**Page description appears here**

“Observer Design for Second-Order Distributed Parameter Systems in R2”

Authors: Tu Duc Nguyen,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 2008, Vol 29, No 2, pp. 51-58.

     Valid XHTML 1.0 Strict


Keywords: Distributed parameter systems; Observers; Second-order systems; Semigroup

Abstract: Observer design for second-order distributed parameter systems in R2 is addressed. Particularly, second order distributed parameter systems without distributed damping are studied. Based on finite number of measurements, exponentially stable observer is designed. The existence, uniqueness and stability of solutions of the observer are based on semigroup theory.

PDF PDF (206 Kb)        DOI: 10.4173/mic.2008.2.2



DOI forward links to this article:
  [1] Xuyang Lou and Baotong Cui (2015), doi:10.1007/s00034-015-9976-9


References:
[1] Anderson, B. D. O. Moore, J. B. (1990). Optimal Control: Linear Quadratic Methods, Prentice-Hall.
[2] Balas, M. J. (1999). Do all linear flexible structures have convergent second-order observers?, 22, No. 6.
[3] Bounit, H. Hammouri, H. (1997). Observers for infinite dimensional bilinear systems, Euro. J. Control, Vol. 2.
[4] Demetriou, M. A. (2004). Second order observers for second order distributed parameter systems, Systems Control Letters, Vol. 51 doi:10.1016/j.sysconle.2003.08.005
[5] Evans, L. C. (1998). Partial differential equations, American Mathematical Society, Vol. 19.
[6] Gauthier, J.-P. Kupka, I. (2001). Deterministic observation theory and applications, Cambridge University Press.
[7] I., S. Dym, C. (1991). Energy and Finite Element Methods in Structural Mechanics, Hemishere Publishing Corporation.
[8] Kristiansen, D. (2000). Modeling of Cylinder Gyroscopes and Observer Design for Nonlinear Oscillations, Ph.D. thesis, Norwegian University of Science and Technology, Trondheim, Norway.
[9] Luenberger, D. L. (1979). Introduction to Dynamic Systems, Wiley.
[10] Nguyen, T. D. Egeland, O. (2003). Tracking and observer design for a motorized euler-bernoulli beam, Proc. IEEE Int. Conference on Decision and Control, Maui, Hawaii.
[11] Nguyen, T. D. Egeland, O. (2006). Second-order observer for a class of second-order distributed parameter systems, Proc. IEEE Int. Conference on Decision and Control, San Diego, CA.
[12] Nijmeijer, H. (1999). New Directions in Nonlinear Observer Design, Springer-Verlag.
[13] Pazy, A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag.
[14] Smyshlyaev, A. Kristic, M. (2005). Backstepping observers for a class of parabolic pdes, Systems and Control Letters, Vol. 54 doi:10.1016/j.sysconle.2004.11.001
[15] Vazquez, R. Krstic, M. (2005). A close-form observer for the channel flow navier-stokes system, Proc. IEEE Int. Conference on Decision and Control, Seville, Spain.
[16] Xu, D. J., C.-Z. Sallet, G. (2006). Infinite dimensional observers for vibrating systems, Proc. IEEE Int. Conference on Decision and Control, San Diego, CA.


BibTeX:
@article{MIC-2008-2-2,
  title={{Observer Design for Second-Order Distributed Parameter Systems in R2}},
  author={Nguyen, Tu Duc},
  journal={Modeling, Identification and Control},
  volume={29},
  number={2},
  pages={51--58},
  year={2008},
  doi={10.4173/mic.2008.2.2},
  publisher={Norwegian Society of Automatic Control}
};

News

Oct 2018: MIC reaches 3000 DOI Forward Links. The last 1000 took 2 years and 5 months.


May 2016: MIC reaches 2000 DOI Forward Links. The first 1000 took 34 years, the next 1000 took 2.5 years.


July 2015: MIC's new impact factor is now 0.778. The number of papers published in 2014 was 21 compared to 15 in 2013, which partially explains the small decrease in impact factor.


Aug 2014: For the 3rd year in a row MIC's impact factor increases. It is now 0.826.


Dec 2013: New database-driven web-design enabling extended statistics. Article number 500 is published and MIC reaches 1000 DOI Forward Links.


Jan 2012: Follow MIC on your smartphone by using the RSS feed.

Smartphone


July 2011: MIC passes 1000 ISI Web of Science citations.


Mar 2010: MIC is now indexed by DOAJ and has received the Sparc Seal seal for open access journals.


Dec 2009: A MIC group is created at LinkedIn and Twitter.


Oct 2009: MIC is now fully updated in ISI Web of Knowledge.