Nonlinear feedback stabilization by tangential linearization

International Journal of Control

Volumn 68, Issue 3, 1997, Pages 673-687

  Reif, Konrad ^a   Weinzierl, Klaus ^a   Zell, Andreas ^a   Unbehaue, Rolf ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; FEEDBACK; LINEAR CONTROL SYSTEMS; LINEARIZATION; NONLINEAR CONTROL SYSTEMS; NUMERICAL ANALYSIS; OPTIMAL CONTROL SYSTEMS; STATE SPACE METHODS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; VECTORS;

CONTINUATION METHOD; ELECTRO MAGNETIC SYSTEM; HOMOTOPY METHOD;

CONTROL SYSTEM SYNTHESIS;

EID: 0031249804     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223578     Document Type: Article

References (20)

1. Allgower, E. L., and Georg, K., 1990, Numerical Continuation Methods (Berlin, Germany: Springer-Verlag).
2. Anderson, B. D., and Moore, J. B., 1971, Linear Optimal Control (Englewood Cliffs, New Jersey, U.S.A.: Prentice Hall).
3. Coron, J. M., 1994, Linearized control systems and application to smooth stabilisation, SIAM Journal on Control Optimization, 32, 358-386.
4. Deuflhard, P., 1979, A step-size control for continuation methods and its special application to multiple shooting techniques. Numer. Math., 33, 115-146.
5. Deuflhard, P., Fiedler, B., and Kunkel, P., 1987, Efficient numerical path-following beyond critical points. SIAM Journal Numerical Analysis, 24, 912-927.
6. Fliess, M., 1991, Controllability revisited. Mathematical System Theory, edited by A. Antoulas (Berlin, Germany: Springer-Verlag), pp. 463-474.
7. Heuser, H., 1990a, Lehrbuch der Analysis, 1 (Stuttgart, Germany: Teubner); 1990b, Lehrbuch der Analysis, 2 (Stuttgart, Germany: Teubner).
8. Isidori, a., 1989, Nonlinear Control Systems (Berlin, Germany: Springer-Verlag).
9. Kamen, E. W., Kargonekar, P. P., and Tannenbaum, A., 1989, Control of slowly-varying linear systems. IEEE Transactions on Automatic Control, 34, 1283-1285.
10. Lewis, F.L., 1986, Optimal Control (New York, U.S.A.: Wiley).
11. Macki, J., and Strauss, A., 1995, Introduction to Optimal Control Theory (New York, U.S. A.: Springer-Verlag).
12. Oberle, H. J., 1992, BOUNDSCO Rechenprogramm. Institut fur Angewandte Mathematik, Universität Hamburg, Germany.
13. Reif, K., Weinzierl, K., Zell, A., and Unbehauen, R., 1996, A homotopy approach for nonlinear control systems design. IEEE Transactions on Automatic Control, to be published.
14. Sharuz, S. M., and Behtash, S., 1992., Design of controllers for linear parameter-varying systems by the gain scheduling technique. Journal of Mathematical Analysis and Applications, 168, 195-217.
15. Sontag, E. D., 1987, Finite-dimensional open-loop control generators for non-linear systems, International Journal of Control, 47, 537-556; 1990, Mathematical Control Theory, (New York, U.S.A.: Springer-Verlag).
16. Stoer, J. S., and Bulirsch, R., 1993, Introduction to Numerical Analysis, (New York, U.S.A.: Springer-Verlag).
17. Sussmann, H. J., 1983, Lie brackets, real analyticity and geometric control. Differential Geometric Control Theory, edited by R. W. Brockett, R. S. Millman and H. J. Sussmann (Boston, Massachusetts, U.S.A.: Birkhauser).
18. Vidyasagar, M., 1993, Nonlinear Systems Analysis (Englewood Cliffs, New Jersey, U.S.A.: Prentice Hall).
19. Watson, L. T., Billups, S. C., and Morgan, A. P., 1987, HOMPACK a suite of codes for globally convergent homotopy algorithms. ACM Transactions Mathematical Software, 13, 281-310.
20. Weinzierl, K., 1995, Konzepte zur Steuerung und Regelung nichtlinearer Systeme auf der Basis der Jacobi-Linearisierung. Dissertation, Universität Erlangen (Aachen, Germany: Shaker).