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Volumn 40, Issue 5, 2010, Pages 1205-1218

State estimation using interval analysis and belief-function theory: Application to dynamic vehicle localization

Author keywords

Bounded error estimation (BEE); data fusion; DempsterShafer (DS) theory; evidence theory; interval analysis; localization; state estimation

Indexed keywords

DEMPSTER-SHAFER THEORY; ERROR ESTIMATIONS; EVIDENCE THEORIES; INTERVAL ANALYSIS; LOCALIZATION;

EID: 77956672877     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2009.2035707     Document Type: Article
Times cited : (48)

References (47)
  • 1
    • 39549117978 scopus 로고    scopus 로고
    • Box particle filtering for nonlinear state estimation using interval analysis
    • Mar.
    • F. Abdallah, A. Gning, and P. Bonnifait, "Box particle filtering for nonlinear state estimation using interval analysis," Automatica, vol.44, no.3, pp. 807-815, Mar. 2008.
    • (2008) Automatica , vol.44 , Issue.3 , pp. 807-815
    • Abdallah, F.1    Gning, A.2    Bonnifait, P.3
  • 2
    • 0036475447 scopus 로고    scopus 로고
    • A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking
    • Feb.
    • M. S. Arulampalam, S. Maskell, N. Gordon, and T. Clapp, "A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking," IEEE Trans. Signal Process., vol.50, no.2, pp. 174-188, Feb. 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.2 , pp. 174-188
    • Arulampalam, M.S.1    Maskell, S.2    Gordon, N.3    Clapp, T.4
  • 3
    • 16244375553 scopus 로고    scopus 로고
    • Sensor based robot localisation and navigation: Using interval analysis and Extended Kalman filter
    • 2004 5th Asian Control Conference
    • I. Ashokaraj, A. Tsourdos, P. Silson, and B. White, "Sensor based robot localisation and navigation: Using interval analysis and extended Kalman filter," in Proc. 5th ASCC, Melbourne, Australia, 2004, pp. 1086-1093. (Pubitemid 40455933)
    • (2004) 2004 5th Asian Control Conference , vol.2 , pp. 1086-1093
    • Ashokaraj, I.1    Tsourdos, A.2    Silson, P.3    White, B.4
  • 5
    • 33750306703 scopus 로고    scopus 로고
    • Practical representations of incomplete probabilistic knowledge
    • Nov.
    • C. Baudrit and D. Dubois, "Practical representations of incomplete probabilistic knowledge," Comput. Stat. Data Anal., vol.51, no.1, pp. 86-108, Nov. 2006.
    • (2006) Comput. Stat. Data Anal. , vol.51 , Issue.1 , pp. 86-108
    • Baudrit, C.1    Dubois, D.2
  • 6
    • 0015049633 scopus 로고
    • Recursive state estimation for a setmembership description of uncertainty
    • Apr.
    • D. P. Bertsekas and I. B. Rhodes, "Recursive state estimation for a setmembership description of uncertainty," IEEE Trans. Autom. Control, vol.AC-16, no.2, pp. 117-128, Apr. 1971.
    • (1971) IEEE Trans. Autom. Control , vol.AC-16 , Issue.2 , pp. 117-128
    • Bertsekas, D.P.1    Rhodes, I.B.2
  • 9
    • 0023596142 scopus 로고
    • Logical arithmetic
    • J. G. Cleary, "Logical arithmetic," Future Comput. Syst., vol.2, no.2, pp. 125-149, 1987.
    • (1987) Future Comput. Syst. , vol.2 , Issue.2 , pp. 125-149
    • Cleary, J.G.1
  • 10
    • 0023386175 scopus 로고
    • Constraint propagation with interval labels
    • Jul.
    • E. Davis, "Constraint propagation with interval labels," Artif. Intell., vol.32, no.3, pp. 281-331, Jul. 1987.
    • (1987) Artif. Intell. , vol.32 , Issue.3 , pp. 281-331
    • Davis, E.1
  • 11
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • A. P. Dempster, "Upper and lower probabilities induced by a multivalued mapping," Ann. Math. Stat., vol.38, no.2, pp. 325-339, 1967.
    • (1967) Ann. Math. Stat. , vol.38 , Issue.2 , pp. 325-339
