Abstract
In the last decade the behavioral point of view [8, 11, 12] has received an increasingly broader acceptance as an approach for modeling dynamical systems, and now is generally viewed as a cogent framework for system analysis. One of the reasons of its success has to be looked for in the fact that it does not start with the input/output point of view for describing how a system interacts with its environment, but focuses on the set of system trajectories, the behavior, and hence on the mathematical model describing the relations among all system variables.
Part of the results achieved in this paper were obtained during the author’s stay in Groningen, which was financially supported by the ESF Cosy Projecty.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bongiorno J.J. and Youla D.C. (1968). On observers in multivariable control systems. Int. J. Contr., 8, 221–243.
Chang S.K. and Hsu P.L. (1994). On the application of the |l}-inverse to the design of general structured unknown input observers. Int. J. Syst. Sci., 25, 2167–2186.
Hautus M.L.J. (1983). Strong detectability and observers. Linear Alg. Appl., 50, 353–368.
Kailath T. (1980). Linear Systems. Prentice Hall, Inc..
Kucera V. (1979). Discrete linear control: the polynomial equation approach. J. Wiley & Sons, New York.
Kucera V. (1991). Analysis and design of discrete linear control systems. Academia, Praga.
Luenberger D.G. (1966). Observers for multivariable systems. IEEE Trans. Aut.Contr., AC-11, 190–197.
Polderman J.W. and Willems J.C. (1997). Introduction to Mathematical Systems Theory: A behavioral approach. Springer-Verlag.
Tse E. (1973). Observer-estimators for discrete-time systems. IEEE Trans. Aut. Contr., AC-18, 10–16.
Valcher M.E. and Willems J.C. (1998). Observer synthesis in the behavioral approach. Submitted for pubblication to IEEE Trans, on Automatic Control.
Willems J.C. (1988). Models for dynamics. Dynamics reported, 2, 171–269.
Willems J.C. (1991). Paradigms and puzzles in the theory of dynamical systems. IEEE Trans. Aut.Contr., AC-36, 259–294.
Willems J.C. (1997). On interconnections, control, and feedback. IEEE Trans. Aut. Contr., AC-42, 326–339.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Birkhäuser Verlag Basel/Switzerland
About this paper
Cite this paper
Valcher, M.E., Willems, J.C. (1999). An Approach to Observer Design. In: Picci, G., Gilliam, D.S. (eds) Dynamical Systems, Control, Coding, Computer Vision. Progress in Systems and Control Theory, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8970-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8970-4_13
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9848-5
Online ISBN: 978-3-0348-8970-4
eBook Packages: Springer Book Archive