论文信息 - Nonlinear decoupling via feedback: A differential geometric approach

Nonlinear decoupling via feedback: A differential geometric approach

The paper deals with the nonlinear decoupling and noninteracting control problems. A complete solution to those problems is made possible via a suitable nonlinear generalization of several powerful geometric concepts already introduced in studying linear multivariable control systems. The paper also includes algorithms concerned with the actual construction of the appropriate control laws.

A. Isidori | A. Krener | C. Gori-giorgi | S. Monaco

[1] P. Falb,et al. Decoupling in the design and synthesis of multivariable control systems , 1967, IEEE Transactions on Automatic Control.

[2] G. Basile,et al. Controlled and conditioned invariant subspaces in linear system theory , 1969 .

[3] W. Porter. Decoupling of and inverses for time-varying linear systems , 1969 .

[4] A. Morse,et al. Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach , 1970 .

[5] A. Morse,et al. Status of noninteracting control , 1971 .

[6] H. Sussmann,et al. Controllability of nonlinear systems , 1972 .

[7] A. Krener. A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems , 1974 .

[8] E. Kreund,et al. The structure of decoupled non-linear systems , 1975 .

[9] Arthur J. Krener,et al. A Decomposition Theory for Differentiable Systems , 1975 .

[10] P. Sinha. State feedback decoupling of nonlinear systems , 1977 .

[11] A. Krener,et al. Nonlinear controllability and observability , 1977 .

[12] Roger W. Brockett,et al. Feedback Invariants for Nonlinear Systems , 1978 .

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