    • Dempster, A.P.1
  • 12
    • 33947167514 scopus 로고    scopus 로고
    • Normal belief functions and the Kalman filter
    • A. K. M. E. Saleh, Ed. Commack, NY: Nova
    • A. P. Dempster, "Normal belief functions and the Kalman filter," in Data Analysis From Statistical Foundations, A. K. M. E. Saleh, Ed. Commack, NY: Nova, 2001, pp. 65-84.
    • (2001) Data Analysis from Statistical Foundations , pp. 65-84
    • Dempster, A.P.1
  • 13
    • 0001127944 scopus 로고    scopus 로고
    • Inner and outer approximation of belief structures using a hierarchical clustering approach
    • Aug.
    • T. Denoeux, "Inner and outer approximation of belief structures using a hierarchical clustering approach," Int. J. Uncertain. Fuzziness Knowl.-Based Syst., vol.9, no.4, pp. 437-460, Aug. 2001.
    • (2001) Int. J. Uncertain. Fuzziness Knowl.-Based Syst. , vol.9 , Issue.4 , pp. 437-460
    • Denoeux, T.1
  • 14
    • 0036786963 scopus 로고    scopus 로고
    • Approximating the combination of belief functions using the fast Möbius transform in a coarsened frame
    • Oct.
    • T. Denoeux and A. Ben Yaghlane, "Approximating the combination of belief functions using the fast Möbius transform in a coarsened frame," Int. J. Approx. Reason., vol. 31, no. 1/2, pp. 77-101, Oct. 2002.
    • (2002) Int. J. Approx. Reason. , vol.31 , Issue.1-2 , pp. 77-101
    • Denoeux, T.1    Ben Yaghlane, A.2
  • 15
    • 0001460136 scopus 로고    scopus 로고
    • On sequential Monte-Carlo sampling methods for Bayesian filtering
    • Jul.
    • A. Doucet, S. Godsill, and C. Andrieu, "On sequential Monte-Carlo sampling methods for Bayesian filtering," Stat. Comput., vol.10, no.3, pp. 197-208, Jul. 2000.
    • (2000) Stat. Comput. , vol.10 , Issue.3 , pp. 197-208
    • Doucet, A.1    Godsill, S.2    Andrieu, C.3
  • 16
    • 84963165563 scopus 로고
    • A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets
    • May
    • D. Dubois and H. Prade, "A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets," Int. J. Gen. Syst., vol.12, no.3, pp. 193-226, May 1986.
    • (1986) Int. J. Gen. Syst. , vol.12 , Issue.3 , pp. 193-226
    • Dubois, D.1    Prade, H.2
  • 18
    • 1542559499 scopus 로고    scopus 로고
    • Constructing probability boxes and Dempster-Shafer structures
    • Albuquerque, NM, Tech. Rep. SAND2002-4015
    • S. Ferson, V. Kreinovitch, L. Ginzburg, D. S. Myers, and K. Sentz, "Constructing probability boxes and Dempster-Shafer structures," Sandia Nat. Lab., Albuquerque, NM, Tech. Rep. SAND2002-4015, 2003.
    • (2003) Sandia Nat. Lab.
    • Ferson, S.1    Kreinovitch, V.2    Ginzburg, L.3    Myers, D.S.4    Sentz, K.5
  • 19
    • 0344445520 scopus 로고    scopus 로고
    • Adapting the sample size in particle filters through KLDsampling
    • D. Fox, "Adapting the sample size in particle filters through KLDsampling," Int. J. Robot. Res., vol.22, no.12, pp. 985-1004, 2003.
    • (2003) Int. J. Robot. Res. , vol.22 , Issue.12 , pp. 985-1004
    • Fox, D.1
  • 21
    • 33846157177 scopus 로고    scopus 로고
    • Dynamic vehicle localization using constraints propagation techniques on intervals. A comparison with Kalman filtering
    • A. Gning and P. Bonnifait, "Dynamic vehicle localization using constraints propagation techniques on intervals. A comparison with Kalman filtering," in Proc. IEEE Int. Conf. Robot. Autom., 2005, pp. 4144-4149.
    • (2005) Proc. IEEE Int. Conf. Robot. Autom. , pp. 4144-4149
    • Gning, A.1    Bonnifait, P.2
  • 22
    • 33646799133 scopus 로고    scopus 로고
    • Constraints propagation techniques on intervals for a guaranteed localization using redundant data
    • Jul.
