Design of consensus and adaptive consensus filters for distributed parameter systems

Automatica

Volumn 46, Issue 2, 2010, Pages 300-311

  Demetriou, Michael A ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

Adaptive consensus filters; Distributed parameter systems; Luenberger consensus filters; Spatially distributed local filter

Indexed keywords

ABSTRACT FRAMEWORK; CONSENSUS FILTER; DIFFUSION PARTIAL DIFFERENTIAL EQUATIONS; DISTRIBUTED CONSENSUS; DISTRIBUTED PARAMETER SYSTEMS; LOCAL FILTERS; NUMBER OF STATE; OBSERVATION ERRORS; POINT MEASUREMENT; SENSING DEVICES; WELLPOSEDNESS;

DIFFERENTIAL EQUATIONS;

SENSOR NETWORKS;

EID: 74149084426     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.11.015     Document Type: Article

References (28)

1. 2 norm. Chemical Engineering Science 61 22 (2006) 7351-7367
2. Armaou, A., & Demetriou, M. A. (2006b). Spatial controllability and multiple actuator placement for dissipative partial differential equation systems. In Proc. of the 2006 American Control Conf., Minneapolis, MN, USA
3. 2 norm for sensor placement and model reduction in parabolic partial differential equations. In Proc. of the 2006 American Control Conf., Minneapolis, MN, USA
4. Baumeister J., Scondo W., Demetriou M.A., and Rosen I. On-line parameter estimation for infinite dimensional dynamical systems. SIAM Journal on Control and Optimization 3 2 (1997) 678-713
5. Böhm M., Demetriou M.A., Reich S., and Rosen I.G. Model reference adaptive control of distributed parameter systems. SIAM Journal on Control and Optimization 36 1 (1998) 33-81
6. Chao, H., Chen, Y., & Ren, W. (2007). Consensus of information in distributed control of a diffusion process using centroidal voronoi tessellations. In Proc. of the 46th IEEE Convference on Decision and Control, New Orleans, LA
7. Curtain R.F. Corrections to the Kalman-Yakubovich-Popov lemma for Pritchard-Salamon systems. Systems and Control Letters 28 (1996) 237-238
8. Curtain R.F. The Kalman-Yakubovich-Popov lemma for Pritchard-Salamon systems. Systems and Control Letters 27 (1996) 67-72
9. Curtain R.F., Demetriou M.A., and Ito K. Adaptive compensators for perturbed positive real infinite dimensional systems. International Journal of Applied Mathematics and Computer Science 13 4 (2003)
10. Curtain R.F., and Zwart H.J. An introduction to infinite dimensional linear systems theory. Texts in Applied Mathematics Vol. 21 (1995), Springer-Verlag, Berlin
11. Datko R. An extension of a theorem of A. M. Lyapunov to semigroups of operators. Journal of Mathematical Analysis and Applications 24 (1968) 290-295
12. Demetriou, M. A., & Ito, K. (1995). An adaptive controller for infinite dimensional dynamical systems. In Proc. of the 34th IEEE conf. on decision and control, New Orleans, LA. (pp. 2940-2945)
13. Engel K.-J., and Nagel R. One-parameter semigroups for linear evolution equations. Graduate texts in mathematics Vol. 194 (2000), Springer-Verlag, New York
14. Iftime O., Zwart H.J., and Curtain R.F. A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems. International Journal of Control 78 (2003) 505-520
15. Ioannou P.A., and Sun J. Robust adaptive control (1995), Prentice Hall, Englewood Cliffs, NJ
16. Liang, J., & Chen, Y. (2005). Diff/wave-mas2d: A simulation platform for measurement and actuation scheduling in distributed parameter systems with mobile actuators and sensors. In Proc. of the 2005 IEEE Int'l Conf. on Mechatronics and Automation, Canada
17. Lions J.L., and Magenes E. Non-homogeneous boundary value problems, I (1972), Springer-Verlag, New York
18. Olfati-Saber, R. (2007). Distributed kalman filtering for sensor networks. In Proc. of the 46th IEEE Conf. on Decision and Control, New Orleans, LA
19. Olfati-Saber, R., & Sandell, N. F. (2008). Distributed tracking in sensor networks with limited sensing range. In Proc. of the 2008 American control conf., Seattle, WA
20. Olfati-Saber, R., & Shamma, J. (2005). Consensus filters for sensor networks and distributed sensor fusion. In Proc. of the 44th IEEE conf. on decision and control, Seville, Spain
21. Pazy A. Semigroups of linear operators and applications to partial differential equations (1983), Springer-Verlag, NY
22. Popov V.M. Hyperstability of control systems (1973), Springer-Verlag, Berlin
23. Ren, W., Chao, H., Bourgeous, W., & Chen, N. Y. (2007). Experimental implementation and validation of consensus algorithms on a mobile actuator and sensor network platform. In Proc. of the IEEE Int'l. Conf. on Systems, Man and Cybernetics, Montreal, Canada
24. Schwager, M., Slotine, J. -J., & Rus, D. (2008). Consensus learning for distributed coverage control. In Proc. of the 2008 IEEE int'l. conf. on robotics and automation, Pasadena, CA
25. Tanabe H. Equations of evolution (1979), Pitman, London
26. Tucsnak M., and Weiss G. Observation and control for operator semigroups (2009), Birkhäuser Verlag AG, Basel-Boston-Berlin
27. Work, D. B., Tossavainen, O.-P., Jacobson, Q., & Bayen, A.M. (2009). Lagrangian sensing: Traffic estimation with mobile devices. In: Proc. of the 2009 American control conf., St., Louis, MO
28. Yang, P., Freeman, R. A., & Lynch, K. M. (2007). Distributed cooperative active sensing using consensus filters. In Proc. of the 2007 IEEE int'l. conf. on robotics and automation, Roma, Italy