Parameter and State Estimation of Shear Buildings Using Spline Interpolation and Linear Integral Filters

Concha, Antonio; Álvarez-Icaza, Luis

doi:10.1155/2018/5206968

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…In this regard, employing adaptive observers or state estimators is among the common approaches to tackle this issue. 18,19…”

Section: The Proposed Integrated Vsm/lqr Approachmentioning

confidence: 99%

“…After that, the matrixQ in Equation (17) and the matrixÂ in Equation (18) are reconstructed. Finally, the updated optimal state-feedback gain of the LQR is determined by solving the Riccati Equation (19). The calculated gain matrix will be used after T id to attenuate the excessive vibration of the structure and to calculate corresponding optimal control forces.…”

Section: Example 2: Five-story Shear-type Frame With Noisy Measurementsmentioning

confidence: 99%

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Smart vibration control of structures with unknown structural parameters using integratedvirtual synchronization method/linear‐quadratic regulatorapproach

Ghaderi

Goshtaei

2020

Adv Control Appl

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Although vibration control and health monitoring of structures have been treated separately in recent years, it will be beneficial to integrate these two systems and develop a smart structure with its own sensors, processors, and actuators. In this article, an integrated virtual synchronization method/linear‐quadratic regulator (VSM/LQR) approach for system identification and vibration control of structures with unknown physical parameters is proposed. First, based on the measured state of the structure, the unknown structural parameters are estimated using the VSM in a relatively short duration. The estimated parameters are then employed to determine optimal control forces for the purpose of the vibration control. The feasibility and effectiveness of the proposed approach are numerically examined through the time‐history analysis of two shear‐type frames with unknown stiffness coefficients. The results from the numerical investigation of the example structures demonstrate that the proposed method is effective in the vibration attenuation of structures with unknown parameters. Moreover, it was shown that the proposed VSM/LQR approach is more promising for addressing unknown structural parameters than the recursive least square method and conventional LQR method.

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“…In this regard, employing adaptive observers or state estimators is among the common approaches to tackle this issue. 18,19…”

Section: The Proposed Integrated Vsm/lqr Approachmentioning

confidence: 99%

Section: Example 2: Five-story Shear-type Frame With Noisy Measurementsmentioning

confidence: 99%

Smart vibration control of structures with unknown structural parameters using integratedvirtual synchronization method/linear‐quadratic regulatorapproach

Ghaderi

Goshtaei

2020

Adv Control Appl

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show abstract

“…Hence, some characteristics of signal cannot be effectively applied for analysis. In addition to the above methods, several model-based strategies have been also proposed for response reconstruction in recent decades [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Indirect Reconstruction of Structural Responses Based on Transmissibility Concept and Matrix Regularization

Pan

Zhang

Sun

2021

Shock and Vibration

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A novel method is proposed based on the transmissibility concept and matrix regularization for indirectly measuring the structural responses. The inputs are some measured responses that are obtained via physical sensors. The outputs are the structural responses corresponding to some critical locations where no physical sensors are installed. Firstly, the transmissibility concept is introduced for expressing the relationship between the measured responses and the indirectly measured ones. Herein, a transmissibility matrix is formulated according to the theory of force identification under unknown initial conditions. Then, in order to reduce the size of the transmissibility matrix, structural responses are reshaped in a form of a matrix by using the concept of moving time windows. According to the matrix form of input-output relationship, indirect reconstruction of responses is boiled down to an optimization equation. Since inverse problem may be ill-conditioned, matrix regularization such as F-norm regularization is then recommended for improving the optimization problem. Herein, the penalty function is defined by using a weighted sum of two F-norm values, which correspond to the estimated responses of physical sensors and the ones of the concerned critical locations, respectively. Numerical simulations and experimental studies are finally carried out for verifying the effectiveness and feasibility of the proposed method. Some results show that the proposed method can be applied for indirectly measuring the responses with good robustness.

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Parameter and State Estimation of Shear Buildings Using Spline Interpolation and Linear Integral Filters

Cited by 2 publications

References 31 publications

Smart vibration control of structures with unknown structural parameters using integratedvirtual synchronization method/linear‐quadratic regulatorapproach

Smart vibration control of structures with unknown structural parameters using integratedvirtual synchronization method/linear‐quadratic regulatorapproach

Indirect Reconstruction of Structural Responses Based on Transmissibility Concept and Matrix Regularization

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