    • A. Gning and P. Bonnifait, "Constraints propagation techniques on intervals for a guaranteed localization using redundant data," Automatica, vol.42, no.7, pp. 1167-1175, Jul. 2006.
    • (2006) Automatica , vol.42 , Issue.7 , pp. 1167-1175
    • Gning, A.1    Bonnifait, P.2
  • 24
    • 0036604583 scopus 로고    scopus 로고
    • Nonlinear bounded-error state estimation of continuous-time systems
    • Jun.
    • L. Jaulin, "Nonlinear bounded-error state estimation of continuous-time systems," Automatica, vol.38, no.6, pp. 1079-1082, Jun. 2002.
    • (2002) Automatica , vol.38 , Issue.6 , pp. 1079-1082
    • Jaulin, L.1
  • 25
    • 0035895098 scopus 로고    scopus 로고
    • Guaranteed nonlinear estimation using constraint propagation on sets
    • Dec.
    • L. Jaulin, M. Kieffer, I. Braems, and E. Walter, "Guaranteed nonlinear estimation using constraint propagation on sets," Int. J. Control, vol.74, no.18, pp. 1772-1782, Dec. 2001.
    • (2001) Int. J. Control , vol.74 , Issue.18 , pp. 1772-1782
    • Jaulin, L.1    Kieffer, M.2    Braems, I.3    Walter, E.4
  • 27
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • R. E. Kalman, "A new approach to linear filtering and prediction problems," Trans. AMSE, J. Basic Eng., vol.82, no.1, pp. 35-45, 1960.
    • (1960) Trans. AMSE, J. Basic Eng. , vol.82 , Issue.1 , pp. 35-45
    • Kalman, R.E.1
  • 28
    • 0032280843 scopus 로고    scopus 로고
    • Guaranteed recursive nonlinear state estimation using interval analysis
    • Tampa, FL
    • M. Kieffer, L. Jaulin, and E.Walter, "Guaranteed recursive nonlinear state estimation using interval analysis," in Proc. 37th IEEE Conf. Decision Control, Tampa, FL, 1998, pp. 3966-3971.
    • (1998) Proc. 37th IEEE Conf. Decision Control , pp. 3966-3971
    • Kieffer, M.1    Jaulin, L.2    Walter, E.3
  • 30
    • 85168891634 scopus 로고
    • A framework for evidential-reasoning systems
    • T. Kehler and S. Rosenschein, Eds., Philadelphia, PA, Aug.
    • J. D. Lowrance, T. D. Garvey, and T. M. Strat, "A framework for evidential-reasoning systems," in Proc. AAAI, T. Kehler and S. Rosenschein, Eds., Philadelphia, PA, Aug. 1986, vol.2, pp. 896-903.
    • (1986) Proc. AAAI , vol.2 , pp. 896-903
    • Lowrance, J.D.1    Garvey, T.D.2    Strat, T.M.3
  • 31
    • 33847171577 scopus 로고    scopus 로고
    • Can the Bayesian and Dempster-Shafer approaches be reconciled? Yes
    • R. Mahler, "Can the Bayesian and Dempster-Shafer approaches be reconciled? Yes," in Proc. 8th Int. Conf. Inform. Fusion, 2005, pp. 864-871.
    • (2005) Proc. 8th Int. Conf. Inform. Fusion , pp. 864-871
    • Mahler, R.1
  • 32
    • 0030284255 scopus 로고    scopus 로고
    • State bounding with ellipsoidal set description of the uncertainty
    • Nov.
    • D. Maksarov and J. P. Norton, "State bounding with ellipsoidal set description of the uncertainty," Int. J. Control, vol.65, no.5, pp. 847-866, Nov. 1996.
    • (1996) Int. J. Control , vol.65 , Issue.5 , pp. 847-866
    • Maksarov, D.1    Norton, J.P.2
  • 35
    • 0242490050 scopus 로고    scopus 로고
    • Nonparametric regression analysis of uncertain and imprecise data using belief functions
    • Jan.
    • S. Petit-Renaud and T. Denoeux, "Nonparametric regression analysis of uncertain and imprecise data using belief functions," Int. J. Approx. Reason., vol.35, no.1, pp. 1-28, Jan. 2004.
    • (2004) Int. J. Approx. Reason. , vol.35 , Issue.1 , pp. 1-28
    • Petit-Renaud, S.1    Denoeux, T.2
  • 36
    • 1542505007 scopus 로고    scopus 로고
    • Equivalence of methods for uncertainty propagation of real-valued random variables
    • Apr.
