Abstract
Necessary and sufficient conditions for non-linear decoupling and pertur-bation rejection by dynamic output feedbacks are given thanks to differential alge-braic methods. Analogue results for discrete-time systems are derived by employing difference algebra. Even for linear systems most results appear to be new.
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Bibliographie
Antoulas (A.C.) – A new approach to synthesis problems in linear system theory, IEEE Trans. Automat. Contr., 30, 1985, p. 465–473.
Claude (D.), Glumineau (A.) et Moog (C.H.) – Nonlinear decoupling and immersion techniques applied to a single point mooring of a tanker, Proc. 24th IEEE Control Decision Conf., Fort Lauderdale, FL, Dec. 1985, p. 1660–1665.
Cohn (R.M.) – Difference Algebra, Interscience, New York, 1965.
Fliess (M.) – Some remarks on nonlinear invertibility and dynamic state-feed-back, MTNS-85, Stockholm, June 1985, C. Byrnes and A. Lindquist Eds, Elsevier, Amsterdam, 1986.
Fliess (M.) – A new approach to the noninteracting control problem in nonlinear systems theory, Proc. 23rd Allerton Conf., Monticello, IL, Oct. 1985, p. 123–129.
Fliess (M.) – L’inversion entrée-sortie comme illustration d’une algèbre nou-velle en non-linéaire, Actes Coll. CNRS “Propriétés Structurales des Systèmes Linéaires, Application A des Problèmes de Commande”, Paris, Juin 1986.
Fliess (M.) – A note on the invertibility of nonlinear input-output differential systems, A paraître.
Grizzle (J.W.) – Controlled invariance for discrete-time nonlinear systems with an application to the disturbance decoupling problem, IEEE Trans. Automat. Contr., 30, 1985, p. 868–874.
Hammer (J.) et Khargonekar (P.K.)–Decoupling of linear systems by dynamic output feedback, Math. Systems Theory, 17, 1984, p. 135–157.
Isidori (A.) – Nonlinear Control Systems: An Introduction, Lect. Notes Control Informat. Sc. 72, Springer, Berlin, 1985.
Isidori (A.), Krener (A.J.), Gori-Giorgi (C.) et Monaco (S.) – Nonlinear decou-pling via feedback: a geometric approach, IEEE Trans. Automat. Contr., 26, 1981, p. 331–345.
Johnson (J.) – Orders for systems of differential equations and a generaliza-tion of the notion of differential ring, J. Algebra, 78, 1982, p. 91–119.
Kaplansky (I.) – An Introduction to Differential Algebra, 2nd ed., Hermann, Paris, 1976.
Kolchin (E.R.) – Differential Algebra and Algebraic Groups, Academic Press, New York, 1973.
Monaco (S.) et Normand-Cyrot (D.) – Invariant distributions for discrete-time nonlinear systems, Systems Control Lett., 5, 1984, p. 191–196.
Pernebo (L.) – An algebraic theory for the-design of controllers for linear multivariable systems – Part I: Structure matrices and feedback design, IEEE Trans. Automat. Contr., 26, 1981, p. 171–182 – Part II: Feedback realizations and feedback design, p. 183–194.
Pommaret (J.-F.) – Differential Galois Theory, Gordon and Breach, New York, 1983.
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© 1986 Springer Science+Business Media Dordrecht
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Fliess, M. (1986). Vers Une Nouvelle Theorie Du Bouclage Dynamique sur La Sortie des Systemes Non Lineaires. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007566
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DOI: https://doi.org/10.1007/BFb0007566
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