CN107728317B - General processing method for partial failure fault of adaptive optical system - Google Patents
General processing method for partial failure fault of adaptive optical system Download PDFInfo
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Abstract
The invention provides a general processing method for partial failure faults of an adaptive optical system, and in the calculation process of wavefront restoration, the conventional method considers that all sensor sub-apertures and deformable mirror drivers of the adaptive optical system are effective, so that the problem of unstable system work caused by partial failure of the adaptive optical system cannot be processed. The general processing method for the partial failure fault of the self-adaptive optical system adopts the diagonal switch array to describe the partial failure condition of the self-adaptive optical system, can well solve the problems, is simple and convenient, has good universality and high flexibility, and can be applied to the conditions of aperture shortage of various self-adaptive optical systems and failure of deformable mirror drivers.
Description
Technical Field
The invention belongs to the technical field of wavefront control, and particularly relates to a general processing method for partial failure faults of an adaptive optical system.
Background
The wave-front restoration technology is an important branch of the wave-front control technology and is characterized in that a sub-aperture slope signal of a wave-front detector is adopted to calculate a driving voltage signal of a wave-front correction device.
The conventional wavefront restoration techniques mainly include a region method (zhang, zingiber and xu ice, "regional algorithm research for Hartmann-shack wavefront sensor", strong laser and particle beam, 10(2), 1998), a mode method (lei xinyang, wangchun, xianhao, etc., "real-time mode restoration algorithm of adaptive optics system", strong laser and particle beam, 14(1), 2002) and a direct slope method (lei xinyang, wangchun, xianhao, zingiber, "mode correction effect analysis of direct slope wavefront control algorithm", optics report, 21(1), 2001), etc., which all consider that the subapertures of all wavefront sensors and wavefront corrector drivers are effective, and when the design state works, a very satisfactory result can be obtained, but what is mainly lacking is that when the subapertures of sensors are deficient or the drivers fail, the control voltage of the system will be diffused, and cannot stably operate. The novel method provides that diagonal switch arrays M and N are adopted to describe the sub-aperture light shortage of the self-adaptive optical system sensor and the failure of a deformable mirror driver, a 0-1 fault model is adopted for modeling, and the operation of the diagonal switch arrays M and N can be effectively increased when a recovery matrix is calculated, so that the stability of the system in working is ensured.
Disclosure of Invention
Technical problem to be solved
In view of the above technical problems, the present invention provides a general processing method for partial failure of an adaptive optics system, which models the conditions of the adaptive optics system sensor sub-aperture light shortage and the deformable mirror driver failure through a 0-1 fault model, and adds the operations of the diagonal switch arrays M and N in the recovery algorithm. The method can well process the conditions of sub-aperture light shortage of the sensor of the adaptive optical system and failure of the deformable mirror driver, is simple and convenient, has good universality and high flexibility, and can ensure the working stability of the system under the conditions of sub-aperture light shortage of the sensor and failure of the deformable mirror driver.
(II) technical scheme
According to one aspect of the invention, a general processing method for partial failure of an adaptive optical system is provided, wherein the problem is modeled by modeling sensor sub-aperture light shortage and deformable mirror driver failure through a 0-1 fault model, so that the universality and flexibility of the method are improved, and any condition of sensor sub-aperture light shortage and deformable mirror driver failure can be processed. In the operation process of the recovery matrix, the operation of two diagonal switch arrays M and N is added, the diagonal elements are only 0 and 1, and the diagonal switch arrays M and N are easily obtained, so that the engineering application is very convenient, and the specific implementation steps are as follows:
step 1: numbering the sub-apertures of the deformable mirror driver and the sensor in sequence;
step 2: sequentially and orderly measuring a direct slope matrix D under all effective light transmission apertures to obtain a mapping relation between a system control voltage u and a sensor slope output y, wherein the mapping relation is as follows:
y＝Du
and step 3: finding out the serial number of a failure driver and the serial number of a photon-lacking aperture in the self-adaptive optical system, and determining diagonal switch arrays M and N according to the serial numbers and the layout relation of the driver and the photon-lacking aperture, wherein M and N are determined by the number of sensor sub-apertures and the number of drivers, and diagonal element values are determined by the serial number of the photon-lacking aperture and the serial number of the failure driver;
and 4, step 4: let D ' be MDN, and solve generalized inverse matrix D ' for matrix D '+If the system processed recovery matrix R is the generalized inverse matrix D'+Reflecting the slope and voltage mapping system;
and 5: the residual voltage can be calculated by substituting the restoration matrix R into the system.
The method is not only suitable for the conditions of light shortage of the sub-apertures and failure of the driver caused by light transmission aperture change, but also suitable for the conditions of light shortage of single or multiple sub-apertures or failure of the driver.
