Optimization of a Strapdown Attitude Algorithm for a Stochastic Motion

Gusinsky, Valery Z.; Lesyuchevsky, Vladmir M.; Litmanovich, Yu. A.; Musoff, Howard; Schmidt, G.

doi:10.1002/j.2161-4296.1997.tb02340.x

Cited by 6 publications

(2 citation statements)

References 5 publications

(2 reference statements)

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“…Panov derived the optimized attitude solving algorithm according to the Miller method under certain generalized angular precession [11]. Inspired by Miller, Gusinsky et al gave a new derivation method for the attitude solving algorithm, which only needs to know the analytical expression of the angular velocity of the carrier [12], [13]. Savage gave a classic two-speed attitude update algorithm, the medium speed algorithm uses the direction cosine matrix update method, and the high speed algorithm is a simplified equivalent rotation vector algorithm [5], [14].…”

Section: And Lin Introduced Thementioning

confidence: 99%

A Method Converting Cone Into Sculling Algorithm for Strapdown Inertial Navigation System

et al. 2019

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The cone error compensation algorithm and the sculling error compensation algorithm are two important components of the inertial navigation algorithm. At present, scholars have done a lot of research on cone error compensation, and have proposed many cone error compensation algorithms, but there are few studies on the compensation of the sculling error. So for this problem, this paper proposes a new operation method, which can convert the cone error compensation algorithm into the corresponding sculling error compensation algorithm with simple calculation. Taking four classical cone error algorithms as examples, we give the conversion process and conversion results. The conversion results are exactly the same as the derivation error compensation algorithms given by the derivation, which proves the effectiveness of the proposed method. The method avoids the complicated derivation process of the traditional sculling error compensation algorithm, significantly reduces the amount of calculation, and has strong engineering practical significance.INDEX TERMS Cone algorithm, sculling algorithm, transformation method, strapdown inertial navigation system.

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Section: And Lin Introduced Thementioning

confidence: 99%

A Method Converting Cone Into Sculling Algorithm for Strapdown Inertial Navigation System

et al. 2019

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“…The method of optimizing algorithms for regular precession and conic motion which is based on minimizing asymptotic estimations of computational drift error was presented in [25]. The papers [8][9][10]12,20,21,23,[31][32][33] discuss improved methods for optimization of orientation algorithms and present the results of research on algorithm optimization under conditions of generalized conical motion, regular precession, random angular motion, and practical issues of effective use of algorithms, including for a specific structure of SINS. Analytical reference models that differ from cases of regular precession and conic motion are presented in [14,15].…”

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confidence: 99%

Closed-form quaternion representations for rigid body rotation: application to error assessment in orientation algorithms of strapdown inertial navigation systems

Plaksiy

Breslavsky

Homozkova

et al. 2020

Continuum Mech. Thermodyn.

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Closed-form analytical representations of the rigid body orientation quaternion, angular velocity vector and the external moment vector satisfying kinematic equations and equations of motion are derived. In order to analyze errors of orientation algorithms for strapdown inertial navigation systems, reference models for specific rigid body rotation cases are formulated. Based on solutions, analytical expressions for ideal signals of angular velocity sensors in the form of quasi-coordinates are derived. For several sets of parameters, numerical implementations of the reference models are performed and trajectories in the configuration space of orientation parameters are presented. Numerical analysis of the drift error for the third-order orientation algorithm is performed. The results show that the value of the accumulated drift error using the derived two-frequency models exceeds the value of the accumulated drift error in the conventional case of a regular precession.

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Duality of Optimal Strapdown Sculling and Coning Compensation Algorithms

Ignagni

1998

Navigation

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This paper addresses the design of optimal algorithms for the sculling compensation applied in strapdown inertial systems. A class of optimized algorithms for the sculling compensation is derived and evaluated for three dynamic environments: a pure sculling environment, a benign environment, and a generalized vibrational environment. The resultant class of optimized sculling algorithms is shown to manifest an interesting duality property when compared with a class of optimized coning compensation algorithms previously derived, in both algorithm structure and the algorithm errors incurred in the three dynamic environments considered.

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Optimization of a Strapdown Attitude Algorithm for a Stochastic Motion

Cited by 6 publications

References 5 publications

A Method Converting Cone Into Sculling Algorithm for Strapdown Inertial Navigation System

A Method Converting Cone Into Sculling Algorithm for Strapdown Inertial Navigation System

Closed-form quaternion representations for rigid body rotation: application to error assessment in orientation algorithms of strapdown inertial navigation systems

Duality of Optimal Strapdown Sculling and Coning Compensation Algorithms

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