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Volumn 4, Issue 8, 2010, Pages 1303-1318

Kalman filtering with state constraints: A survey of linear and nonlinear algorithms

Author keywords

[No Author keywords available]

Indexed keywords

BEST LINEAR ESTIMATOR; CLOSED FORM; CONSTRAINED FILTERING; FILTERING PERFORMANCE; GAUSSIAN NOISE; INEQUALITY CONSTRAINT; KALMAN-FILTERING; LINEAR DYNAMIC SYSTEM; NON-GAUSSIAN; NONLINEAR ALGORITHMS; OPTIMAL STATE; PARTICLE FILTER; STATE CONSTRAINTS; STATE ESTIMATES; STATE ESTIMATORS; UNSCENTED KALMAN FILTER;

EID: 77955824141     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2009.0032     Document Type: Article
Times cited : (813)

References (59)
  • 1
    • 0015204057 scopus 로고
    • A tutorial introduction to estimation and filtering
    • 0018-9286
    • Rhodes, I.: ' A tutorial introduction to estimation and filtering ', IEEE Trans. Autom. Control, 1971, AC-16, (6), p. 688-706 0018-9286
    • (1971) IEEE Trans. Autom. Control , vol.16 , Issue.6 , pp. 688-706
    • Rhodes, I.1
  • 3
    • 21244437999 scopus 로고    scopus 로고
    • Unscented filtering and nonlinear estimation
    • 0018-9219
    • Julier, S., and Uhlmann, J.: ' Unscented filtering and nonlinear estimation ', Proc. IEEE, 2004, 92, (3), p. 401-422 0018-9219
    • (2004) Proc. IEEE , vol.92 , Issue.3 , pp. 401-422
    • Julier, S.1    Uhlmann, J.2
  • 5
    • 34249794868 scopus 로고    scopus 로고
    • On Kalman filtering with nonlinear equality constraints
    • 1053-587X
    • Julier, S., and LaViola, J.: ' On Kalman filtering with nonlinear equality constraints ', IEEE Trans. Signal Process., 2007, 55, (6), p. 2774-2784 1053-587X
    • (2007) IEEE Trans. Signal Process. , vol.55 , Issue.6 , pp. 2774-2784
    • Julier, S.1    Laviola, J.2
  • 6
    • 33645159686 scopus 로고    scopus 로고
    • Kalman filtering with inequality constraints for Turbofan engine health estimation
    • 10.1049/ip-cta:20050074 1350-2379
    • Simon, D., and Simon, D.L.: ' Kalman filtering with inequality constraints for Turbofan engine health estimation ', IEE Proc. Control Theory Appl., 2006, 153, (3), p. 371-378 10.1049/ip-cta:20050074 1350-2379
    • (2006) IEE Proc. Control Theory Appl. , vol.153 , Issue.3 , pp. 371-378
    • Simon, D.1    Simon, D.L.2
  • 7
    • 15944413431 scopus 로고    scopus 로고
    • Recursive estimation in constrained nonlinear dynamical systems
    • 0001-1541
    • Vachhani, P., Rengaswamy, R., Gangwal, V., and Narasimhan, S.: ' Recursive estimation in constrained nonlinear dynamical systems ', AIChE J., 2005, 51, (3), p. 946-959 0001-1541
    • (2005) AIChE J. , vol.51 , Issue.3 , pp. 946-959
    • Vachhani, P.1    Rengaswamy, R.2    Gangwal, V.3    Narasimhan, S.4
  • 8
    • 0024138264 scopus 로고
    • Optimal combination and constraints for geometrical sensor data
    • 0278-3649
    • Porrill, J.: ' Optimal combination and constraints for geometrical sensor data ', Int. J. Robot. Res., 1988, 7, (6), p. 66-77 0278-3649
    • (1988) Int. J. Robot. Res. , vol.7 , Issue.6 , pp. 66-77
    • Porrill, J.1
  • 9
    • 0027623888 scopus 로고
    • Use of a kinematic constraint in tracking constant speed, maneuvering targets
    • 0018-9286
    • Alouani, A., and Blair, W.: ' Use of a kinematic constraint in tracking constant speed, maneuvering targets ', IEEE Trans. Autom. Control, 1993, 38, (7), p. 1107-1111 0018-9286
    • (1993) IEEE Trans. Autom. Control , vol.38 , Issue.7 , pp. 1107-1111
    • Alouani, A.1    Blair, W.2
  • 10
