Skip to main content

Advanced Approach for Observability of Distributed Systems Using Internal Pointwise Sensor

  • Conference paper
  • First Online:
Applied Computational Intelligence and Mathematical Methods (CoMeSySo 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 662))

Included in the following conference series:

Abstract

This paper will serve as a basic introduction to the observability of diffusion process as an example of distributed parameter systems. The aim of this research is to reconstruct initial state not well known \(x_{0}\), which is known in certain subregions and unknown in others, and to give important results related to internal pointwise sensor in different geometrical situations. Many applications are investigated whether in one-dimensional case or two-dimensional one.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Christofides, P.D.: Control of nonlinear distributed process systems: recent developments and challenges. AIChE J. 47(3), 514–518 (2001)

    Article  Google Scholar 

  2. Banerjee, S., Cole, J.V., Jensen, K.F.: Nonlinear model reduction strategies for rapid thermal processing systems. IEEE Trans. Semicond. Manuf. 11(2), 266–275 (1998)

    Article  Google Scholar 

  3. Li, H.X., Guan, S.P.: Hybrid intelligent control strategy-Supervising a DCS - controlled batch process. IEEE Control Syst. Mag. 21(3), 36–48 (2001)

    Article  Google Scholar 

  4. Holmes, P., Lumley, J.L., Berkooz, G.: Turbulence, Coherent Structures, Dynamical Systems and Symmetry, 1st edn. Cambridge University Press, New York (1996)

    Book  MATH  Google Scholar 

  5. Li, H.X., Liu, J., Chen, C.P., Deng, H.: A simple model-based approach for fluid dispensing analysis and control. IEEE/ASME Trans. Mechatron. 12(4), 491–503 (2007)

    Article  Google Scholar 

  6. Hong, Y.P., Li, H.X.: Comparative study of fluid dispensing modeling. IEEE Trans. Electron. Packag. Manuf. 26(4), 273–280 (2003)

    Article  MathSciNet  Google Scholar 

  7. Christofides, P.D.: Nonlinear and Robust Control of Partial Differential Equation Systems: Methods and Applications to Transport-Reaction Processes. Birkhauser, Boston (2001)

    MATH  Google Scholar 

  8. Fleming, A.J., Moheimani, S.O.R.: Spatial system identification of a simply supported beam and a trapezoidal cantilever plate. IEEE Trans. Control Syst. Technol. 11(5), 726–736 (2003)

    Article  Google Scholar 

  9. Halim, D., Moheimani, S.O.R.: Spatial resonant control of flexible structures - application to a piezoelectric laminate beam. IEEE Trans. Control Syst. Technol. 9(1), 37–53 (2001)

    Article  Google Scholar 

  10. Demetriou, M.A.: Integrated actuator-sensor placement and hybrid controller design of flexible structures under worst case spatiotemporal disturbance variations. J. Intell. Mater. Syst. Struct. 15, 901–921 (2004)

    Article  Google Scholar 

  11. Amourox, M., Eljai, A., Zerrik, E.: Regional observability of distributed systems. Int. J. Syst. Sci. 2, 301–313 (1994)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amine Bouaine .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Bouaine, A., Rachik, M. (2018). Advanced Approach for Observability of Distributed Systems Using Internal Pointwise Sensor. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Applied Computational Intelligence and Mathematical Methods. CoMeSySo 2017. Advances in Intelligent Systems and Computing, vol 662. Springer, Cham. https://doi.org/10.1007/978-3-319-67621-0_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67621-0_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67620-3

  • Online ISBN: 978-3-319-67621-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics