State estimation for Markovian Jump Linear Systems with bounded disturbances

Automatica - Tập 49 - Trang 3292-3303 - 2013
Hao Wu1, Wei Wang1, Hao Ye1, Zidong Wang1,2
1Department of Automation, Tsinghua University, Beijing 100084, China
2Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, UK

Tài liệu tham khảo

Alamo, 2008, A set-membership state estimation algorithm based on DC programming, Automatica, 44, 216, 10.1016/j.automatica.2007.05.008 Andieu, 2003, Efficient particle filtering for jump Markov systems, application to time-varying autoregressions, IEEE Transations on Signal Processing, 51, 1762, 10.1109/TSP.2003.810284 Barki, 2009, Contributing vertices-based Minkowski sum computation of convex polyhedral, Computer-Aided Design, 41, 525, 10.1016/j.cad.2009.03.008 Bertsekas, 1971, Recursive state estimation for a set-membership description of uncertainty, IEEE Transactions on Automatic Control, 16, 117, 10.1109/TAC.1971.1099674 Blom, 1988, The interacting model algorithm for systems with Markovian switching coefficients, IEEE Transactions on Automatic Control, 33, 780, 10.1109/9.1299 Botkin, 1994, An algorithm for finding the Chebyshev center of a convex polyhedron Boukas, 1995, Stability of discrete-time linear systems with Markovian jumping parameters, Mathematics of Control, Signals and Systems, 8, 390, 10.1007/BF01209692 Boyd, 2004 Broman, 1990, A compact algorithm for the intersection and approximation of N-dimensional polytopes, Mathematics and Computers in Simulation, 32, 469, 10.1016/0378-4754(90)90003-2 Cinquemani, 2006, State estimation in stochastic hybrid systems with sparse observations, IEEE Transations on Automatic Control, 51, 1337, 10.1109/TAC.2006.878736 Costa, 1994, Linear minimum mean square error estimation for discrete-time Markovian jump linear systems, IEEE Transactions on Automatic Control, 39, 1685, 10.1109/9.310052 Costa, 2005 Doucet, 2000, Stochastic sampling algorithms for state estimation of jump Markov linear systems, IEEE Transactions on Automatic Control, 55, 188, 10.1109/9.839943 Eeah, 2009, Stochastic linear hybrid systems: modeling, estimation, and application in air traffic control, IEEE Transactions on Control Systems Technology, 17, 563, 10.1109/TCST.2008.2001377 Fogel, 2007, Exact and efficient construction of Minkowski sums of convex polyhedra with applications, Computer-Aided Design, 39, 929, 10.1016/j.cad.2007.05.017 Fukuda, 2004, From the zonotope construction to the Minkowski addition of convex polytopes, Journal of Symbolic Computation, 38, 1261, 10.1016/j.jsc.2003.08.007 Fukuda, K., & Weibel, C. (2005). Computing all faces of the Minkowski sum of V-polytopes. In Proceedings of the 17th Canadian conference on computational geometry. Goldfarb, 1991, An O(n3) primal interior point algorithm for convex quadratic programming, Mathematical Programming, 49, 325, 10.1007/BF01588795 Goodwin, 2004, A moving horizon approach to networked control system design, IEEE Transactions on Automatic Control, 49, 1427, 10.1109/TAC.2004.834132 Grunbaum, 2003 Ho, 2011, A switched IMM-extended Viterbi estimator-based algorithm for maneuvering target tracking, Automatica, 47, 92, 10.1016/j.automatica.2010.10.005 Hwang, 2006, State estimation for hybrid systems: applications to aircraft tracking, IEE Proceedings—Control Theory and Applications, 153, 556, 10.1049/ip-cta:20050053 James, 1988, A polynomial-time algorithm, based on Newtons method, for linear programming, Mathematical Programming, 40, 59 Jaulin, 2009, Robust set-membership state estimation: application to underwater robotics, Automatica, 45, 202, 10.1016/j.automatica.2008.06.013 Karmarkar, 1984, A new polynomial-time algorithm for linear programming, Combinatorica, 4, 373, 10.1007/BF02579150 Khachiyan, 1979, A polynomial algorithm for linear programming, Soviet Mathematics Doklady, 20, 191 Kuntsevich, 1985 Lewis, 2008 Liu, 2010, Robust filtering design for stochastic system with mode-dependent output quantization, IEEE Transactions on Signal Processing, 58, 6410, 10.1109/TSP.2010.2070496 Liu, 2008, Design of H∞ filter for Markov jumping linear systems with non-accessible mode information, Automatica, 44, 2655, 10.1016/j.automatica.2008.03.011 Milanese, 1991, Optimal estimation theory for dynamic systems with set membership uncertainty: an overview, Automatica, 27, 997, 10.1016/0005-1098(91)90134-N Mo, 1990, Fast and robust algorithm to compute exact polytope parameter bounds, Mathematics and Computers in Simulation, 32, 481, 10.1016/0378-4754(90)90004-3 Ong, 2006, The minimal disturbance invariant set: outer approximations via its partial sums, Automatica, 42, 1563, 10.1016/j.automatica.2006.04.019 Orguner, 2008, Risk-sensitive filtering for jump Markov linear systems, Automatica, 44, 109, 10.1016/j.automatica.2007.04.018 Pan, 1996, H∞ control of Markovian jump systems and solutions to associated piecewise-deterministic differential games, 61 Robert, 2004 Schweppe, 1968, Recursive state estimation: unknown but bounded errors and system inputs, IEEE Transactions on Automatic Control, 13, 22, 10.1109/TAC.1968.1098790 Serpedin, 2011 Souza, 2006, Mode-independent H∞ filters for Markovian jump linear systems, IEEE Transactions on Automatic Control, 51, 1837, 10.1109/TAC.2006.883060 Vicino, 1996, Sequential approximation of feasible parameter sets for identification with set membership uncertainty, IEEE Transactions on Automatic Control, 41, 774, 10.1109/9.506230 Walter, 1989, Exact recursive polyhedral description of the feasible parameter set for bounded-error models, IEEE Transactions on Automatic Control, 34, 911, 10.1109/9.29443 Wu, 2012, State estimation for networked systems: an extended IMM algorithm, International Journal of Systems and Science, 44, 1274, 10.1080/00207721.2012.670311 Yemelichev, 1984 Ziegler, 1995