Distributed robust filtering with H∞ consensus of estimates

Automatica

Volumn 47, Issue 1, 2011, Pages 1-13

  Ugrinovskii, V ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Consensus; Distributed robust filtering; Gradient algorithms; Large scale systems; Vector dissipativity; Vector Lyapunov functions

Indexed keywords

CONSENSUS; GRADIENT ALGORITHM; ROBUST FILTERING; VECTOR DISSIPATIVITY; VECTOR LYAPUNOV FUNCTIONS;

ALGORITHMS; DIFFERENTIAL EQUATIONS; ESTIMATION; LARGE SCALE SYSTEMS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS;

VECTORS;

EID: 78650809966     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.10.002     Document Type: Article

References (31)

1. M. Arcak, and P. Kokotovic Nonlinear observers: a circle criterion design and robustness analysis Automatica 37 12 2001 1923 1930
2. T. Baar, and P. Bernhard H∞ -optimal control and related minimax design problems: a dynamic game approach 2nd ed. 1995 Birkhuser Boston
3. G. Calafiore, and B.T. Polyak Stochastic algorithms for exact and approximate feasibility of robust LMIs IEEE Transactions on Automatic Control 46 11 2001 1755 1759
4. M.-S. Chen, and C.-C. Chen Robust nonlinear observer for Lipschitz nonlinear systems subject to disturbances IEEE Transactions on Automatic Control 52 12 2007 2365 2369
5. J. Clark, and D.A. Holton A first look at graph theory 1991 World Scientific Singapore
6. R.F. Curtain, and A.J. Pritchard Functional analysis in modern applied mathematics 1977 Academic Press London, NY
7. G.A. de Castro, and F. Paganini Convex synthesis of controllers for consensus Proc. American Contr. Conf. Vol. 6 2004 4933 4938
8. Garulli, A., & Giannitrapani, A. (2008). A set-membership approach to consensus problems with bounded measurement errors. In Proc. 47th IEEE CDC (pp. 22762281).
9. W.M. Haddad, V. Chellaboina, and S.G. Nersesov Vector dissipativity theory and stability of feedback interconnections for large-scale non-linear dynamical systems International Journal of Control 77 10 2004 907 919
10. Huang, M., & Manton, J. H. (2007). Stochastic approximation for consensus seeking: mean square and almost sure convergence. In Proc. 46th IEEE CDC (pp. 306311).
11. C. Langbort, R.S. Chandra, and R. D'Andrea Distributed control design for systems interconnected over an arbitrary graph IEEE Transactions on Automatic Control 49 9 2004 1502 1519
12. Löfberg, J. (2004). Yalmip: a toolbox for modeling and optimization in MATLAB. In Proc. CACSD conf. Taipei, Taiwan.
13. D. Liberzon, and R. Tempo Common Lyapunov functions and gradient algorithms IEEE Transactions on Automatic Control 49 2004 990 994
14. Z. Li, Z. Duan, G. Chen, and L. Huang Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint IEEE Transactions on Circuits and Systems I: Regular Papers 57 1 2010 213 224
15. Nelson, T. R., & Freeman, R. A. (2009). Decentralized H∞ filtering in a multi-agent system. In Proc. American contr. conf. (pp. 57555760).
16. H. Nijmeijer, and I.M.Y. Mareels An observer looks at synchronization IEEE Transactios on Circuits and Systems I: Fundamental Theory and Applications 44 10 1997 882 890
17. Olfati-Saber, R. (2007). Distributed Kalman filtering for sensor networks. In Proc. 46th IEEE CDC (pp. 54925498).
18. R. Olfati-Saber, and R.M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Transactions on Automatic Control 49 9 2004 1520 1533
19. I.R. Petersen, V. Ugrinovskii, and A.V. Savkin Robust control design using H∞ methods 2000 Springer-Verlag
20. A. Pogromsky, and H. Nijmeijer Observer-based robust synchronization of dynamical systems International Journal on Bifurcation and Chaos 8 11 1998 2243 2254
21. B.T. Polyak Gradient methods for solving equations and inequalities USSR Computational Mathematics and Mathematical Physics 4 6 1964 17 32
22. B.T. Polyak, and R. Tempo Probabilistic robust design with linear quadratic regulators Systems and Control Letters 43 2001 343 353 (Pubitemid 32663763)
23. B.S. Rao, and H.F. Durrant-Whyte Fully decentralised algorithm for multisensor Kalman filtering IEE Proceeding D: Control Theory and Applications 138 5 1991 413 420
24. Semsar-Kazerooni, E., & Khorasani, K. (2009). An LMI approach to optimal consensus seeking in multi-agent systems. In Proc. American contr. conf. (pp. 45194524).
25. E. Semsar-Kazerooni, and K. Khorasani Optimal consensus algorithms for cooperative team of agents subject to partial information Automatica 44 2008 2766 2777
26. D.D. Siljak Large-scale dynamic systems: stability and structure 1978 North-Holland NY
27. M.V. Subbotin, and R.S. Smith Design of distributed decentralized estimators for formations with fixed and stochastic communication topologies Automatica 45 2009 2491 2501
28. H.J. Sussmann, and P.V. Kokotovic The peaking phenomenon and the global stabilization of nonlinear systems IEEE Transactions on Automatic Control 36 1991 424 440
29. V.A. Ugrinovskii Randomized algorithms for robust stability and guaranteed cost control of stochastic jump parameter systems with uncertain switching policies Journal of Optimization Theory and Applications 124 2005 227 245
30. J.C. Willems Dissipative dynamical systems part I: general theory Archive of Rational Mechanics and Analysis 45 1972 321 351
31. J. Yao, Z.-H. Guan, and D.J. Hill Passivity-based control and synchronization of general complex dynamical networks Automatica 45 2009 2107 2113