Robust eigensystem assignment for state estimators using second-order models

Juang, Jer‐Nan; Maghami, Peiman G.

doi:10.2514/3.20925

Cited by 37 publications

(18 citation statements)

References 5 publications

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“…Chu and Datta [9] proposed two new methods for pole assignment in second-order dynamic systems, which modified some existing results (for e.g. [7,8]). …”

Section: Introductionmentioning

confidence: 97%

“…Most of the results in second-order dynamic systems are focused on stabilization (for e.g. [1∼3]) and pole assignment [4∼9], Merovitch et al [4], Bhaya and Desoer [5], Joshi [6] considered pole assignment in second-order dynamic systems through the independent modal space control technique, while Juang and Maghmi [7,8] adopted the first-order approach. Chu and Datta [9] proposed two new methods for pole assignment in second-order dynamic systems, which modified some existing results (for e.g.…”

Section: Introductionmentioning

confidence: 99%

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Eigenstructure assignment in a class of second-order dynamic systems

Wang¹,

Lu²,

Duan

2006

J. Control Theory Appl.

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Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established based on two simple Smith form reductions. The approach utilizes directly the original system data and involves manipulations only on n−dimensional matrices. Furthermore, it reveals all the degrees of freedom which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.

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“…Chu and Datta [9] proposed two new methods for pole assignment in second-order dynamic systems, which modified some existing results (for e.g. [7,8]). …”

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Eigenstructure assignment in a class of second-order dynamic systems

Wang¹,

Lu²,

Duan

2006

J. Control Theory Appl.

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“…The coefficients corresponding to the basis of the null space are computed using an algorithm based on subspace intersections, after finding the orthogonal null space. Juang et al [45] proposed a method that designs an estimator and a controller for the second order system. Also, a controller design without estimator is reported by Juang et al [46] that can be applied to both state and output feedback control.…”

Section: Eigenstructure Assignment For Second Order Systemsmentioning

confidence: 99%

A Review on Eigenstructure Assignment Methods and Orthogonal Eigenstructure Control of Structural Vibrations

Rastgaar

Ahmadian

Southward

2009

Shock and Vibration

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Abstract. This paper provides a state-of-the-art review of eigenstructure assignment methods for vibration cancellation. Eigenstructure assignment techniques have been widely used during the past three decades for vibration suppression in structures, especially in large space structures. These methods work similar to mode localization in which global vibrations are managed such that they remain localized within the structure. Such localization would help reducing vibrations more effectively than other methods of vibration cancellation, by virtue of confining the vibrations close to the source of disturbance. The common objective of different methods of eigenstructure assignment is to provide controller design freedom beyond pole placement, and define appropriate shapes for the eigenvectors of the systems. These methods; however, offer a large and complex design space of options that can often overwhelm the control designer. Recent developments in orthogonal eigenstructure control offers a significant simplification of the design task while allowing some experience-based design freedom. The majority of the papers from the past three decades in structural vibration cancellation using eigenstructure assignment methods are reviewed, along with recent studies that introduce new developments in eigenstructure assignment techniques.

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“…We first state the Juang-Maghami method [1,2]. An eigenvalue l k and its corresponding eigenvector x k of the closed-loop system for equation (1), with feedback as shown in equation (2), satisfy…”

Section: Algorithm For State-feedback Pole Assignmentmentioning

confidence: 99%

“…The method is a modification of the SVD-based method proposed by Juang and Maghami [1,2] which is a second-order adaptation of the well-known robust eigenvalue assignment method by Kautsky et al[3] for first-order systems. Robustness is achieved by minimising some not-so-well-known condition numbers of the eigenvalues of the closed-loop secondorder pencil.…”

mentioning

confidence: 99%

Pole Assignment for Second-Order Systems

Chu

2002

Mechanical Systems and Signal Processing

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Robust eigensystem assignment for state estimators using second-order models

Cited by 37 publications

References 5 publications

Eigenstructure assignment in a class of second-order dynamic systems

Eigenstructure assignment in a class of second-order dynamic systems

A Review on Eigenstructure Assignment Methods and Orthogonal Eigenstructure Control of Structural Vibrations

Pole Assignment for Second-Order Systems

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