    • 0036875169 scopus 로고    scopus 로고
    • Filtering method for nonlinear systems with constraints
    • 10.1049/ip-cta:20020799 1350-2379
    • Wang, L., Chiang, Y., and Chang, F.: ' Filtering method for nonlinear systems with constraints ', IEE Proc. Control Theory Appl., 2002, 149, (6), p. 525-531 10.1049/ip-cta:20020799 1350-2379
    • (2002) IEE Proc. Control Theory Appl. , vol.149 , Issue.6 , pp. 525-531
    • Wang, L.1    Chiang, Y.2    Chang, F.3
  • 11
    • 0026157095 scopus 로고
    • Recursive parameter identification of constrained systems: An application to electrically stimulated muscle
    • 0018-9294
    • Chia, T., Chow, P., and Chizek, H.: ' Recursive parameter identification of constrained systems: an application to electrically stimulated muscle ', IEEE Trans. Biomed. Eng., 1991, 38, (5), p. 429-441 0018-9294
    • (1991) IEEE Trans. Biomed. Eng. , vol.38 , Issue.5 , pp. 429-441
    • Chia, T.1    Chow, P.2    Chizek, H.3
  • 13
    • 0036245315 scopus 로고    scopus 로고
    • Kalman filtering with state equality constraints
    • 0018-9251
    • Simon, D., and Chia, T.: ' Kalman filtering with state equality constraints ', IEEE Trans. Aerospace Electron. Syst., 2002, 38, (1), p. 128-136 0018-9251
    • (2002) IEEE Trans. Aerospace Electron. Syst. , vol.38 , Issue.1 , pp. 128-136
    • Simon, D.1    Chia, T.2
  • 14
    • 67651183882 scopus 로고    scopus 로고
    • State estimation for linear and non-linear equality-constrained systems
    • 0020-7179
    • Teixeira, B., Chandrasekar, J., Torres, L., Aguirre, L., and Bernstein, D.: ' State estimation for linear and non-linear equality-constrained systems ', Int. J. Control, 2009, 82, (5), p. 918-936 0020-7179
    • (2009) Int. J. Control , vol.82 , Issue.5 , pp. 918-936
    • Teixeira, B.1    Chandrasekar, J.2    Torres, L.3    Aguirre, L.4    Bernstein, D.5
  • 18
    • 52949096108 scopus 로고    scopus 로고
    • State estimation under nonlinear state inequality constraints. A tracking application
    • 16th, Ajaccio, France
    • Sircoulomb, V., Israel, J., Hoblos, G., Chafouk, H., and Ragot, J.: ' State estimation under nonlinear state inequality constraints. A tracking application ', 16th, Mediterranean Conf. on Control Automation, Ajaccio, France, 2008, p. 1669-1674
    • (2008) Mediterranean Conf. on Control Automation , pp. 1669-1674
    • Sircoulomb, V.1    Israel, J.2    Hoblos, G.3    Chafouk, H.4    Ragot, J.5
  • 19
    • 0003782685 scopus 로고    scopus 로고
    • Hand gesture estimation and model refinement using monocular camera - Ambiguity limitation by inequality constraints
    • Nara, Japan
    • Shimada, N., Shirai, Y., Kuno, Y., and Miura, J.: ' Hand gesture estimation and model refinement using monocular camera - ambiguity limitation by inequality constraints ', IEEE Int. Conf. on Automatic Face Gesture Recognition, Nara, Japan, 1998, p. 268-273
    • (1998) IEEE Int. Conf. on Automatic Face Gesture Recognition , pp. 268-273
    • Shimada, N.1    Shirai, Y.2    Kuno, Y.3    Miura, J.4
  • 20
    • 77951139843 scopus 로고    scopus 로고
    • Constrained Kalman filtering via density function truncation for turbofan engine health estimation
    • 0020-7721
    • Simon, D., and Simon, D.L.: ' Constrained Kalman filtering via density function truncation for turbofan engine health estimation ', Int. J. Syst. Sci., 2010, 41, (2), p. 159-171 0020-7721
    • (2010) Int. J. Syst. Sci. , vol.41 , Issue.2 , pp. 159-171
    • Simon, D.1    Simon, D.L.2
  • 21
    • 34347346004 scopus 로고    scopus 로고