    • H. M. Regan, S. Ferson, and D. Berleant, "Equivalence of methods for uncertainty propagation of real-valued random variables," Int. J. Approx. Reason., vol.36, no.1, pp. 1-30, Apr. 2004.
    • (2004) Int. J. Approx. Reason. , vol.36 , Issue.1 , pp. 1-30
    • Regan, H.M.1    Ferson, S.2    Berleant, D.3
  • 37
    • 0002913297 scopus 로고
    • Recursive state estimation: Unknown but bounded errors and system inputs
    • Feb.
    • F. Schweppe, "Recursive state estimation: Unknown but bounded errors and system inputs," IEEE Trans. Autom. Control, vol.AC-13, no.1, pp. 22-28, Feb. 1968.
    • (1968) IEEE Trans. Autom. Control , vol.AC-13 , Issue.1 , pp. 22-28
    • Schweppe, F.1
  • 38
    • 0019558226 scopus 로고
    • Recursive estimation in the presence of uniformly distributed measurement noise
    • Apr.
    • L. Servi and Y. C. Ho, "Recursive estimation in the presence of uniformly distributed measurement noise," IEEE Trans. Autom. Control, vol.AC-26, no.2, pp. 563-565, Apr. 1981.
    • (1981) IEEE Trans. Autom. Control , vol.AC-26 , Issue.2 , pp. 563-565
    • Servi, L.1    Ho, Y.C.2
  • 40
    • 0028406490 scopus 로고
    • The transferable belief model
    • Apr.
    • P. Smets and R. Kennes, "The transferable belief model," Artif. Intell., vol.66, no.2, pp. 191-234, Apr. 1994.
    • (1994) Artif. Intell. , vol.66 , Issue.2 , pp. 191-234
    • Smets, P.1    Kennes, R.2
  • 41
    • 33751023755 scopus 로고    scopus 로고
    • Kalman filter and joint tracking and classification based on belief functions in the TBM framework
    • Jan.
    • P. Smets and B. Ristic, "Kalman filter and joint tracking and classification based on belief functions in the TBM framework," Inform. Fusion, vol.8, no.1, pp. 16-27, Jan. 2007.
    • (2007) Inform. Fusion , vol.8 , Issue.1 , pp. 16-27
    • Smets, P.1    Ristic, B.2
  • 42
    • 0002680003 scopus 로고
    • Generating semantic descriptions from drawings of scenes with shadows
    • P. H. Winston, Ed. New York: McGraw-Hill
    • D.Waltz, "Generating semantic descriptions from drawings of scenes with shadows," in The Psychology of Computer Vision, P. H. Winston, Ed. New York: McGraw-Hill, 1975, pp. 19-91.
    • (1975) The Psychology of Computer Vision , pp. 19-91
    • Waltz, D.1
  • 43
    • 0000543576 scopus 로고
    • Sets of possible states of linear systems given perturbed observations
    • Oct.
    • H. S. Witsenhausen, "Sets of possible states of linear systems given perturbed observations," IEEE Trans. Autom. Control, vol.AC-13, no.5, pp. 556-558, Oct. 1968.
    • (1968) IEEE Trans. Autom. Control , vol.AC-13 , Issue.5 , pp. 556-558
    • Witsenhausen, H.S.1
  • 44
    • 0022796815 scopus 로고
    • Arithmetic and other operations on Dempster-Shafer structures
    • Oct.
    • R. R. Yager, "Arithmetic and other operations on Dempster-Shafer structures," Int. J. Man-Mach. Stud., vol.25, no.4, pp. 357-366, Oct. 1986.
    • (1986) Int. J. Man-Mach. Stud. , vol.25 , Issue.4 , pp. 357-366
    • Yager, R.R.1
  • 45
    • 4844225945 scopus 로고    scopus 로고
    • Cumulative distribution functions from Dempster-Shafer belief structures
    • Oct.
    • R. R. Yager, "Cumulative distribution functions from Dempster-Shafer belief structures," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol.34, no.5, pp. 2080-2087, Oct. 2004.
    • (2004) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.34 , Issue.5 , pp. 2080-2087
    • Yager, R.R.1
  • 47
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • Jan.
    • L. A. Zadeh, "Fuzzy sets as a basis for a theory of possibility," Fuzzy Sets Syst., vol.1, no.1, pp. 3-28, Jan. 1978.
    • (1978) Fuzzy Sets Syst. , vol.1 , Issue.1 , pp. 3-28
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.