论文信息 - MINIMAL ORDER DISCRETE-TIME NONLINEAR SYSTEM INVERSION

MINIMAL ORDER DISCRETE-TIME NONLINEAR SYSTEM INVERSION

The left-inverse system with minimal order of a discrete-time nonlinear system is studied in a linear algebraic framework. The general structure of the left inverse is described. Two algorithms are given for constructing left-inverse systems having minimal order.

Robin J. Evans | Yufan Zheng | R. Evans | Yufan Zheng

[1] Li Cao,et al. Reduced inverse for controlled systems , 1993, Math. Control. Signals Syst..

[2] Sahjendra N. Singh. Invertibility of observable multivariable nonlinear systems , 1982 .

[3] Jessy W. Grizzle,et al. Rank invariants of nonlinear systems , 1989 .

[4] Sahjendra N. Singh. A modified algorithm for invertibility in nonlinear systems , 1981 .

[5] P. Lucibello,et al. Inversion of nonlinear time-varying systems , 1993, IEEE Trans. Autom. Control..

[6] R. Hirschorn. Invertibility of Nonlinear Control Systems , 1979 .

[7] B. Paden,et al. Stable Inversion for Nonlinear Nonminimum-Phase , 1998 .

[8] Eduardo Aranda-Bricaire,et al. Linearization of Discrete-Time Systems , 1996 .

[9] Yufan Zheng,et al. On minimal compensators for decoupling control , 1992 .

[10] M. Fliess. A note on the invertibility of nonlinear input-output differential systems , 1986 .

[11] R. Hirschorn. Invertibility of multivariable nonlinear control systems , 1979 .

[12] S. Lang. Fundamentals of differential geometry , 1998 .

[13] Ülle Kotta,et al. Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems , 1995 .

[14] Jessy W. Grizzle. A linear algebraic framework for the analysis of discrete-time nonlinear systems , 1993 .

[15] C. Moog,et al. Nonlinear Control Systems: An Algebraic Setting , 1999 .