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Title: Stability of the feedback linearization of bilinear plants with bounded inputs (English)
Author: Del Re, L.
Author: Guzzella, L.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 30
Issue: 2
Year: 1994
Pages: 141-152
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Category: math
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MSC: 93B18
MSC: 93B52
MSC: 93D05
idZBL: Zbl 0851.93019
idMR: MR1283491
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Date available: 2009-09-24T18:45:46Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/125004
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Reference: [2] G. Felley: Analyse de la stabilité de systèmes dynamiques à structure variable.PhD thesis, ETH, Zürich, 1988.
Reference: [3] P. P. Khargonekar I. R. Petersen, K. Zhou: Robust stabilization of uncertain linear systems: Quadratic stabilization and $H^\infty$ control theory.IEEE Trans. Automat. Control 35 (1990), 356-361. MR 1044036
Reference: [4] H. J. Sussmann: Semigroup representations, bilinear approximation of input-output maps and generalized inputs.In: Mathematical System Theory (Lecture Notes in Economics and Mathematical Systems, G. Marchesini and S. K. Mitter, eds.), Springer-Verlag, Berlin 1976, pp. 172-191. Zbl 0353.93025, MR 0683616
Reference: [5] S. Svoronos G. Stephanopoulos, R. Aris: Bilinear approximation of general nonlinear dynamic systems with linear inputs.Internat. J. Control 31 (1980), 101-109. MR 0566264
Reference: [6] H. Sussmann: On a general theorem on local controllability.SIAM J. Control Optim. 25 (1987), 158-194. MR 0872457
Reference: [7] A. Isidori: Nonlinear Control Systems.Springer-Verlag, Berlin 1989. MR 1015932
Reference: [8] M. Fukuzawa T. Ohtani, M. Masubuchi: A compensating method for the effects of the change of operating state in bilinear systems by state linearization technique.In: Preprints of the 1st IFAC Symposium on Design Methods for Control Systems, volume 2, September 1991, pp. 579-584.
Reference: [9] L. Del Re L. Guzzella, A. Astolfi: On the linearization of second order bilinear systems.In: Proceedings of the 31st Conference on Decision and Control, 1992.
Reference: [10] Th. Naujoks, Ch. Wurmthaler: Bilinearer Regler- und Beobachterentwurf für nichtlineare Systeme am Beispiel eines hydraulischen Drehantriebes.Automatisierungstechnik 36 (1988), 1, 32-37. Zbl 0643.93032
Reference: [11] J. Doyle B. Francis, A. Tannenbaum: Feedback Control Theory.Maxwell MacMillan International Editions, New York 1992. MR 1200235
Reference: [12] L. Del Re: Nonlinear modelling and black-box identification of a hydrostatic transmission for control system design.Mathematical and Computer Modelling 14 (1990), 219-224. Zbl 0719.93515
Reference: [13] L. Del Re: Linear bilinear approximation and feedback linearization of a hydrostatic drive.In: Proceedings of the American Control Conference 1992, pp. 221-225.
Reference: [14] L. Del Re J. Chapuis, V. Nevistić: Predictive control with embedded feedback linearization for bilinear plants with input constraints.Forschungsberichte 1, Institut für Automatik, 1993.
Reference: [15] J. Ackermann: Abtastregelung, volume 2.Springer-Verlag, Berlin 1983. MR 0421782
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