Nonlinear H∞ filtering for interconnected Markovian jump systems

Journal of Systems Engineering and Electronics

Volumn 17, Issue 1, 2006, Pages 138-146

  Zhang, Xiaomei ^a,b   Zheng, Yufan ^b  

^a NANTONG UNIVERSITY   (China)

^b EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

Interconnected systems; Linear matrix inequality; Markovian jump systems

Indexed keywords

COMPUTER SIMULATION; DESIGN; ERRORS; LINEAR SYSTEMS; MARKOV PROCESSES; MATRIX ALGEBRA;

INTERCONNECTED SYSTEMS; LINEAR MATRIX INEQUALITY; MARKOVIAN JUMP SYSTEMS; NONLINEAR H INFINITY CONTROL FILTERING;

NONLINEAR FILTERING;

EID: 33646723121     PISSN: 16711793     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1004-4132(06)60025-X     Document Type: Article

References (11)

1. Gao Z W. The class of all reduced-order state observers. Systems Analysis Modelling Simulation, 2002, 42: 1309-1317.
2. Gao Z W, A T P So. On parameterization design for linear observers. Journal of the Frankin Institute, 2003, 340: 87-102.
3. ∞ observer for a class of nonlinear discrete systems. The Proceedings of the 5th Asian Control Conference, 2004: 262-267.
4. Krasovskii N N, Lidskii E A. Analytical design of controllers in systems with random attributes. Automation and Remote Control, 1961, 22(I-III): 1021-1025.
5. Boukas E K, Shi P, Benjelloun K. On stabilization of uncertain linear systems with parameters. International Journal of Control, 1999, 72: 842-850.
6. ∞ filtering for polytopic uncertain time-delay systems with Markovian jumps. Proc. of the American Control Conference, 2000: 3795-3799.
7. Costa O L V, Tuesta E F. Finite horizon quadratic optimal control and a separation principle for Markovian jump linear system. IEEE Tran on Automatic Control, 2003, 48: 1836-1842.
8. Ji Y, Chizeck H J. Controllability, stability, and continuous-time Markovian jump linear quadratic control. IEEE Tran on Automatic Control, 1990, 35: 777-788.
9. Wang Y, Xie L, De Souza C E. Robust control of a class of uncertain nonlinear systems. Systems and Control Letters, 1992, 19: 139-149.
10. Davis M H A. Piecewise deterministic Markov processes: a general class of non-diffusion stochastic models. Journal of the Royal Statistical Society, 1984, B46: 353-388.
11. Boyd S, El Ghaoui L, Feron E, et al. Linear matrix inequalities in systems and control theory. SLAM studies in applied mathematics, Philadephia, PA: Society for industrial and applied mathematics, 1994.