Bayesian Model Selection in Nonlinear Subspace Identification

Zhu, Rui; Fei, Qingguo; Jiang, Dong; Marchesiello, Stefano; Anastasio, Dario

doi:10.2514/1.j060782

Cited by 6 publications

(6 citation statements)

References 22 publications

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“…This leads to intrinsic errors in the identification of real-life nonlinear systems, which can be mitigated by accurately selecting proper candidate nonlinear models. This step is generally referred to as nonlinear characterization and it is essential for a satisfactory identification [1,44]. The same Helmholtz-Duffing oscillator is therefore considered in this section, but the output is here corrupted with an increasing level of Gaussian noise, and it is assumed that the true nonlinear basis functions are not known.…”

Section: Effects Of Noise and Nonlinear Modeling Errorsmentioning

confidence: 99%

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Nonlinear frequency response curves estimation and stability analysis of randomly excited systems in the subspace framework

Anastasio

Marchesiello

2023

Nonlinear Dyn

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In this paper, the periodic solutions of nonlinear mechanical systems are studied starting from the nonlinear state-space model estimated using the nonlinear subspace identification (NSI) technique. In its standard form, NSI needs the input–output data from a nonlinear structure undergoing broadband excitation and requires the prior knowledge of the locations and kind of nonlinearities to be estimated. The method allows the estimation of the nonlinear features of the system and the indirect study of its periodic solutions using a single broadband excitation, without the need of feedback control loops. To this end, the nonlinear frequency response curves of the system are estimated merging the harmonic balance method with the NSI technique and using a continuation approach. Then, a monodromy-based stability analysis is developed in the nonlinear state-space framework to study the stability of the periodic solutions of the system and to track its bifurcations. The method is validated considering conservative nonlinearities on two numerical examples and one experimental application, the latter comprising a double-well oscillator with period-doubling phenomena. The effects of noise and nonlinear modeling errors are also evaluated.

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Section: Effects Of Noise and Nonlinear Modeling Errorsmentioning

confidence: 99%

“…As for the damping model, detailed studies have been conducted in [44] to derive an ad-hoc dissipative model, which considers the effects of the sliding movement of the moving mass. The importance of such a model is quite significant when considering cross-well oscillations.…”

Section: Experimental Applicationmentioning

confidence: 99%

Nonlinear frequency response curves estimation and stability analysis of randomly excited systems in the subspace framework

Anastasio

Marchesiello

2023

Nonlinear Dyn

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“…It is a suitable way to assess the results by comparing the natural frequencies 23,24 of the exact, measured, and corrected FRFs. The natural frequencies are shown in Table 2.…”

Section: Elimination Of Air Cushion Massmentioning

confidence: 99%

Removing adverse effect of measurement process in flotation method

Zhu

Fei

Jiang

2022

Proceedings of the Institution of Mechanical Engineers, Part G:

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Ground simulation of space quasi-zero gravity environment is essential in modal testing of space structures. The air flotation method is widely used, in which the air cushion unit is attached to the measured structure. This inevitably increases the total mass of the structure to be tested and leads to the incorrect prediction of modal parameters. And irregular airflow disturbances of the air cushion unit also have negative effects on the test. The fast elimination method is presented to remove the adverse impact in the test data based on measured frequency response functions. Numerical simulations are performed employing the magnetometer structure. Results show that this method effectively removes the adverse mass and the airflow effect.

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“…Natural frequencies can be obtained by system identification methods. [6][7][8] To ensure the operation of the spacecraft, it is necessary that avoiding the coupling resonance between the solar array and the microwave imager is implemented by frequency modulation.…”

Section: Introductionmentioning

confidence: 99%

Frequency modulation analysis of solar array using genetic algorithm

Zhu

Jiang

2022

Proceedings of the Institution of Mechanical Engineers, Part G:

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In this paper, the optimal placement of prestress (OPP) is investigated for solar array frequency modulation using the genetic algorithm (GA). The purpose of OPP is to improve the solar array’s fundamental frequency and prevent coupling resonance between the solar array and the microwave imager. Prestress is applied to a solar panel by the tension actuators. For optimization producers, the finite element model is used to analyze the prestress configuration problem, which can be converted into the number of programming decision constraints. The automatic interactive updating calculation between MATLAB and finite element software is realized by programming. The GA is used to optimize the solution. Region detection is used, and the bad individuals can be eliminated directly to avoid fitness calculation and effectively improve the optimization efficiency. Simulations are conducted for a solar panel with four arrays. Single-, two-, and three-plate optimizations are investigated. Four optimization parameters include the abscissa value, ordinate value, the laying direction of the actuator in the global coordinate system, and the prestress magnitude. Results demonstrate that the fundamental frequency reaches the maximum at a horizontal layout of prestress after the frequency modulation. The optimal solution is obtained when the prestress is placed in No.2, No.3, and No.4 plates.

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Bayesian Model Selection in Nonlinear Subspace Identification

Cited by 6 publications

References 22 publications

Nonlinear frequency response curves estimation and stability analysis of randomly excited systems in the subspace framework

Nonlinear frequency response curves estimation and stability analysis of randomly excited systems in the subspace framework

Removing adverse effect of measurement process in flotation method

Frequency modulation analysis of solar array using genetic algorithm

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