Feedback shape control for deployable mesh reflectors using gain scheduling method

Xie, Yangmin; Shi, Huaizhong; Alleyne, Andrew G.; Yang, Bíngen

doi:10.1016/j.actaastro.2016.01.005

Cited by 21 publications

(4 citation statements)

References 47 publications

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“…Obtaining high-precision antenna reflector has always been the focus of scientists. [28][29][30][31] Sun et al 32 deduced the tracking law of the antenna reflector and designed a search algorithm to effectively control the pointing accuracy of the antenna. You et al 33 created a nonlinear control technique for tracking the antenna pointing trajectory.…”

Section: Introductionmentioning

confidence: 99%

A new source finding and tracking analysis approach for the active reflector of five-hundred-meter aperture spherical telescope

Chen

Zhang

Qian

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part G:

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The FAST (Five-hundred-meter Aperture Spherical Telescope) is the world’s largest single-aperture radio telescope. During operation, FAST needs to follow the observed celestial body to adjust displacements, which can be divided into two processes: the source finding and tracking. In this paper, a new numerical method based on Vector Form Intrinsic Finite Element (VFIFE) is proposed to simulate the source finding and tracking process for FAST’s active reflector. The basic principle of static equilibrium and calculation flow of the sourcing and tracking analysis is proposed, and the finite element program is compiled to analyze the displacement process of the reflector cable-net structure. Then, six typical test conditions are selected to simulate the sourcing and tracking displacement process. The obtained final form in the equilibrium state adheres to the target configuration, demonstrating the applicability of the suggested approach and the correctness of calculation findings. In addition, the change in the actuator length and the structural force distribution can be simultaneously derived. These values serve as a vital theoretical foundation for FAST’s practical operation and regulation.

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Section: Introductionmentioning

confidence: 99%

A new source finding and tracking analysis approach for the active reflector of five-hundred-meter aperture spherical telescope

Chen

Zhang

Qian

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part G:

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“…Using a Smith predictor, The authors of [39] provided a proportional-integral-derivative (PID) gain-scheduling control with second-order linear parameter variation, which eliminates time-varying delay. Additional intriguing adaptive gain-scheduling control mechanisms for practical, applications are discussed in [40][41][42][43][44]. The authors of [45] presented the design of a proportional-integral gain-scheduling control for position control of a sphere in a laboratory magnetic levitation system.…”

Section: Introductionmentioning

confidence: 99%

Design a Robust Proportional-Derivative Gain-Scheduling Control for a Magnetic Levitation System

Almobaied,

Al-Nahhal,

Arrieta

et al. 2023

Mathematics

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This study focuses on the design of a robust PD gain-scheduling controller (PD-GS-C) for an unstable SISO (single-input, single-output) magnetic levitation system with two electromagnets (MLS2EM). Magnetic levitation systems offer various advantages, including friction-free, reliable, fast, and cost-effective operations. However, due to their unstable and highly nonlinear nature, these systems require sophisticated feedback control techniques to ensure optimal performance and functionality. To address these challenges, in this study, we derive the nonlinear state-space mathematical model of the MLS2EM and linearize it around five different operating points. The PD-GS-C controller aims to stabilize the system and improve steady-state control error. The strategy for obtaining the PD controller gains involves a parameter space technique, which specifies performance requirements. This technique results in ranges of proportional (KP) and derivative (KD) gains that are used by the PD-GS-C structure. To optimize the controller’s performance further, we utilize the big bang–big crunch optimization technique (BB-BC) to determine the optimal PD gains within the specified ranges. The optimization process focuses on achieving optimal performance in terms of a specific performance index function. This function quantifies the system’s time-domain step response criteria, which include minimizing overshoot percentage, settling time, and rising time. The index function is inversely proportional to the desired performance criteria, meaning that the goal is to maximize the index function to optimize the system’s performance. To validate the effectiveness and viability of the proposed strategy, we conducts MATLAB simulations and real-time experiments. The simulations and experimental findings serve to demonstrate the controller’s performance and verify its capabilities in stabilizing the MLS2EM magnetic levitation system.

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“…Thereafter, based on the experimental influence coefficient matrix (ICM) model, Song et al presented an error least-squares method for shape control of an antenna reflector equipped with piezoelectric (PZT) actuators [3]. Xie et al developed a gain scheduling method coupled with the H∞ robust control to maintain the shape accuracy of a deployable mesh reflector [4]. All the above controllers were designed as a single centralized controller, which is usually applicable for smallscale structures with few actuators.…”

Section: Introductionmentioning

confidence: 99%

A Physics-Guided Coordinated Distributed MPC Method for Shape Control of an Antenna Reflector

Peng

Song

et al. 2022

IEEE Trans. Cybern.

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Active shape control for an antenna reflector is a significant procedure used to compensate the impacts for a complicated space environment. In this paper, a physics-guided distributed model predictive control (DMPC) framework for reflector shape control with input saturation is proposed. First, guided by the actual physical characteristics, an overall structural system is decomposed into multilevel subsystems with the help of a so-called substructuring technique. For each subsystem, a prediction model with information interaction is discretized by an explicit Newmark-β method. Then, to improve the systemwide control performance, a coordinator among all the subsystems is designed in an iterative fashion. The input saturation constraints are addressed by transforming the original problem into a linear complementarity problem (LCP). Finally, by solving the LCP, the input trajectory can be obtained. The performance of the proposed DMPC algorithm is validated through an experiment on the shape control of an antenna reflector structure.

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Feedback shape control for deployable mesh reflectors using gain scheduling method

Cited by 21 publications

References 47 publications

A new source finding and tracking analysis approach for the active reflector of five-hundred-meter aperture spherical telescope

A new source finding and tracking analysis approach for the active reflector of five-hundred-meter aperture spherical telescope

Design a Robust Proportional-Derivative Gain-Scheduling Control for a Magnetic Levitation System

A Physics-Guided Coordinated Distributed MPC Method for Shape Control of an Antenna Reflector

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