XNAV/CNS Integrated Navigation Based on Improved Kinematic and Static Filter

Wang, Yidi; Zheng, Wei; An, Xueyin; Sun, Sashuang; Li, Li

doi:10.1017/s0373463313000301

Cited by 30 publications

(18 citation statements)

References 12 publications

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“…Considering that the filtering period is longer than the observation time required for the selected four pulsars to achieve the Cramér-Rao lower bound (CRLB) and to account for other un-modeled error sources, the noise levels of Δtruep^ and Δtruef^ are set as two times the square-root of CRLB. The covariance matrix of the process noise is diagfalse[q12,q12,q12,q22,q22,q22false], where q1=2 × 10−5 normalm and q2=6 × 10−4 m/s [10]. The measurement update period is set as 120 s. The initial position and velocity errors of spacecraft are respectively [100 km, 100 km, 100 km] and [100 m/s, 100 m/s, 200 m/s] and the covariance of the initial state is diagfalse[q32,q32,q32,q42,q42,q52false], where q3=100 km, …”

Section: Photon-level Simulations and Discussionmentioning

confidence: 99%

“…Unlike some current applications for spacecraft navigation, such as Deep Space Network and Global Navigation Satellite System, which suffer from low performance outside their effective coverage and rely extensively on ground-based operations, the XPNAV has the same accuracy throughout the solar system and has much more autonomy [7,8]. It can also be used to augment the current navigation systems to improve their performance by introducing pulsar measurements [9,10].…”

Section: Introductionmentioning

confidence: 99%

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X-Ray Pulsar-Based Navigation Considering Spacecraft Orbital Motion and Systematic Biases

Meng

Shi

Guo

et al. 2019

Sensors

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The accuracy of X-ray pulsar-based navigation is greatly affected by the Doppler effect caused by the spacecraft orbital motion and the systematic biases introduced by the pulsar directional error, spacecraft-borne clock error, etc. In this paper, an innovative navigation method simultaneously employing the pulse phase (PP), the difference of two neighbor PPs (DPP) and the Doppler frequency (DF) of X-ray pulsars as measurements is proposed to solve this problem. With the aid of the spacecraft orbital dynamics, a single pair of PP and DF relative to the spacecraft’s state estimation error can be estimated by using the joint probability density function of the arrival photon timestamps as the likelihood function. The systematic biases involved to the PP is proved to be nearly invariant over two adjacent navigation periods and the major part of it is eliminated in the DPP; therefore, the DPP is also exploited as additional navigation measurement to weaken the impact of systematic biases on navigation accuracy. Results of photon-level simulations show that the navigation accuracy of the proposed method is remarkably better than that of the method only using PP, the method using both PP and DF and the method using both PP and DPP for Earth orbit.

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Section: Photon-level Simulations and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

X-Ray Pulsar-Based Navigation Considering Spacecraft Orbital Motion and Systematic Biases

Meng

Shi

Guo

et al. 2019

Sensors

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“…An overview of the work that had been done on pulsar navigation is provided in [5]. Researchers have also studied many X‐ray pulsar navigation algorithms [6–11].…”

Section: Introductionmentioning

confidence: 99%

“…In fact, there is only one integration time for different pulsars (i.e. the synchronous observation model) in the literature [6–11]. To ensure that every pulsar has an available profile, the integration time has to choose the longest one among all the selected pulsars, and it results in a low data update rate of measurements and low navigation accuracy.…”

Section: Introductionmentioning

confidence: 99%

X‐ray pulsar navigation using multiple detectors based on a new observation strategy

Guo

Sun

Xue

2018

IET Radar, Sonar & Navigation

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“…12 Currently, it has become a popular research topic. [13][14][15] In the XNAV system, the measurement model can be approximately linear, while the state transfer model is nonlinear. Based on this condition, the observability matrices constructed by the PWCS and the Lie algebra-based methods are equal and constant.…”

Section: Introductionmentioning

confidence: 99%

Fractional differentiation-based observability analysis method for nonlinear X-ray pulsar navigation system

Liu

Fang

Liu

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part G:

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In the traditional observability analysis methods, only current and a few historical measurement values are considered. For the linear systems, the satisfactory analysis results can be obtained. However, for the nonlinear systems, the analysis results are not completely in accordance with the navigation errors since the high-order nonlinearity of the navigation system is not embodied on the observability matrix. In order to solve this problem, a fractional differentiation-based observability analysis method is developed. Considering the fact that the fractional differentiation with respect to time is characterized by long-term memory effects, the fractional derivative of the measurement model with respect to time is considered. By this means, more historical measurement data can be exploited. And then the fractional differentiationbased observability matrix, which reflects the high-order nonlinearity of the navigation system, is constructed. Finally, as the condition number is not directly proportional to the positioning error, to evaluate the navigation performance, the exponent weighted condition number is developed, where small condition numbers have large weight. The simulation results demonstrate that the fractional differentiation-based observability analysis method is sensitive to the orbital elements in the nonlinear X-ray pulsar navigation system, and has small calculation load. In addition, compared to the traditional observability analysis methods, it is observed that its analysis result matches well with the X-ray pulsar navigation performance.

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XNAV/CNS Integrated Navigation Based on Improved Kinematic and Static Filter

Cited by 30 publications

References 12 publications

X-Ray Pulsar-Based Navigation Considering Spacecraft Orbital Motion and Systematic Biases

X-Ray Pulsar-Based Navigation Considering Spacecraft Orbital Motion and Systematic Biases

X‐ray pulsar navigation using multiple detectors based on a new observation strategy

Fractional differentiation-based observability analysis method for nonlinear X-ray pulsar navigation system

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