Experiments in eigenstructure assignment for active mode localization in a flexible beam

Clark, William W.; Shelley, Franz J.

doi:10.1109/acc.1997.610907

Cited by 9 publications

(11 citation statements)

References 9 publications

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“…This provided the control of multi-input multi-output systems (MIMO) such that both the poles and the eigenvectors are placed and derived (Moore, 1976). The speed of the response of a system is determined by the assigned closed-loop eigenvalues, while the shape of the response is defined by assigned closed-loop eigenvectors (Clark and Shelley, 1997). A parametric output feedback scheme proposed by Srinathkumar and the sufficient conditions to assign a set of arbitrary distinct eigenvalues were determined (Srinathkumar, 1978).…”

Section: Introductionmentioning

confidence: 99%

Orthogonal Eigenstructure Control with Non-collocated Actuators and Sensors

Rastgaar

Ahmadian

Southward

2009

Journal of Vibration and Control

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An orthogonal eigenstructure control method with collocated actuators and sensors was recently developed by the authors. In this paper the application of the method is extended beyond the collocation of the actuators and sensors, including the cases that different numbers of actuators and sensors are used. Orthogonal eigenstructure control is an output feedback control for multi-input multi-output linear systems. This method uses singular value decomposition to find the matrix that spans the null space of the closedloop eigenvectors. This method regenerates the open-loop system while simultaneously determines a set of eigenvectors that are orthogonal to the open-loop eigenvectors. This method does not attempt to place the eigenvalues of the closed-loop system, nor does it require defining a set of closed-loop eigenvectors. The closed-loop eigenvectors will be within the achievable eigenvector set and the closed-loop poles will be consistent with them. As a result, no extra constraints have been imposed to the system trying to place the closed-loop poles at certain locations such that excessive force in actuators is prevented. Since there are usually some limitations on the location of the actuators and sensors, collocation of actuators and sensors is not always possible. Also, some systems might not have equal number of actuators and sensors. The proposed method in this paper is based on adding virtual actuators and sensors to the closed-loop system in order to extend the application of the orthogonal eigenstructure control to the systems with non-collocated actuators and sensors as well as the systems with different numbers of actuators and sensors.

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Section: Introductionmentioning

confidence: 99%

Orthogonal Eigenstructure Control with Non-collocated Actuators and Sensors

Rastgaar

Ahmadian

Southward

2009

Journal of Vibration and Control

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“…Eigenstructure assignment has been used as a design technique for controlling different systems such as vibrating systems [7], power systems [8] and aircraft [9]; it has also been considered for active suspension design of road vehicles [10], however it has not been used for controlling handling properties of road vehicles to the best of the authors ¶ knowledge. In this paper, the feasibility of eigenstructure assignment for the control of lateral performance of a 3-unit LCV, namely a truck-dollysemitrailer, is investigated.…”

Section: Introductionmentioning

confidence: 99%

Improving lateral performance of longer combination vehicles — An approach based on eigenstructure assignment

Kharrazi

Gordon

Lidberg

2012

2012 IEEE Intelligent Vehicles Symposium

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Abstract²Feasibility of eigenstructure assignment for controlling lateral performance of longer combination vehicles is investigated. As a sample case, a controller is designed for a truck-dolly-semitrailer combination based on partial eigenstructure assignment and frequency response analysis. The results of simulations with a nonlinear vehicle model show significant improvement in lateral performance of the vehicle with the designed controller.

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“…They showed analytically that absolute displacements in isolated areas can be reduced by eigenvector shaping, regardless of the type of the disturbance. The experimental result has been shown in [24]. The test rig is a simply-supported beam subjected to an impulse disturbance and Eigenstructure Realization Algorithm (ERA) was used to model the system.…”

Section: Normal Mode Localization and Vibration Cancellationmentioning

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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Experiments in eigenstructure assignment for active mode localization in a flexible beam

Cited by 9 publications

References 9 publications

Orthogonal Eigenstructure Control with Non-collocated Actuators and Sensors

Orthogonal Eigenstructure Control with Non-collocated Actuators and Sensors

Improving lateral performance of longer combination vehicles — An approach based on eigenstructure assignment

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

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Experiments in eigenstructure assignment for active mode localization in a flexible beam

Cited by 9 publications

References 9 publications

Orthogonal Eigenstructure Control with Non-collocated Actuators and Sensors

Orthogonal Eigenstructure Control with Non-collocated Actuators and Sensors

Improving lateral performance of longer combination vehicles &#x2014; An approach based on eigenstructure assignment

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

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Product

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Improving lateral performance of longer combination vehicles — An approach based on eigenstructure assignment