The fractional representations of a class of nonlinear systems
- 7 January 2003
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 72, 963-968
- https://doi.org/10.1109/cdc.1989.70269
Abstract
Right and left coprime fractional representations are shown to exist for a special class of nonlinear systems that have both controller and observer forms. A generalized Bezout identity is given for this class of nonlinear systems. Using the controller form, it is possible to design a nonlinear feedback controller. The given system can be right factorized into a composite of a stable postprocessor and an inverse of a stable preprocessor. The right-coprimeness concept is based on this right factorization. When the postprocessor and preprocessor are combined, they form a higher dimensional system. The existence of a stable left inverse of this higher order system constitutes the authors' definition of right coprimeness.Keywords
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