Multi-Objective Optimization Design of Natural Frequency of Two-Degree-of-Freedom Fast Steering Mirror System

Zhang, Weifan; Yuan, Jing; C, Yan; Gao, Zhiliang; Dong, Youzhi

doi:10.1109/access.2021.3061473

Cited by 8 publications

(7 citation statements)

References 24 publications

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“…where J represents the rotational inertia of the mechanism, c is the rotational damping, B is the amplitude of the excitation, ω is the excitation frequency, and Φ is the phase. For dimensionless processing convenience, we multiply the right-hand side of the equation by the stiffness k. Using the harmonic balance method, Equation ( 10) is solved, assuming the solution takes the form θ = A cos(ωt) (11) where A is the response amplitude. Non-dimensionalizing Equation (10), we have…”

Section: Nonlinear Analysis Of the Mechanismmentioning

confidence: 99%

“…where ζ = c/(2 √ kJ), ω 0 = √ k/J. Substituting Equation (11) into Equation (10), we obtain the following equation:…”

Section: Nonlinear Analysis Of the Mechanismmentioning

confidence: 99%

“…Therefore, the resonant frequency of the system is generally required to be high, and the rotational stiffness of the flexure hinge and the mirror load directly determine the resonant frequency of the system. The research studies in [10][11][12] describe that the performance of the FSM is mainly changed by changing the structure of the flexure hinge. The disadvantage of this method is that the stiffness of the flexure hinge cannot be adjusted after its structure is determined.…”

Section: Introductionmentioning

confidence: 99%

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Design and Analysis of Variable-Stiffness Fast-Steering Mirror

Luo,

Mao,

Dai

et al. 2023

Actuators

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The non-variable stiffness of the flexible hinge in the fast-steering mirror (FSM) cannot adapt to varying load demands. To address this issue, this paper presents an innovative variable-stiffness rotational mechanism designed for use with FSMs. Firstly, the working principle of the variable-stiffness mechanism is introduced, and the influence of the length of each structure on the stiffness and the nonlinear influence are analyzed. Then, the variable-stiffness mechanism is applied to the FSM for the variable-stiffness experiment and variable-load experiment. The experimental results show that the variable-stiffness mechanism designed in this paper can realize the change in stiffness. The errors between the experimental value and the theoretical value of the three sets of experiments are +5.72%, +7.57%, and +6.57%. The FSM’s stiffness nonlinearity is very small, and the resonance frequency of the FSM before and after increasing the load can be consistent. The variable-stiffness mechanism can change the frequency characteristics by changing the rotational stiffness of the FSM.

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Section: Nonlinear Analysis Of the Mechanismmentioning

confidence: 99%

“…where ζ = c/(2 √ kJ), ω 0 = √ k/J. Substituting Equation (11) into Equation (10), we obtain the following equation:…”

Section: Nonlinear Analysis Of the Mechanismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Design and Analysis of Variable-Stiffness Fast-Steering Mirror

Luo,

Mao,

Dai

et al. 2023

Actuators

View full text Add to dashboard Cite

show abstract

“…For example, D. J. Kluk et al [ 8 ] designed a novel structure with a smaller mass and a more compact structure, increasing the natural frequency of the system and achieving a higher closed-loop bandwidth. W. Zhang et al [ 9 ] used the NSGA-II algorithm to perform multi-objective optimization of the natural frequencies of a two-axis FSM, increasing the system’s working bandwidth through mechanical structure optimization. Others tried to increase the working bandwidth by designing different controllers.…”

Section: Introductionmentioning

confidence: 99%

Integrated Optimization of Structure and Control for Fast Steering Mirrors

Chen,

Duan,

Zhang

et al. 2024

Micromachines

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This study concerns the problem of integrated optimization of structure and control based on a fast steering mirror, aiming to achieve simultaneous optimization of the mechanical structure and control system. The traditional research and development path of the fast steering mirror involves a lengthy process from the initial design to the final physical manufacture. In the prior process, it was necessary to produce physical prototypes for repeated debugging and iterative optimization to achieve design requirements, but this approach consumes a significant amount of time and cost. To expedite this process and reduce unnecessary experimental costs, this study proposes an integrated optimization of structure and control (IOSC) method. With the use of IOSC, it is possible to achieve simultaneous optimization of structure and control. Specifically, the use of non-dominated sorting genetic algorithm II (NSGA-II) obtains globally optimal controller parameters and mechanical structure parameters under certain performance indices. This achieves an effective balance between the resonance frequency generated by the system and the working bandwidth, providing a high-precision reference for the research and development of fast steering mirrors.

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“…It is widely used to suppress beam jitter with large values. The FSM's output accuracy determines the control accuracy of the beam dithering system [12][13][14][15]. However, when the FSM rotates in response to two free degrees, there will be mechanical coupling, that is, the response of one degree of freedom will cause the response of the other free degree.…”

Section: Introductionmentioning

confidence: 99%

A Tracking Imaging Control Method for Dual-FSM 3D GISC LiDAR

Qian

et al. 2022

Remote Sensing

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In this paper, a tracking and pointing control system with dual-FSM (fast steering mirror) composite axis is proposed. It is applied to the target-tracking accuracy control in a 3D GISC LiDAR (three-dimensional ghost imaging LiDAR via sparsity constraint) system. The tracking and pointing imaging control system of the dual-FSM 3D GISC LiDAR proposed in this paper is a staring imaging method with multiple measurements, which mainly solves the problem of high-resolution remote-sensing imaging of high-speed moving targets when the technology is transformed into practical applications. In the research of this control system, firstly, we propose a method that combines motion decoupling and sensor decoupling to solve the mechanical coupling problem caused by the noncoaxial sensor installation of the FSM. Secondly, we suppress the inherent mechanical resonance of the FSM in the control system. Thirdly, we propose the optical path design of a dual-FSM 3D GISC LiDAR tracking imaging system to solve the problem of receiving aperture constraint. Finally, after sufficient experimental verification, our method is shown to successfully reduce the coupling from 7% to 0.6%, and the precision tracking bandwidth reaches 300 Hz. Moreover, when the distance between the GISC system and the target is 2.74 km and the target flight speed is 7 m/s, the tracking accuracy of the system is improved from 15.7 μrad (σ) to 2.2 μrad (σ), and at the same time, the system recognizes the target contour clearly. Our research is valuable to put the GISC technology into practical applications.

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Multi-Objective Optimization Design of Natural Frequency of Two-Degree-of-Freedom Fast Steering Mirror System

Cited by 8 publications

References 24 publications

Design and Analysis of Variable-Stiffness Fast-Steering Mirror

Design and Analysis of Variable-Stiffness Fast-Steering Mirror

Integrated Optimization of Structure and Control for Fast Steering Mirrors

A Tracking Imaging Control Method for Dual-FSM 3D GISC LiDAR

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