Characterization of static feedback realizable transfer functions for nonlinear control systems

International Journal of Robust and Nonlinear Control

Volumn 8, Issue 11, 1998, Pages 979-994

  Huijberts, H J C ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Feedback linearization; Input output linearization; Static state feedback

Indexed keywords

CONTROL SYSTEM ANALYSIS; LINEARIZATION; MATHEMATICAL MODELS; POLES AND ZEROS; STATE FEEDBACK; STATE SPACE METHODS; TRANSFER FUNCTIONS;

FEEDBACK LINEARIZATION; INPUT-OUTPUT LINEARIZATION;

NONLINEAR CONTROL SYSTEMS;

EID: 0032163566     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199809)8:11<979::AID-RNC372>3.0.CO;2-P     Document Type: Article

References (21)

1. Isidori, A. and A. Ruberti, 'On the synthesis of linear input-output responses for nonlinear systems', Systems Control Lett., 4, 17-22 (1984).
2. Isidori, A., Nonlinear Control Systems: An Introduction, LNCIS, Vol. 72, Springer, Berlin, 1985.
3. Isidori, A., Nonlinear Control Systems, 2nd edn, Springer, Berlin, 1989.
4. Nijmeijer, H. and A. J. van der Schaft, Nonlinear Dynamical Control Systems, Springer, New York, 1990.
5. Paraskevopoulos, P. N., A. S. Tsirikos and E. A. Karagianni, 'Robust tracking of an inverted pendulum via a new linear exact model matching technique', Proceedings CDC, New Orleans, U.S.A., 1995, pp. 1676-1683.
6. Aranda-Bricaire, E., C. H. Moog and J. B. Pomet, 'A linear algebraic framework for dynamic feedback linearization, IEEE Trans. Automat. Control, 40, 127-132 (1995).
7. Marino, R., 'On the largest feedback linearizable subsystem', Systems Control Lett., 7, 345-351 (1986).
8. Cheng, D., A. Isidori, W. Respondek and T. J. Tarn, 'Exact linearization of nonlinear systems with outputs', Math. Systems Theory, 21, 63-83 (1988).
9. Hunt, L. R., and M. S. Verma, 'Linear dynamics hidden by input-output linearization', Int. J. Control, 53, 731-740 (1991).
10. Xu, Z. and L. R. Hunt, 'On the largest input-output linearizable subsystem', IEEE Trans. Automat. Control, AC-41, 128-132 (1996).
11. Xu, Z. and L. R. Hunt, 'Dimensions of linear subsystems of nonlinear systems', Proceedings CDC, New Orleans, U.S.A., 1995, pp. 2263-2268.
12. Xia, X., Personal communication, 1995.
13. Van der Waerden, B. L., Algebra, Springer, New York, 1991.
14. Gantmacher, F. R., Théorie des matrices, Editions Jacques Gabay, Sceaux, 1990.
15. Tarski, A., A Decision Method for Elementary Algebra and Geometry, 2nd edn, University of California Press, Berkeley, 1951.
16. Collins, G. E., Quantifier elimination for real closed fields by cylindrical algebraic decomposition, In Second GI Conf. Automata theory and formal languages, LNCS 33, Springer, Berlin, 1975, pp. 134-183.
17. Arnon, D. S., G. E. Collins and S. McCallum, 'Cylindrical algebraic decomposition I: the basic algorithm', SI AM J. Comput., 13, 865-877 (1984).
18. Davenport, J. H., Y. Siret and E. Tournier, 'Computer algebra', Systems and Algorithms for Algebraic Computation, Academic Press, New York, 1988.
19. Grizzle, J. W., H. J. C. Huijberts and C.H. Moog, 'Characterizations of linear subsystems of nonlinear control systems', in preparation.
20. Hunt, L. R., R. Su, and G. Meyer, 'Design for multi-input nonlinear systems', in Differential Geometric Control Theory, R. S. Millman and H. Sussmann (Eds), Birkhauser, Boston, 1983, pp. 268-298.
21. Jakubczyk, B. and W. Respondek, 'On linearization of control systems', Bull. Acad. Polon. Sci. Ser. Sci. Math., 28, 517-522 (1980).