Wherein, for sensor sub-aperture light shortage and drive failure, a 0-1 fault model is adopted for description.
(III) advantageous effects
The invention provides a general processing method for partial failure of a self-adaptive optical system, which is convenient, flexible, good in universality, simple to operate and easy for engineering realization. The conditions of sub-aperture light shortage of the sensor of the adaptive optical system and failure of the deformable mirror driver are modeled through a 0-1 fault model, and operations of the diagonal switch arrays M and N are added in a recovery algorithm, so that the conditions of sub-aperture light shortage of the sensor of the adaptive optical system and failure of the deformable mirror driver can be well processed, and the working stability of the system under the conditions of sub-aperture light shortage of the sensor and failure of the deformable mirror driver is ensured.
Drawings
FIG. 1 is a signal flow diagram of a method of the present invention;
FIG. 2 is a diagram of a control scheme of the method of the present invention;
FIG. 3 illustrates a method according to a first embodiment of the present invention, wherein FIG. 3(a) illustrates the numbering and arrangement of 61-unit deformable mirror drivers, and FIG. 3(b) illustrates the numbering and arrangement of 80-unit sensor sub-apertures;
fig. 4 illustrates a method according to an embodiment of the present invention, wherein fig. 4(a) is a diagram of a subaperture spot array with 100% effective clear aperture, and fig. 4(b) is a diagram of a subaperture spot array with 80% effective clear aperture;
FIG. 5 is a diagram of a fitting surface shape of a closed-loop control voltage under a 100% effective clear aperture, FIG. 5(b) is a diagram of a fitting surface shape of a closed-loop control voltage under an 80% effective clear aperture, and FIG. 5(c) is a diagram of a fitting surface shape of a closed-loop control voltage under an 80% effective clear aperture under a 0-1 fault model according to a first embodiment of the present invention;
fig. 6 shows a control voltage curve of driver No. 54, fig. 6(b) shows a control voltage curve of driver No. 55, fig. 6(c) shows a control voltage curve of driver No. 59, and fig. 6(d) shows a control voltage curve of driver No. 60;
in the figure:
for disturbance input, N is noise input, M, N are diagonal switch matrix, R is restoration matrix, esIs a slope residual signal, euIs the voltage residual signal, u is the control voltage signal, and y is the compensation signal.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to specific embodiments and the accompanying drawings.
The invention relates to a general processing method for partial failure of an adaptive optical system, which has the core idea that the failure states of the subaperture of a sensor of the adaptive optical system and the failure state of a deformable mirror driver are modeled through a 0-1 fault model, the calculation of a recovery matrix is performed, the operation of a switch array M and a switch array N is increased, the operation is simple, flexible and convenient, and the method is suitable for the conditions of the subaperture of the sensor of the adaptive optical system and the failure of the deformable mirror driver.
Example one
In an exemplary embodiment of the present invention, a general approach to adaptive optics partial failure is provided.
Referring to fig. 1 to 6, the method of the present embodiment includes:
fig. 1 is a signal flow diagram of an adaptive optics system, fig. 2 is a control structure diagram of the adaptive optics system, in an embodiment, a deformable mirror of the adaptive optics system is driven by a 61-unit driver, the driver is arranged and numbered as in fig. 3(a), a sensor adopts a hartmann sensor with 80 sub-apertures, the sub-apertures are arranged and numbered as in fig. 3(b), and an image difference plate (PV is 3.2504 λ, RMS is 0.7479 λ, λ is 632nm) of an object to be corrected into a known wavefront. When the system is 100% effective clear aperture, the light spot array diagram of the sensor sub-aperture is shown in fig. 4(a), the sub-apertures all have light spots, and when the system is 80% effective clear aperture, the light spot array diagram of the sensor sub-aperture is shown in fig. 4(b), and part of the sub-apertures lack light. According to the figure of the sub-apertures, the number of the missing photon aperture is (1, 2, 3, 4, 5, 12, 21, 30, 31, 40, 41, 50, 51, 60, 69, 76, 77, 78, 79, 80), and the number of the failed driver is (1, 2, 3, 4, 5, 6, 11, 12, 18, 19, 26, 27, 35, 36, 43, 44, 50, 51, 56, 57, 58, 59, 60, 61) can be obtained according to the layout relationship between the deformed mirror driver and the sensor sub-apertures. Therefore, the value of the diagonal switch matrix M describing whether the sensor sub-aperture is valid is:
wherein the content of the first and second substances,
the diagonal switch matrix N describing the failure of the drive takes values as:
N61×61＝diag(n1… nj… n61)，j＝1,...,61
wherein the content of the first and second substances,
therefore, the 0-1 fault model is adopted to model sensor sub-aperture light shortage and deformable mirror driver failure, and the conditions of sensor sub-aperture light shortage and deformable mirror driver failure of the adaptive optical system can be effectively processed. The model is as follows:
y＝D'u＝MDNu
wherein D is a direct slope matrix, and M and N are diagonal switch matrices. When a restoration matrix is calculated, the calculation of the diagonal switch arrays M and N is added, the operation is simple, the universality is good, and the specific steps are as follows:
step 1: numbering the drivers and sub-apertures in sequence;
step 2: sequentially and orderly measuring a direct slope matrix D under all effective light-passing apertures to obtain a mapping relation from a system control voltage u to a sensor slope output y, wherein the mapping relation is as follows:
y＝Du
and step 3: finding out the number of a failure driver and the number of a photon-lacking aperture in a self-adaptive optical system, and determining diagonal switch arrays M and N according to the numbers and the layout relation of the driver and the sub-aperture, wherein M and N are determined by the number of the sensor sub-apertures and the number of the drivers, and diagonal element values are determined by the number of the photon-lacking aperture and the number of the failure driver;
and 4, step 4: let D ' be MDN, and solve generalized inverse matrix D ' for matrix D '+If the system recovery matrix R is the generalized inverse matrix D'+。
And 5: and loading the restoration matrix R into the system to be used as a mapping relation of the slope residual error matrix and the voltage residual error matrix, and calculating the residual error voltage.
