Feedback control of affine nonlinear singular control systems

International Journal of Control

Volumn 68, Issue 4, 1997, Pages 753-774

  Xiaoping, Liu ^a   Čelikovský, Sergej ^b  

^a NORTHEASTERN UNIVERSITY   (China)

^b INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FEEDBACK CONTROL; PROBLEM SOLVING;

AFFINE NONLINEAR SINGULAR CONTROL SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0031268973     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223325     Document Type: Article

References (25)

1. D’ Andrea-Novel, B., Bastin, G., and Campion, G., 1991, Modelling and control of nonholonomic wheeled mobile robots. Proceedings of IEEE International Conference on Robotics and Automation, pp. 1130-1135.
2. Bloch, A. M., Reyhanoglu, M., and MeClamroch, N. H., 1992, Control and stabilization of nonholonomic dynamic systems. IEEE Transactions on Automatic Control, 37, 1746-1757.
3. Brenan, K. E., Campbell, S. L., and Petzold P, 1989, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (New York: Elsevier).
4. Campbell, S. L., 1982, Singular Systems of Differential Equations, Vol II (London: Pitman); 1990, Descriptor systems in the 90’s. Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, Hawaii, U.S.A. pp. 442-447.
5. Celikovsky, S., 1995, Global linearization of nonlinear systems: a survey. Geometry in Nonlinear Control and Differential Inclusions, Vol 32 (Banach Center Publications) pp. 123-137.
6. Chen, X. L., and Shayman, M. A., 1992, Dynamics and control of constrained non-linear systems with application to robotics. Proceedings of the American Control Conference, Chicago, Illinois, U.S.A., pp. 2962-2966.
7. Cristodoulou, M. A., and Paraskevopoulos, P. N., 1984, Decoupling and pole-zero placement in singular systems. Preprints of the 9th IFAC World Congress, 1, 245-250.
8. Claude, D., 1986, Everything you always wanted to know about linearization but were afraid to ask. Algebraic and geometric methods in Nonlinear Control Theory. edited by M. Fliess and M. Hazewinkel (Dordrecht, The Netherlands: Reidel) pp. 181-226.
9. Delaleau, E., and Silva, P. S. P. D., 1995, On the definition of decoupling for implicit and generalized systems. Proceedings of IFAC Conference on Systems Structure and Control, Nantes, France, pp. 31-36.
10. Dai, L. Y., 1989, Singular Control Systems (Berlin, Germany: Springer-Verlag).
11. Isidori, A., 1995, Nonlinear Control Systems, third edition (Berlin, Germany: SpringerVerlag).
12. Kawaji, S., and Taha, E. Z., 1994, Feedback linearization of a class of nonlinear descriptor systems. Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, FL, pp. 4035-4037.
13. Krishnan, H., and MeClamroch, N. H., 1994, Tracking in nonlinear differential-algebraic control systems with applications to constrained robot systems. Automatica, 30, 885-1897.
14. Kumar, A., and Daoutidis, P., 1995, Feedback control of nonlinear differential-algebraic equation systems. AIChE Journal, 41, 619-636.
15. Lewis, F., 1986, A survey of linear singular systems. Circuits, Systems and Signal Processing, 5, 3-36.
16. Lin, J. Y., and Ahmed, N. U., 1991, Approach to controllability problems for singular systems. International Journal of Control, 22, 675-690.
17. Liu, X. P., 1993 a, On linearization of nonlinear singular control systems. Proceedings of the American Control Conference, San Francisco, California, U.S.A., pp. 2284-2287; 1993 b, Input-output decoupling for nonlinear singular control systems. Preprints of the 12th IFAC World Congress, Sydney, Australia, Vol. 6, pp. 395-398; 1995 a, Solvability of nonlinear singular systems-Part I: the case without inputs. Proceedings of the American Control Conference, pp. 2257-2261; 1995 b, Solvability of nonlinear singular systems-Part II: The case with inputs. Proceedings of the American Control Conference, pp. 2261-2266; 1996, Disturbance decoupling for affine nonlinear singular control systems. Preprints of the 13th IFAC World Congress, San Francisco, California, U.S.A., Part E, pp. 239-244.
18. Me Clamroch, N. H., 1990, Feedback stabilization of control systems described by a class of nonlinear differential-algebraic equations. Systems & Control Letters, 15, 53-60.
19. Me Clamroch, N. H., and Wang, D. W., 1990, Feedback stabilization and tracking of constrained robots. IEEE Transactions on Automatic Control, 33, 419-426.
20. Nijmeijer, H., and Shaft, A. J. V. D., 1990, Nonlinear Dynamical Control Systems, (New York: Springer-Verlag).
21. Respondek, W., 1995, Geometric methods in linearization of control systems. Mathematical Control Theory, Vol. 14 (Banach Center Publications) pp. 453-467.
22. Rheinboldt R, 1991, On the existence and uniqueness of solutions of nonlinear semiimplicit differential-algebraic equations. Nonlinear Analysis, Theory, Methods and Applications, 16, 642-661.
23. Rouchon, P., Fliess, M., and Levine, J., 1992, Kronecker’s canonical forms for nonlinear implicit differential systems. Preprints of 2nd IFAC Workshop on System Structure and Control, Prague, Czechoslovakia, pp. 248-251.
24. Wonham, W. M., 1985, Linear Multivariable Control: a Geometric Approach, third edition (New York: Springer-Verlag).
25. You, L. S., and Chen, B. S., 1993, Tracking control designs for both holonomic and non-holonomic constrained mechanical systems: a unified viewpoint. International Journal of Control, 58, 587-612.