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Higher order approximate feedback linearization about a manifold for multi-input systems

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2 Author(s)
Zhigang Xu ; Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA ; Hauser, J.

Considers the problem of approximately feedback linearizing a multi-input nonlinear system around the equilibrium manifold ε while making the error terms be of highest order on ε. Necessary and sufficient conditions are given for approximately feedback linearizing the system around ε with error terms of order ρ on ε. A simple multi-input example is given to illustrate the higher order approximate feedback linearization procedure

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Automatic Control, IEEE Transactions on  (Volume:40 ,  Issue: 5 )