    • State estimation for linear systems with state equality constraints
    • 0005-1098
    • Ko, S., and Bitmead, R.: ' State estimation for linear systems with state equality constraints ', Automatica, 2007, 43, (8), p. 1363-1368 0005-1098
    • (2007) Automatica , vol.43 , Issue.8 , pp. 1363-1368
    • Ko, S.1    Bitmead, R.2
  • 22
    • 65449188730 scopus 로고    scopus 로고
    • Kalman filtering with nonlinear state constraints
    • 0018-9251
    • Yang, C., and Blasch, E.: ' Kalman filtering with nonlinear state constraints ', IEEE Trans. Aeros. Electron. Syst., 2008, 45, (1), p. 70-84 0018-9251
    • (2008) IEEE Trans. Aeros. Electron. Syst. , vol.45 , Issue.1 , pp. 70-84
    • Yang, C.1    Blasch, E.2
  • 25
    • 0035480348 scopus 로고    scopus 로고
    • Constrained linear state estimation - A moving horizon approach
    • 0005-1098
    • Rao, C., Rawlings, J., and Lee, J.: ' Constrained linear state estimation - a moving horizon approach ', Automatica, 2001, 37, (10), p. 1619-1628 0005-1098
    • (2001) Automatica , vol.37 , Issue.10 , pp. 1619-1628
    • Rao, C.1    Rawlings, J.2    Lee, J.3
  • 26
    • 0038165025 scopus 로고    scopus 로고
    • Constrained process monitoring: Moving-horizon approach
    • 0001-1541
    • Rao, C., and Rawlings, J.: ' Constrained process monitoring: moving-horizon approach ', AIChE J., 2002, 48, (1), p. 97-109 0001-1541
    • (2002) AIChE J. , vol.48 , Issue.1 , pp. 97-109
    • Rao, C.1    Rawlings, J.2
  • 27
    • 57949107354 scopus 로고    scopus 로고
    • An inequality constrained nonlinear Kalman-Bucy smoother by interior point likelihood maximization
    • 0005-1098
    • Bell, B., Burke, J., and Pillonetto, G.: ' An inequality constrained nonlinear Kalman-Bucy smoother by interior point likelihood maximization ', Automatica, 2009, 45, (1), p. 25-33 0005-1098
    • (2009) Automatica , vol.45 , Issue.1 , pp. 25-33
    • Bell, B.1    Burke, J.2    Pillonetto, G.3
  • 28
    • 0036475447 scopus 로고    scopus 로고
    • A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking
    • 10.1109/78.978374 1053-587X
    • Arulampalam, M., Maskell, S., Gordon, N., and Clapp, G.: ' A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking ', IEEE Trans. Signal Process., 2002, 50, (2), p. 174-188 10.1109/78.978374 1053-587X
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.2 , pp. 174-188
    • Arulampalam, M.1    Maskell, S.2    Gordon, N.3    Clapp, G.4
  • 29
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • Kalman, R.: ' A new approach to linear filtering and prediction problems ', ASME J. Basic Eng., 1960, 82, (Series D), p. 35-45
    • (1960) ASME J. Basic Eng. , vol.82 , Issue.SERIES D , pp. 35-45
    • Kalman, R.1
  • 30
    • 0019558226 scopus 로고
    • Recursive estimation in the presence of uniformly distributed measurement noise
    • 0018-9286
    • Servi, L., and Ho, Y.: ' Recursive estimation in the presence of uniformly distributed measurement noise ', IEEE Trans. Autom. Control, 1981, 26, (2), p. 563-564 0018-9286
    • (1981) IEEE Trans. Autom. Control , vol.26 , Issue.2 , pp. 563-564
    • Servi, L.1    Ho, Y.2
  • 31
    • 21144479497 scopus 로고
    • Constraining Kalman filter and smoothing estimates to satisfy time-varying restrictions
    • Doran, H.: ' Constraining Kalman filter and smoothing estimates to satisfy time-varying restrictions ', Rev. Econ. Stat., 1992, 74, (3), p. 568-572
    • (1992) Rev. Econ. Stat. , vol.74 , Issue.3 , pp. 568-572
    • Doran, H.1
  • 34
    • 0022011523 scopus 로고
