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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Christofides, P.D.: Control of nonlinear distributed process systems: recent developments and challenges. AIChE J. 47(3), 514–518 (2001)
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)
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)
Holmes, P., Lumley, J.L., Berkooz, G.: Turbulence, Coherent Structures, Dynamical Systems and Symmetry, 1st edn. Cambridge University Press, New York (1996)
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)
Hong, Y.P., Li, H.X.: Comparative study of fluid dispensing modeling. IEEE Trans. Electron. Packag. Manuf. 26(4), 273–280 (2003)
Christofides, P.D.: Nonlinear and Robust Control of Partial Differential Equation Systems: Methods and Applications to Transport-Reaction Processes. Birkhauser, Boston (2001)
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)
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)
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)
Amourox, M., Eljai, A., Zerrik, E.: Regional observability of distributed systems. Int. J. Syst. Sci. 2, 301–313 (1994)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights 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)