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Kybernetika 40(2):197-206, 2004.

A Geometric Solution to the Dynamic Disturbance Decoupling for Discrete-time Nonlinear Systems

Eduardo Aranda-Bricaire and Ülle Kotta


Abstract:

The notion of controlled invariance under quasi-static state feedback for discrete-time nonlinear systems has been recently introduced and shown to provide a geometric solution to the dynamic disturbance decoupling problem (DDDP). However, the proof relies heavily on the inversion (structure) algorithm. This paper presents an intrinsic, algorithm-independent, proof of the solvability conditions to the DDDP.


Keywords: controlled invariance; dynamic state feedback; disturbance decoupling; differential forms;


AMS: 58A10; 93B25; 93C55; 93C10;


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BIB TeX

@article{kyb:2004:2:197-206,

author = {Aranda-Bricaire, Eduardo and Kotta, \"{U}lle},

title = {A Geometric Solution to the Dynamic Disturbance Decoupling for Discrete-time Nonlinear Systems},

journal = {Kybernetika},

volume = {40},

year = {2004},

number = {2},

pages = {197-206}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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