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On the Linearization Up to Multi-Output Injection for a Class of Systems With Implicitly Defined Outputs

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2 Author(s)
Rodrigues, S.S. ; Johann Radon Inst. for Comput. & Appl. Math. (RICAM), Linz, Austria ; Aguiar, A.P.

For a class of nonlinear systems, we investigate the problem of under what conditions there exists a coordinate transformation that yields a state affine linear system up to output injection with implicit outputs. In particular, we provide necessary and sufficient conditions for time-varying linearization up to multi-output injection. We highlight that if the conditions hold, as a consequence, it is possible in the new coordinates to construct an observer with linear error dynamics. We propose a methodology to find the coordinate transformation. Several examples illustrate the proposed procedure.

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Automatic Control, IEEE Transactions on  (Volume:59 ,  Issue: 5 )