Czasopismo
2002
|
Vol. 50, Nr 2
|
161--173
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The paper presents the problem of external dynamic linearization of the discret-time systems defined on smooth or analytic manifold. The main result is that nonlinear system is externally dynamically feedback linearizable if its difference output universe is free. Moreover, the number of free generators of this universe coincide with the number of controls of the given system.
Rocznik
Tom
Strony
161--173
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Technical University of Białystok, Institute of Mathematics & Physics, Wiejska 45A, 15-351 Białystok, Poland (Instytut matematyki i Fizyki Politechniki Białostockiej), epaw@cksr.ac.bialystok.pl
Bibliografia
- [1] Z. Bartosiewicz, J. Johnson, Systems on universe spaces, Acta Mathematicae Applicandae, 34 (1994).
- [2] P. Brunovsky, A classification of linear controllable systems, Kybernetika Gislo, 3, 6, (1970).
- [3] C. Califano, S. Monaco, D. Normand-Cyrot, On the problem of feedback linearization, Systems & Control Letters 36 (1999).
- [4] B. Jakubczyk, Dynamic feedback equivalence of nonlinear control systems, preprint.
- [5] J. Johnson, A generalized global differential calculus I, Cahiers Top. et Geom. Diff., XXVII (1986).
- [6] J. Hammer, Non-linear systems: stability and rationality, Int.J.Control, 40, 1, (1984).
- [7] U. Kotta, P. Liu, A. Zinober, Transfer equivalence of nonlinear higher order difference equations, Proc. on Nonlinear Control System Design Symposium NOCOLS’98, Enschede, The Netherlands, 1998.
- [8] H.G. Lee, A. Arapostathis, S.I. Marcus, Linearization of discrete-time systems, Int.J.Control, 45, 5, (1987).
- [9] S. Monaco, D. Normand-Cyrot, Minimum-phase nonlinear discrete-time systems and feedback stabilization, Proceedings of the 26th Confrence on Decision and Control, Los Angeles 1987.
- [10] K. Nam, Linearization of discrete-time nonlinear systems and a canonical structure, IEEE Transactions on Automatic Control, 34, 1, (1989).
- [11] E. Pawłuszewicz, Z. Bartosiewicz, External equivalence of unobservable discrete-time systems, Proc. of Symposia in Pure Mathematics, American Mathematical Society, Providence, Rhode Island, 64 (1999).
- [12] E. Pawłuszewicz, Dynamic equivalence of input-output of discrete-time systems, European Control Conference Brussels, Belgium, ECC97 (July 1-4, 1997).
- [13] J.-B. Pomet, A differential geometric setting for dynamic equivalence and dynamic linearization, Geometry in nonlinear control and differential inclusions, Banach Center Publications, Institute of Mathematics Polish Academy of Sciences, Warszawa, Poland, 32 (1995).
- [14] E. Pawłuszewicz, Uniwersa funkcyjne i różnicowe, Zeszyty Naukowe Politechniki Białostockiej “Matematyka – Fizyka – Chemia”, Białystok, Poland, 19 (2000).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG1-0010-0043