Chapter 10 Engineer ’ s Guide to Variable-Structure Multiple-Model Estimation for Tracking

Target tracking is a hybrid estimation problem involving both continuous and discrete uncertainties [31]. In the prevailing approaches to target tracking, the modeling of the target motion/dynamics and the sensory system is essential. In these systemoriented approaches, it is customary to use the continuous-valued process/plant noise and measurement noise to cover the unknown modeling errors or deviations of the model from the true system. However, the major challenges of target tracking arise from two discrete-valued uncertainties: the measurement origin uncertainty and the target motion uncertainty. The measurement origin uncertainty refers to the fact that a measurement provided by the sensory system for target tracking may have originated from an extraneous source, including clutter, false alarms, and neighboring targets, as well as the target under track. It may also have originated from countermeasures from the target. This uncertainty is clearly discrete in nature. It poses the greatest challenge for target tracking. Numerous techniques have been developed to deal with this uncertainty over the past three decades. The target motion uncertainty exhibits itself in the situations where a target may undergo a known or unknown maneuver during an unknown time period. In

[1]  D. Magill Optimal adaptive estimation of sampled stochastic processes , 1965 .

[2]  K. Ito,et al.  On State Estimation in Switching Environments , 1970 .

[3]  Amin G. Jaffer,et al.  On estimation of discrete processes under multiplicative and additive noise conditions , 1971, Inf. Sci..

[4]  Andrew P. Sage,et al.  On hierarchical structure adaptation and systems identification , 1974 .

[5]  D. Lainiotis,et al.  Partitioning: A unifying framework for adaptive systems, I: Estimation , 1976, Proceedings of the IEEE.

[6]  Y. Baram,et al.  An information theoretic approach to dynamical systems modeling and identification , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[7]  Hiromitsu Kumamoto,et al.  Random sampling approach to state estimation in switching environments , 1977, Autom..

[8]  M. Athans,et al.  State Estimation for Discrete Systems with Switching Parameters , 1978, IEEE Transactions on Aerospace and Electronic Systems.

[9]  M T Hadidi,et al.  Sequential Detection with Markov Interrupted Observations. , 1979 .

[10]  Jitendra K. Tugnait,et al.  A detection-estimation scheme for state estimation in switching environments , 1979, Autom..

[11]  L. C. Westphal,et al.  Simplex-directed partitioned adaptive filters , 1979 .

[12]  M. Gauvrit,et al.  Bayesian adaptive filter for tracking with measurements of uncertain origin , 1984, Autom..

[13]  Peter Maybeck,et al.  Investigation of moving-bank multiple model adaptive algorithms , 1985, 1985 24th IEEE Conference on Decision and Control.

[14]  Y. Bar-Shalom,et al.  The interacting multiple model algorithm for systems with Markovian switching coefficients , 1988 .

[15]  Amir Averbuch,et al.  Interacting Multiple Model Methods in Target Tracking: A Survey , 1988 .

[16]  Spyros G. Tzafestas,et al.  A hierarchical multiple model adaptive control of discrete-time stochastic systems for sensor and actuator uncertainties , 1990, Autom..

[17]  Mauro J. Caputi NonGaussian estimation using a modified Gaussian sum adaptive filter , 1991 .

[18]  渡辺 桂吾,et al.  Adaptive estimation and control : partitioning approach , 1991 .

[19]  Amir Averbuch,et al.  Radar target tracking-Viterbi versus IMM , 1991 .

[20]  X. Rong Li,et al.  Mode-Set Adaptation in Multiple-Model Estimators for Hybrid Systems , 1992, 1992 American Control Conference.

[21]  Peter S. Maybeck,et al.  An optimizing design strategy for multiple model adaptive estimation and control , 1993, IEEE Trans. Autom. Control..

[22]  Yaakov Bar-Shalom,et al.  Estimation and Tracking: Principles, Techniques, and Software , 1993 .

[23]  Yaakov Bar-Shalom,et al.  Design of an interacting multiple model algorithm for air traffic control tracking , 1993, IEEE Trans. Control. Syst. Technol..

