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Adaptive Interplanetary Navigation Using Genetic Algorithms

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Abstract

This study illustrates an automated approach for filter tuning (via model optimization) using a genetic algorithm (GA) coupled with an extended Kaiman filter. In particular, the solar radiation pressure (SRP) model of the Mars Pathfinder (MPF) spacecraft is investigated using a three month span of tracking data during the cruise phase of the mission. The results obtained in this study are compared to the best model obtained by the MPF navigation team. The GA based approach does not require gradient information about neighboring model options, hence it is capable of examining filter models of varying structure. The GA operates on a population of individuals that are selected (initially at random) from the design space. In this study, the selected design space includes 1.44E+17 possible SRP models. Each individual selected from the design space processes the tracking data set using the filter. The basis for the GA’s fitness function is a normalized sample statistic of the output residual sequence. Using the fitness values computed for each individual, the GA selects the parent population via a tournament method. For crossover, several strategies are investigated to determine the best method for quick convergence of the GA to a near optimal solution. The results show that the GA is able to determine an SRP model with a fitness value that is ~6% better than the model selected by the MPF navigation team, and produces predicted residuals that are more stable.

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References

  1. KALLEMEYN, P. D., VAUGHN R. M., SPENCER D. A., and BRAUN, R. D. “Mars Pathfinder Navigation Report,” Jet Propulsion Interoffice Memorandum, 312.A/98-030 (Internal Document), January 9, 1998.

  2. MAGILL, D. T. “Optimal Adaptive Estimation of Sampled Stochastic Processes,” IEEE Transactions on Automatic Control, Vol. AC-10, No. 4, Oct. 1965, pp. 434–439.

    Article  MathSciNet  Google Scholar 

  3. CHAER, W., BISHOP, R. H., and GHOSH J. “Hierarchical Adaptive Kaiman Filtering for Interplanetary Orbit Determination,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 34, No. 3, 1998, pp. 1–14.

    Article  Google Scholar 

  4. BURKHART, P. D. and BISHOP, R. H. “Adaptive Orbit Determination for Interplanetary Spacecraft,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 19, No. 3, 1996, pp. 693–701.

    Article  Google Scholar 

  5. MAYBECK, P. S. Stochastic Models, Estimation, and Control, Vol I. Academic Press, 1979.

  6. POWELL, T. D. “Automated Tuning of an Extended Kaiman Filter Using the Downhill Simplex Algorithm,” Paper AAS 99-368, AAS/AIAA Astrodynamics Specialist Conference, Girdwood, Alaska, 16–19 August 1999.

  7. CHAER, W. A., BISHOP, R. H., and GHOSH, J. “A Mixture-of-Experts Framework for Adaptive Kaiman Filtering,” IEEE Transactions on Systems, Man, and Cybernetics, Part B Cybernetics, Vol. 27, No. 3, June 1997, pp. 452–455.

    Article  Google Scholar 

  8. CHAER, W. S. and BISHOP, R. H. “Adaptive Kaiman Filtering with Genetic Algorithms,” Advances in the Astronautical Sciences, eds. R. J. Proulx et al., Vol. 89, pp. 141–155, 1995.

  9. CROSSLEY, W. A. “Using Genetic Algorithms as an Automated Methodology for Conceptual Design of Rotorcraft,” Ph.D. Dissertation, Arizona State University, Tempe, AZ, Aug. 1995.

  10. GOLDBERG, D. E. Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, 1989.

  11. WEISSTEIN, E. Eric Weisstein’s World of Mathematics, http://mathworld.wolfram.com/Gray-Code.html.

  12. CROSSLEY, W. A. “Class Notes AAE590G Multidisciplinary Design Optimization in Aerospace Engineering,” Purdue University, Spring 1997.

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Ely, T.A., Bishop, R.H. & Crain, T.P. Adaptive Interplanetary Navigation Using Genetic Algorithms. J of Astronaut Sci 48, 287–303 (2000). https://doi.org/10.1007/BF03546281

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