    • Constrained signal restoration via iterated extended Kalman filtering
    • 0096-3518
    • Tugnait, J.: ' Constrained signal restoration via iterated extended Kalman filtering ', IEEE Trans. Acoust., Speech Signal Process., 1985, ASSP-33, (2), p. 472-475 0096-3518
    • (1985) IEEE Trans. Acoust., Speech Signal Process. , vol.33 , Issue.2 , pp. 472-475
    • Tugnait, J.1
  • 35
    • 37749000346 scopus 로고    scopus 로고
    • Kalman filtering in the presence of state space equality constraints
    • Harbin, China, http://arxiv.org/abs/0705.4563v1, accessed May 2009
    • Gupta, N.: ' Kalman filtering in the presence of state space equality constraints ', Chinese Control Conf., Harbin, China, 2007, p. 107-113, http://arxiv.org/abs/0705.4563v1, accessed May 2009
    • (2007) Chinese Control Conf. , pp. 107-113
    • Gupta, N.1
  • 39
    • 2942547763 scopus 로고    scopus 로고
    • Improved estimation performance using known linear constraints
    • 10.1016/j.automatica.2004.03.001 0005-1098
    • Mahata, K., and Soderstrom, T.: ' Improved estimation performance using known linear constraints ', Automatica, 2004, 40, (8), p. 1307-1318 10.1016/j.automatica.2004.03.001 0005-1098
    • (2004) Automatica , vol.40 , Issue.8 , pp. 1307-1318
    • Mahata, K.1    Soderstrom, T.2
  • 40
    • 0025402602 scopus 로고
    • Target tracking problems subject to kinematic constraints
    • 0018-9286
    • Tahk, M., and Speyer, J.: ' Target tracking problems subject to kinematic constraints ', IEEE Trans. Autom. Control, 1990, 35, (3), p. 324-326 0018-9286
    • (1990) IEEE Trans. Autom. Control , vol.35 , Issue.3 , pp. 324-326
    • Tahk, M.1    Speyer, J.2
  • 41
    • 0029252844 scopus 로고
    • Incorporation of positivity constraint into a Kalman-filter-based algorithm for correction of spectrometric data
    • Massicotte, D., Morawski, R., and Barwicz, A.: ' Incorporation of positivity constraint into a Kalman-filter-based algorithm for correction of spectrometric data ', IEEE Trans. Instrum. Measure., 1995, 46, (1), p. 2-7
    • (1995) IEEE Trans. Instrum. Measure. , vol.46 , Issue.1 , pp. 2-7
    • Massicotte, D.1    Morawski, R.2    Barwicz, A.3
  • 43
    • 0029326236 scopus 로고
    • Moving horizon observers and observer-based control
    • 0018-9286
    • Michalska, H., and Mayne, D.: ' Moving horizon observers and observer-based control ', IEEE Trans. Autom. Control, 1995, 40, (6), p. 995-1006 0018-9286
    • (1995) IEEE Trans. Autom. Control , vol.40 , Issue.6 , pp. 995-1006
    • Michalska, H.1    Mayne, D.2
  • 44
    • 0030215706 scopus 로고    scopus 로고
    • A moving horizon-based approach for least-squares estimation
    • 0001-1541
    • Robertson, D., Lee, J., and Rawlings, J.: ' A moving horizon-based approach for least-squares estimation ', AIChE J., 1996, 42, (8), p. 2209-2224 0001-1541
    • (1996) AIChE J. , vol.42 , Issue.8 , pp. 2209-2224
    • Robertson, D.1    Lee, J.2    Rawlings, J.3
  • 47
    • 0037291591 scopus 로고    scopus 로고
    • Constrained state estimation for nonlinear discrete-time systems: Stability and moving horizon approximations
    • 10.1109/TAC.2002.808470 0018-9286
    • Rao, C., Rawlings, J., and Mayne, D.: ' Constrained state estimation for nonlinear discrete-time systems: stability and moving horizon approximations ', IEEE Trans. Autom. Control, 2003, 48, (2), p. 246-258 10.1109/TAC.2002.808470 0018-9286
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.2 , pp. 246-258
    • Rao, C.1    Rawlings, J.2    Mayne, D.3
  • 49