Fig. 5(a) and 5(b) show the fitted surfaces of the control voltage for the case of 100% effective clear aperture and 80% effective clear aperture, respectively. Under the condition of 100% effective clear aperture, the fitting curved surface is continuous and has no abnormal projection, and under the condition of 80% effective clear aperture, the fitting curved surface is discontinuous and the control voltage of the edge driver is abnormal. After processing with the 0-1 fault model, the fitted surface of the control voltage is continuous as shown in fig. 5(c), and the abnormal control voltage of the edge driver is eliminated.
Fig. 6 shows the control voltage curves for the partial drivers (54, 55, 59, 60) at two effective clear aperture (the dashed line in the figure is the 80% effective clear aperture result). The fitted surface and curve of the control voltage reflect that the system can not work stably under 80% effective clear aperture. After the 0-1 fault model is adopted for processing, the control voltage curve is shown by a chain line in a dotted line in fig. 6, and the control voltage is stable, which shows that the method can ensure the stable operation of the system under the conditions that the aperture of the sensor of the adaptive optical system is deficient and the deformable mirror driver fails.
In the embodiment, a core idea of the general processing method for partial failure of the adaptive optical system is that a 0-1 fault model is adopted to model the sub-aperture of the sensor of the adaptive optical system and the failure of the deformable mirror driver, the system is constrained by diagonal switch arrays M and N, when a recovery matrix is calculated, the calculation of the two diagonal switch arrays is added, and the working stability of the system when the sub-aperture of the sensor is deficient and the deformable mirror driver is failed is ensured.
Claims (1)
1. A general processing method for partial failure faults of a self-adaptive optical system is characterized in that switch arrays M and N are used for describing that a sensor sub-aperture lacks light and a deformable mirror driver fails, the switch arrays are diagonal matrixes, diagonal elements are only 0 and 1 and are used for describing whether the sensor sub-aperture lacks light and the deformable mirror driver is effective or not, the dimensionality of the switch arrays M for describing the sensor sub-aperture lacks light is twice of the number of the sub-apertures, the dimensionality of the switch arrays N for describing the deformable mirror driver fails is equal to the number of the deformable mirror drivers, a 0-1 model is used for modeling partial failure of the system, calculation of a recovery matrix is further carried out through the following steps, processing of partial failure of the system is achieved, and stable work of the system is guaranteed:
step 1: numbering the sub-apertures of the deformable mirror driver and the sensor in sequence;
step 2: sequentially and orderly measuring a direct slope matrix D under all effective light transmission apertures to obtain a mapping relation between a system control voltage u and a sensor slope output y, wherein the mapping relation is as follows:
y＝Du
and step 3: finding out the serial number of a failure driver and the serial number of a photon-lacking aperture in the self-adaptive optical system, and determining diagonal switch arrays M and N according to the serial numbers and the layout relation of the driver and the photon-lacking aperture, wherein M and N are determined by the number of sensor sub-apertures and the number of drivers, and diagonal element values are determined by the serial number of the photon-lacking aperture and the serial number of the failure driver;
and 4, step 4: let D ' be MDN, and solve generalized inverse matrix D ' for matrix D '+If the system processed recovery matrix R is the generalized inverse matrix D'+Reflecting the mapping relation between the slope and the voltage;
and 5: the restoration matrix R is substituted into the system and the residual voltage is calculated.
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