Skip to main content

Computer aided nonlinear system design based on algebraic system representation and on nonlinear bundle graphs

  • Conference paper
  • First Online:
Book cover Computer Aided Systems Theory — EUROCAST '93 (EUROCAST 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 763))

Included in the following conference series:

  • 147 Accesses

Abstract

A Bundle Graph representation of nonlinear systems is defined and is used to solve problems in control theory with algorithmic methods.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.Berg, Allgemeine Operatorenrechnung, Überblicke Mathem. 6, BI 1973, 7–49.

    Google Scholar 

  2. J.Birk,M.Zeitz, Nonlinear Control System Design IFAC Symp., Capri, 1989.

    Google Scholar 

  3. J.Birk,M.Zeitz, Computer-Aided Analysis of Nonlinear Observation Problems, Proceedings of the NOLCOS 92, Bordeaux 251–256.

    Google Scholar 

  4. E.Delaleau,M.Fliess, An Algebraic Interpretation of the Structure Algorithm with an Application to Feedback Decoupling,Proceedings of the NOLCOS 92 Bordeaux, 489–494.

    Google Scholar 

  5. G.Conte,A.M.Perdon,C.H.Moog, A Differential Algebraic Setting for Analytic Nonlinear Systems, Proceedings of the NOLCOS 92 Bordeaux, 203–208.

    Google Scholar 

  6. H.Fehren, Multiparameteranalyse linearer zeitinvarianter Mehrgrößenregelkreise, Doctoral. Thesis, Department of Mech. Eng. (FB15) University of Kassel, 1993

    Google Scholar 

  7. M.Fliess, A Note on the Invertibility of Nonlinear Input/output Systems, Systems Control Lett.8, 1986, 147–151.

    Google Scholar 

  8. M.Fliess, Generalized linear systems with lumped or distributed parameters and differential vector spaces, Int.J.Control,Vol.49,No.6,1989,1989–1999

    Google Scholar 

  9. M.Fliess, Generalized controller canonical forms for linear and nonlinear dynamics, IEEE Trans Autom.Control 35 1990,994–1001.

    Google Scholar 

  10. M.Fliess, Some basic structural properties of generalized linear systems, Systems Control Lett.15, 1990, 391–396.

    Google Scholar 

  11. M.Fliess, A remark on Willems 'trajectory characterization of linear controllability, Systems Control Lett.19,1992,43–45

    Google Scholar 

  12. M.Fliess, Some Remarks on a New Characterization of Linear Controllability, 2.IFAC Workshop on System Structure and Control 1992, 8–11

    Google Scholar 

  13. C.Heij, Exact Modelling and Identifiability of Linear Systems, Automatica, Vol.28,No.2,1992,325–344

    Google Scholar 

  14. A.Isidori, Nonlinear Control Systems, Second Edition, Springer-Verlag 1989.

    Google Scholar 

  15. A.J.Krener, A.Isidori, Linearization by output injection and nonlinear observers, Systems Control Lett. 3, 1983, 47–52.

    Google Scholar 

  16. A.J.Krener, W.Respondek, Nonlinear observers with linearizable error dynamics, SIAM J.Control.Optim.23, 1985, 197–216.

    Google Scholar 

  17. D.Laugwitz, Zahlen und Kontinuum, BI-Wissenschaftsverlag 1986

    Google Scholar 

  18. C.T.Lin, Structural Controllability, IEEE Trans.AC-19,1974,201–208.

    Google Scholar 

  19. R.Moreno-Diaz Jr, K.N.Leibovic,R.Moreno-Diaz, Systems Optimization in Retinal Research, EUROCAST'91, Springer Lecture Notes in Computer Science 585, 1991, 539–546

    Google Scholar 

  20. J.W. Nieuwenhuis, J.C. Willems, Continuity of Dynamical Systems, Math. Control Signals Systems (1992) 5: 391–400

    Google Scholar 

  21. H.Nijmeijer, A.J.v.d.Schaft, Nonlin. Dyn. Control Systems, Springer, 1990.

    Google Scholar 

  22. U.Oberst,Multidimensional constant linear systems and duality, Preprint,University of Innsbruck,Austria, 1988

    Google Scholar 

  23. U.Oberst,Multidimensional Constant Linear Systems, EUROCAST`91, Springer Lecture Notes in Computer Science 585, 1991,66–72

    Google Scholar 

  24. F.Pichler, General Systems Theoriy Requirements for the Engeneering of Complex Models, EUROCAST`91, Springer Lecture Notes in Computer Science 585, 1991, 132–141

    Google Scholar 

  25. K.J.Reinschke, Multivariable Control, Springer, 1988.

    Google Scholar 

  26. C.P.Schnor, Rekursive Funktionen und ihre Komplexität, Teubner, 1974

    Google Scholar 

  27. H.Schwartz,Nichtlineare Regelungssysteme, Oldenburg-Verlag, 1991

    Google Scholar 

  28. H.Sira-Ramirez, Dynamical sliding mode control strategies in the regulation of nonlinear chemical processes, Int.J.Control, Vol.56, No.1, 1992, 1–21

    Google Scholar 

  29. H.J.Sommer, H.Hahn, Systemtheoretische Ansätze von Willems und Fliess, IMAT-Bericht, 1992

    Google Scholar 

  30. H.J.Sommer, Einf. flexibler Begriffe mittels Fuzzy-Logik und eine Diskussion ihrer Anwendung, Vortrag 1.Workshop Fuzzy Control, Dortmund 1991

    Google Scholar 

  31. C.P.Suarez Araujo, R.Moreno-Diaz, Neural Structures to Compute Homothetic Invariances for Artificial Perception Systems, EUROCAST`91, Springer Lecture Notes in Computer Science 585, 1991, 525–538.

    Google Scholar 

  32. J.C.Willems, Paradigmas and Puzzles in the Theory of Dynamical Systems, IEEE Transactions on Automatic Control, 36 No 3,1991,259–294

    Google Scholar 

  33. M.Zeitz, The extended Luenberger observer for nonlinear systems, Systems Control Lett, 9,1987,149–156.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Franz Pichler Roberto Moreno Díaz

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sommer, H.J., Hahn, H. (1994). Computer aided nonlinear system design based on algebraic system representation and on nonlinear bundle graphs. In: Pichler, F., Moreno Díaz, R. (eds) Computer Aided Systems Theory — EUROCAST '93. EUROCAST 1993. Lecture Notes in Computer Science, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57601-0_38

Download citation

  • DOI: https://doi.org/10.1007/3-540-57601-0_38

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57601-3

  • Online ISBN: 978-3-540-48286-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics