×

zbMATH — the first resource for mathematics

Distributed consensus-based estimation considering network induced delays and dropouts. (English) Zbl 1271.93150
Summary: This paper’s aim is to present a novel distributed estimation technique for linear time-invariant systems with network-induced delays and packet dropouts. The methodology is based on local Luenberger-like observers in combination with consensus strategies. Only neighbors are allowed to communicate and the observer design contemplates the possibility of sharing only a subset of the estimates. The design problem is solved via linear matrix inequalities and an asymptotic stability proof is provided.

MSC:
93E10 Estimation and detection in stochastic control theory
93A14 Decentralized systems
PDF BibTeX XML Cite
Full Text: DOI Link
References:
[1] Alriksson, P., & Anders, R. (2006). Distributed Kalman filtering using weighted averaging. In 17th international symposium on mathematical theory of networks and systems. Kyoto, Japan, July.
[2] El Ghaoui, L.; Oustry, F.; AitRami, M., A cone complementary linearization algorithm for static output-feedback and related problems, IEEE transactions on automatic control, 42, 8, 1171-1176, (1997) · Zbl 0887.93017
[3] Farina, M.; Ferrari-Trecate, G.; Scattolini, R., Distributed moving horizon estimation for linear constrained systems, IEEE transactions on automatic control, 55, 11, 2462-2475, (2010) · Zbl 1368.93677
[4] Kamgarpour, M., & Tomlin, C. (2008). Convergence properties of a decentralized Kalman filter. In 47th IEEE conference on decision and control. (pp. 3205-3210). Cancún, Mexico, December.
[5] Maestre, J.M., Giselsson, P., & Rantzer, A. (2010). Distributed receding horizon Kalman filter. In 49th IEEE conference on decision and control. (pp. 5068-5073). Atlanta, GA, USA, December.
[6] Maestre, J.M., Muñoz de la Peña, D., & Camacho, E.F. (2011). Wireless sensor network analysis through a coalitional game: application to a distributed Kalman filter. In 8th IEEE international networking, sensing and control. Delft, The Netherlands, April.
[7] Olfati-Saber, R. (2005). Distributed Kalman filter with embedded consensus filters. In 44th IEEE conference on decision and control and the european control conference. (pp. 8179-8184). Seville, Spain, December.
[8] Olfati-Saber, R. (2007). Distributed Kalman filtering for sensor networks. In 46th IEEE conference on decision and control. (pp. 5492-5498). New Orleans, LA, USA, December.
[9] Olfati-Saber, R. (2009). Kalman-consensus filter: optimality, stability, and performance. In 48th IEEE conference on decision and control and 28th chinese control conference. (pp. 7036-7042). Shanghai, PR, China, December.
[10] Olfati-Saber, R., & Shamma, J. (2005). Consensus filters for sensor networks and distributed sensor fusion. In 44th IEEE conference on decision and control and the european control conference. (pp. 6698-6703). Seville, Spain, December.
[11] Yue, D.; Han, Q.L.; Lam, J., Network-based robust \(H_\infty\) control of systems with uncertainty, Automatica, 41, 6, 999-1007, (2005) · Zbl 1091.93007
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.