Control design for smart flexible structures

In this paper, we investigate the control of 2D flexible structures by vibration confinement and the regulation of their energy flow along prespecified spatial paths. A discretized-model-based feedback strategy, aiming at confining and suppressing simultaneously the vibration, is proposed. It is assumed that the structure consists of parts that are sensitive to vibrations. The control design introduces a new pseudo-modal matrix derived from the computed eigenvectors of the discretized model. Simulations are presented to show the efficacy of the proposed control law. A parametric study is carried out to examine the effects of the different control parameters on the simultaneous confinement and suppression of vibrations. In addition, we conducted a set of simulations to investigate the flow control of vibrational energy during the confinement-suppression process. We found that the energy flow can be regulated via a set of control parameters for different confinement configurations.

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Robustness and performance tradeoffs in control design for flexible structures

10.1109/cdc.1990.203334 ◽

1990 ◽

Cited By ~ 26

Author(s):

G.J. Balas ◽

J.C. Doyle

Keyword(s):

Flexible Structures ◽

Control Design ◽

And Performance

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Optimum Structure/Control Design Using Multiobjective Optimization Techniques

Volume 3C: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration Control, Analysis, and Identification ◽

10.1115/detc1995-0628 ◽

1995 ◽

Author(s):

M. Sunar ◽

S. S. Rao

Keyword(s):

Multiobjective Optimization ◽

Objective Function ◽

Flexible Structures ◽

Computational Cost ◽

Control Design ◽

Optimization Techniques ◽

Control Technique ◽

Optimum Structure ◽

Structure Control ◽

Single Objective

Abstract A novel multiobjective optimization formulation is presented for the combined structural and control design of flexible structures using several multiobjective optimization techniques. The quadratic performance index, control energy and structural weight are integrated into one single objective function for minimization and various stability and performance constraints along with the constraints on the closed-loop eigenvalues are imposed on the structure. Weighting method, goal programming technique and modified game theory are used as multiobjective optimization techniques to collapse the three objective functions into one single objective function. A substructural control technique is employed for the structural control design in order to reduce the computational cost of the optimization procedure. The proposed multiobjective control optimization scheme produces optimum structure/control design and because of its numerical efficiency, it can be applied to large flexible structures.

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