robust control design of singular systems in presence of modeling uncertainties. Two simulation examples are given to how the proposed method can be implemented, and to show the effectiveness of such controllers in closed loop performance.

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Computational design techniques for reduced-order observers in generalized state-space systems

Syrmos

1993

Circuits Systems and Signal Process

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Robust eigenvalue assignment for generalized systems

Cited by 24 publications

References 5 publications

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Robust Internal Model Control for Impulse Elimination of Singular Systems

Computational design techniques for reduced-order observers in generalized state-space systems

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