    • 62949178808 scopus 로고    scopus 로고
    • Unscented filtering for interval-constrained nonlinear systems
    • Cancun, Mexico
    • Teixeira, B., Torres, L., Aguirre, L., and Bernstein, D.: ' Unscented filtering for interval-constrained nonlinear systems ', IEEE Conf. on Decision Control, Cancun, Mexico, 2008, p. 5116-5121
    • (2008) IEEE Conf. on Decision Control , pp. 5116-5121
    • Teixeira, B.1    Torres, L.2    Aguirre, L.3    Bernstein, D.4
  • 50
    • 33750313512 scopus 로고    scopus 로고
    • Robust and reliable estimation via unscented recursive nonlinear dynamic data reconciliation
    • 0959-1524
    • Vachhani, P., Narasimhan, S., and Rengaswamy, R.: ' Robust and reliable estimation via unscented recursive nonlinear dynamic data reconciliation ', J. Process Control, 2006, 16, (10), p. 1075-1086 0959-1524
    • (2006) J. Process Control , vol.16 , Issue.10 , pp. 1075-1086
    • Vachhani, P.1    Narasimhan, S.2    Rengaswamy, R.3
  • 51
    • 52949131353 scopus 로고    scopus 로고
    • Constrained state estimation using the unscented Kalman filter
    • 16th, Ajaccio, France
    • Kandepu, R., Imsland, L., and Foss, B.: ' Constrained state estimation using the unscented Kalman filter ', 16th, Mediterranean Conf. on Control Automation, Ajaccio, France, 2008, p. 1453-1458
    • (2008) Mediterranean Conf. on Control Automation , pp. 1453-1458
    • Kandepu, R.1    Imsland, L.2    Foss, B.3
  • 52
    • 58749086947 scopus 로고    scopus 로고
    • Computation of arrival cost for moving horizon estimation via unscented Kalman filtering
    • 0959-1524
    • Qu, C., and Hahn, J.: ' Computation of arrival cost for moving horizon estimation via unscented Kalman filtering ', J. Process Control, 2009, 19, (2), p. 358-363 0959-1524
    • (2009) J. Process Control , vol.19 , Issue.2 , pp. 358-363
    • Qu, C.1    Hahn, J.2
  • 53
    • 0036504051 scopus 로고    scopus 로고
    • A survey of convergence results on particle filtering methods for practitioners
    • 10.1109/78.984773 1053-587X
    • Crisan, D., and Doucet, A.: ' A survey of convergence results on particle filtering methods for practitioners ', IEEE Trans. Signal Process., 2002, 50, (3), p. 736-746 10.1109/78.984773 1053-587X
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.3 , pp. 736-746
    • Crisan, D.1    Doucet, A.2
  • 54
    • 1842788946 scopus 로고    scopus 로고
    • Road-constrained target tracking and identification using a particle filter
    • San Diego, CA
    • Agate, C., and Sullivan, K.: ' Road-constrained target tracking and identification using a particle filter ', Signal and Data Processing of Small Targets, San Diego, CA, 2003, p. 532-543
    • (2003) Signal and Data Processing of Small Targets , pp. 532-543
    • Agate, C.1    Sullivan, K.2
  • 57
    • 29844444725 scopus 로고    scopus 로고
    • Particle filter track-before-detect application using inequality constraints
    • 0018-9251
    • Boers, Y., and Driessenm, H.: ' Particle filter track-before-detect application using inequality constraints ', IEEE Trans. Aerosp. Electron. Syst., 2005, 41, (4), p. 1481-1487 0018-9251
    • (2005) IEEE Trans. Aerosp. Electron. Syst. , vol.41 , Issue.4 , pp. 1481-1487
    • Boers, Y.1    Driessenm, H.2
  • 59
    • 8844279730 scopus 로고    scopus 로고
    • August, May 2010
    • Kuntsevich, A., Kappel, F.: 'SolvOpt', August 1997, www.unigraz.at/ imawww/kuntsevich/solvopt/, accessed May 2010
    • (1997) SolvOpt
    • Kuntsevich, A.1    Kappel, F.2


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