Previous |  Up |  Next

Article

Keywords:
nonlinear control; decoupling
Summary:
This paper highlights the role of the rank of a differential one-form in the solution of such nonlinear control problems via measurement feedback as disturbance decoupling problem of multi-input single output (MISO) systems. For the later problem, some necessary conditions and sufficient conditions are given.
References:
[1] Andiarti R., Moog C. H.: Output feedback disturbance decoupling in nonlinear systems. IEEE Trans. Automat. Control 41 (1996), 1683–1689 DOI 10.1109/9.544009 | MR 1419696 | Zbl 0863.93039
[2] Bryant R. L., Chern S. S., Gardner R. B., Goldschmidt H. L., Griffiths P. A.: Exterior Differential Systems. Springer–Verlag, New York 1991 MR 1083148 | Zbl 0726.58002
[3] Conte G., Moog C. H., Perdon A. M.: Nonlinear Control Systems: An Algebraic Setting. (Lecture Notes in Control and Information Science 242.) Springer–Verlag, London 1999 DOI 10.1007/3-540-48443-4 | MR 1687965 | Zbl 0920.93002
[4] Hermes H.: Involutive subdistributions and canonical forms for distributions and control systems. In: Theory and Applications of Nonlinear Control Systems (C. I. Byrnes and A. Lindquist, eds.), North–Holland, Amsterdam 1986, pp. 123–135 MR 0935372 | Zbl 0621.93023
[5] Huijberts H. J. C., Colpier, L., Moreau P.: Nonlinear input-output decoupling by static output feedback. In: Proc. 3rd European Control Conference (EEC’95), Rome 1995, pp. 1057–1062
[6] Isidori A.: Nonlinear Control Systems. Second edition. Springer–Verlag, Berlin 1989 MR 1015932 | Zbl 0931.93005
[7] Isidori A., Krener A. J., Giorgi, C. Gori, Monaco S.: Nonlinear decoupling via feedback: a differential geometric approach. IEEE Trans. Automat. Control 26 (1981), 331–345 DOI 10.1109/TAC.1981.1102604 | MR 0613540 | Zbl 0481.93037
[8] Nijmeijer H., Schaft A. J. van der: Nonlinear dynamical control systems. Springer–Verlag, New York 1990 MR 1047663
[9] Xia X., Moog C. H.: Disturbance decoupling by measurement feedback for SISO nonlinear systems. IEEE Trans. Automat. Control 44 (1999), 1425–1429 DOI 10.1109/9.774115 | MR 1697431 | Zbl 0954.93016
Partner of
EuDML logo