[24]  D. Atherton,et al.  An investigation of the SFIMM algorithm for tracking manoeuvring targets , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[25]  X. R. Li,et al.  Multiple-model estimation with variable structure: some theoretical considerations , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[26]  D. P. Atherton,et al.  Adaptive interacting multiple model algorithm for tracking a manoeuvring target , 1995 .

[27]  Mauro J. Caputi,et al.  A necessary condition for effective performance of the multiple model adaptive estimator , 1995 .

[28]  Yakov Bar-Shalom,et al.  Multitarget-Multisensor Tracking: Principles and Techniques , 1995 .

[29]  V P Jilkov,et al.  Performance evaluation and comparison of variable structure multiple-model algorithms for tracking maneuvering radar targets , 1996, 1996 26th European Microwave Conference.

[30]  D.P. Atherton,et al.  Maneuvering target tracking using adaptive turn rate models in the interacting multiple model algorithm , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[31]  X. Rong Li,et al.  Hybrid Estimation Techniques , 1996 .

[32]  Y. Bar-Shalom,et al.  Multiple-model estimation with variable structure , 1996, IEEE Trans. Autom. Control..

[33]  Raman K. Mehra,et al.  Failure Detection and Identification Using a Nonlinear Interactive Multiple Model (IMM) Filtering Approach with Aerospace Applications , 1997 .

[34]  Murat Efe,et al.  The IMM Approach to the Fault Detection Problem , 1997 .

[35]  Y. Bar-Shalom,et al.  IMM tracking of maneuvering targets in the presence of glint , 1998 .

[36]  Krishna R. Pattipati,et al.  Ground-target tracking with topography-based variable-structure IMM estimator , 1998, Defense, Security, and Sensing.

[37]  Youmin Zhang,et al.  Detection and diagnosis of sensor and actuator failures using IMM estimator , 1998 .

[38]  G. A. Watson,et al.  IMMPDAF for radar management and tracking benchmark with ECM , 1998 .

[39]  Oliver E. Drummond,et al.  Comparison of various static multiple-model estimation algorithms , 1998, Defense, Security, and Sensing.

[40]  X. R. Li,et al.  Optimal selection of estimate for multiple-model estimation with uncertain parameters , 1998 .

[41]  X. R. Li,et al.  Multiple-model estimation with variable structure. III. Model-group switching algorithm , 1999 .

[42]  X. R. Li,et al.  Multiple-model estimation with variable structure. IV. Design and evaluation of model-group switching algorithm , 1999 .

[43]  Thiagalingam Kirubarajan,et al.  Precision large scale air traffic surveillance using IMM/assignment estimators , 1999 .

[44]  Samuel S. Blackman,et al.  IMM/MHT solution to radar benchmark tracking problem , 1999 .

[45]  Chen He,et al.  Model-set design, choice, and comparison for multiple-model estimation , 1999, Optics & Photonics.

[46]  Tzvetan Semerdjiev,et al.  Mode-Set Adaptive IMM for Maneuvring Target Tracking , 1999 .

[47]  David D. Sworder,et al.  Estimation Problems in Hybrid Systems , 1999 .

[48]  X. Rong Li,et al.  Survey of maneuvering target tracking: dynamic models , 2000, SPIE Defense + Commercial Sensing.

[49]  Youmin Zhang,et al.  Multiple-model estimation with variable structure. V. Likely-model set algorithm , 2000, IEEE Trans. Aerosp. Electron. Syst..

[50]  Youmin Zhang,et al.  Numerically robust implementation of multiple-model algorithms , 1999, IEEE Trans. Aerosp. Electron. Syst..

[51]  X. Rong Li,et al.  Multiple-Model Estimation with Variable Structure—Part II: Model-Set Adaptation , 2000 .

[52]  Peter S. Maybeck,et al.  Stochastic Models, Estimation And Control , 2012 .

[53]  Anna Freud,et al.  Design And Analysis Of Modern Tracking Systems , 2016 .