Application of ridge regression in pose control of telescope primary mirror with sparse aperture

Haifeng, 曹海峰 Cao; Jing-xu, 张景旭 Zhang; Fei, 杨飞 Yang; Qichang, 安其昌 An

doi:10.3788/irla201948.0318003

Cited by 2 publications

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“…The correlation between the actuator displacement

and sensor measurement

can be simplified as follows:

where matrix

is the interaction matrix characterizing the response between actuator and sensor. The steps for the construction of the interaction matrix

can be found in the literature [ 17 , 18 ].…”

Section: Segmented Active Control Analysismentioning

confidence: 99%

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A Novel Tandem Differential Edge Sensor Layout for Segmented Mirror Telescopes

Huo,

Yang,

Wang

et al. 2023

Sensors

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The performance of an active control system, crucial for the co-phase maintenance of segmented mirrors, is closely related to the spatial layout of sensors and actuators. This article compares two types of edge sensor layouts, vertical and horizontal, and proposes a novel tandem differential sensor layout that saves layout space and reduces the number of positioning references. The control performance of this scheme is analyzed in terms of error propagation, mode representation, and the scalable construction of the control matrix. Finally, we constructed a tandem differential-based sensor detection system to examine the performance of edge sensors and the effect of laboratory environmental variables on sensor measurements. Simulations and experiments demonstrate that this scheme has the same ability to fully characterize actuator modification modes as the Keck edge sensor layout. Although the total error multiplier is slightly larger than the latter, it has fewer scalable control matrix types and stronger spatial and segmental shape adaptation capabilities. Actual measurements show that the sensor’s own noise in a tandem differential layout is less than 20 nm, which meets the requirements for future segmented co-phase maintenance. This layout type can potentially be applied to future small and medium-sized segmented splices.

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“…The correlation between the actuator displacement

and sensor measurement

can be simplified as follows:

where matrix

is the interaction matrix characterizing the response between actuator and sensor. The steps for the construction of the interaction matrix

can be found in the literature [ 17 , 18 ].…”

Section: Segmented Active Control Analysismentioning

confidence: 99%

“…where matrix A is the interaction matrix characterizing the response between actuator and sensor. The steps for the construction of the interaction matrix A can be found in the literature [17,18].…”

Section: Type Imentioning

confidence: 99%

A Novel Tandem Differential Edge Sensor Layout for Segmented Mirror Telescopes

Huo,

Yang,

Wang

et al. 2023

Sensors

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Linear Twin Quadratic Surface Support Vector Regression

Zhai

Tian

Zhou

2020

Mathematical Problems in Engineering

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Twin support vector regression (TSVR) generates two nonparallel hyperplanes by solving a pair of smaller-sized problems instead of a single larger-sized problem in the standard SVR. Due to its efficiency, TSVR is frequently applied in various areas. In this paper, we propose a totally new version of TSVR named Linear Twin Quadratic Surface Support Vector Regression (LTQSSVR), which directly uses two quadratic surfaces in the original space for regression. It is worth noting that our new approach not only avoids the notoriously difficult and time-consuming task for searching a suitable kernel function and its corresponding parameters in the traditional SVR-based method but also achieves a better generalization performance. Besides, in order to make further improvement on the efficiency and robustness of the model, we introduce the 1-norm to measure the error. The linear programming structure of the new model skips the matrix inverse operation and makes it solvable for those huge-sized problems. As we know, the capability of handling large-sized problem is very important in this big data era. In addition, to verify the effectiveness and efficiency of our model, we compare it with some well-known methods. The numerical experiments on 2 artificial data sets and 12 benchmark data sets demonstrate the validity and applicability of our proposed method.

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Application of ridge regression in pose control of telescope primary mirror with sparse aperture

Cited by 2 publications

References 0 publications

A Novel Tandem Differential Edge Sensor Layout for Segmented Mirror Telescopes

A Novel Tandem Differential Edge Sensor Layout for Segmented Mirror Telescopes

Linear Twin Quadratic Surface Support Vector Regression

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