A Novel Algorithm for Optimal Placement of Multiple Inertial Sensors to Improve the Sensing Accuracy

Sahu, Nitesh; Babu, Prabhu; Kumar, Arun; Bahl, Rajendar

doi:10.1109/tsp.2019.2957639

Cited by 18 publications

(16 citation statements)

References 16 publications

(26 reference statements)

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“…If there exists some (ε * , η * ) ∈ S 1 × S 2 , satisfying Formula ( 14), then (ε * , η * ) is the Nash equilibrium solution of the gain matrix, and Λ(ε * , η * ) is the value of the gain matrix in the sense of hybrid strategy [36][37][38].…”

Section: Calculation Of the Nash Equilibrium Solution Of The Damage G...mentioning

confidence: 99%

A Mathematical Modeling Approach of Target Damage Strategy on the Intersection Confrontation

Zhang

Chen

2022

Mathematics

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The efficiency of target damage is to measure the effect of projectile attacks. Because there is antagonism at the intersection of projectiles and targets, it is very difficult to establish scientific damage assessment strategy model and a numerical calculation method. To scientifically evaluate the target damage effect when the projectile attacks the aircraft target, this paper introduces a game confrontation mechanism and proposes a numerical calculation method of aircraft target damage game strategy under the intersection confrontation. According to the theory of two-person non-cooperative games, the projectile is regarded as one of the players in the confrontation damage game, and the aircraft target is regarded as the other player. The damage gain model and gain function of the intersection confrontation of both sides are established. The effective expectation function and the minimum and maximum theorem are used to obtain the optimal Nash equilibrium solution of the game matrix strategy, and the Nash equilibrium point of the strategy space set is derived. Through calculation and comparative analysis, the results show that the optimal gain degree composed of the damage strategy selected by both the projectile and aircraft target under the Nash equilibrium solution brings the greatest gain. The proposed hybrid game strategy of damage assessment can be an effective reference for air combat decision making in the state of intersection confrontation.

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Section: Calculation Of the Nash Equilibrium Solution Of The Damage G...mentioning

confidence: 99%

A Mathematical Modeling Approach of Target Damage Strategy on the Intersection Confrontation

Zhang

Chen

2022

Mathematics

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“…The authors in [11] have proposed the configuration of sensors in which the orientation of sensors provides the best navigation performance and location of sensors minimizes the lever arm effect; optimal orientation has been determined considering the maximum eigenvalue of the estimation error covariance matrix as the FOM. In [12], an optimization algorithm has been proposed to compute the optimal configuration of inertial sensors, considering sensors of different accuracies and noise in sensors correlated, which is a generalized approach to determine the optimal configuration. The authors in [13] have proposed a configuration design method based on the KL-divergence that ensures the optimal accuracy as well as the reliability of the system and enhances the fault diagnosis capability of the system.…”

Section: Introductionmentioning

confidence: 99%

“…(a) Proposed an algorithm to solve the A-optimal problem in (12). (b) Proposed an algorithm to solve the D-optimal problem in (13).…”

Section: Introductionmentioning

confidence: 99%

Optimally adding additional inertial sensors to an initial configuration of sensors to maximize the sensing accuracy

Sahu¹,

Babu²,

Kumar³

et al. 2021

Meas. Sci. Technol.

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In this paper, we solve the problem of optimally adding additional inertial sensors to any known initial configuration of inertial sensors. The initial known configuration may be the optimal configuration or any random configuration of sensors. In this problem, we do not change the initial configuration of sensors, instead we determine the optimal orientations of the sensors which are to be added. We have posed this problem as an optimization problem and proposed a novel method to solve this optimization problem. The proposed method is based on the majorization-minimization procedure. The proposed method has been implemented and tested via numerical simulations in MATLAB. The simulation results show that the proposed method converges to the optimal solution and hence determines the optimal orientations for the sensors which are added to any known configuration of the sensors.

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“…At present, the configurations are designed based on two indices [10][11][12]: the mean time between faults (MTBF) [13] and the geometric dilution of precision (GDOP) [9]. The minimum sensor quantity can be calculated according to MTBF, and the condition of the optimal accuracy can be derived from GDOP.…”

Section: Introductionmentioning

confidence: 99%

A configuration design method for a redundant inertial navigation system based on diagnosability analysis

Wang

Mu³

et al. 2020

Meas. Sci. Technol.

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Redundant design can improve the performance of an inertial navigation system, and the configuration is an important factor in determining the accuracy and reliability of the redundant inertial navigation system. As well as the sensor quantity and the reliability of single sensors, the reliability of the redundant inertial navigation system also depends on the capability of the fault diagnosis, which has been neglected in much of the previous research. This paper verifies that configurations designed using the previous method cannot maintain optimal performance in fault diagnosis. To optimize the performance in fault detection and isolation through the configuration design, an evaluation function for fault detectability and isolability is proposed based on Kullback–Leibler divergence. On this basis, the inherent diagnosability analysis method is proposed, and the configuration design method is developed with the analysis results. Simulation experiments prove that the proposed diagnosability analysis method can find the defects in the fault detection and isolation, and the diagnosability can be assessed correctly. Configurations designed using the proposed methodensure the optimal accuracy and reliability of the system, and effectively improve the fault diagnosis ability, too.

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A Novel Algorithm for Optimal Placement of Multiple Inertial Sensors to Improve the Sensing Accuracy

Cited by 18 publications

References 16 publications

A Mathematical Modeling Approach of Target Damage Strategy on the Intersection Confrontation

A Mathematical Modeling Approach of Target Damage Strategy on the Intersection Confrontation

Optimally adding additional inertial sensors to an initial configuration of sensors to maximize the sensing accuracy

A configuration design method for a redundant inertial navigation system based on diagnosability analysis

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