Abstract
A MACSYMA implementation of a method to obtain decoupling of nonlinear systems by means of state-feedback is presented. The cases of rejection of disturbances and noninteracting control are treated.
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L. BORDONI et A. COLAGROSSI: "An application of reduce to industrial mechanics", A.C.M. Sigsam bul., 15, p. 8–12, 1981.
R. BROCKETT: "Volterra series and geometric control theory", Automatica, 12, p. 167–176, 1976.
K.T. CHEN: "Iterated path integrals", Bull. Amer. Math. Soc., 83, p. 831–879, 1977.
D. CLAUDE: "Découplage des systèmes non linéaires analytiques ou rejet des perturbations", C.R. Acad. Sci. Paris, 292, série I, p. 59–62, 1981.
D. CLAUDE: "Decoupling of non linear systems", Syst. Contr. Let., p. 242–248, 1982.
P. DUFRESNE: "Rapport d'option", promotion 1978, Ecole Polytechnique, 91128 Palaiseau Cedex.
M. FLIESS: "Fonctionnelles causales non linéaires et indéterminées non commutatives", Bull. Soc. Math. Fr., 109, p. 3–40, 1981.
C. GODBILLON: "Géométrie différentielle et mécanique analytique", Hermann, Paris, 1969.
A. LIEGEOIS, M.J. ALDON: "Génération et programmation automatiques des équations de Lagrange des robots et manipulateurs", I.N. R.I.A., Rapport de recherche no 32, 1980.
"MACSYMA: Reference Manual, M.I.T., Cambridge, Massachusetts 01239, 1975.
SAHJENDRA N. SINGH et A.A. SCHY: "Output feedback non-linear decoupled control synthesis and observer design for manoeuvring aircraft", Int. J. Control, 31, p. 781–806, 1980.
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© 1982 Springer-Verlag Berlin Heidelberg
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Claude, D., Dufresne, P. (1982). An application of MACSYMA to nonlinear systems decoupling. In: Calmet, J. (eds) Computer Algebra. EUROCAM 1982. Lecture Notes in Computer Science, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11607-9_35
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DOI: https://doi.org/10.1007/3-540-11607-9_35
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