TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Borisevich, Alex
A1  - Schullerus, Gernot
T1  - Parameter homotopy continuation for feedback linearization of non-regular control-affine nonlinear systems
JF  - International journal of applied mathematics
N2  - In this article feedback linearization for control-affine nonlinear systems is extended to systems where linearization is not feasible in the complete state space by combining state feedback linearization and homotopy numerical continuation in subspaces of the phase space where feedback linearization fails. Starting from the conceptual simplicity of feedback linearization, this new method expands the scope of their applicability to irregular systems with poorly expressed relative degree. The method is illustrated on a simple SISO–system and by controlling the speed and the rotor flux linkage in a three phase induction machine.
KW  - non-regular control-affine systems
KW  - homotopy continuation
KW  - feedback linearization
KW  - ill-defined relative degree
Y1  - 2015
UN  - https://nbn-resolving.org/urn:nbn:de:bsz:rt2-opus4-8528
SN  - 1311-1728
SS  - 1311-1728
U6  - https://doi.org/10.12732/ijam.v28i3.6
DO  - https://doi.org/10.12732/ijam.v28i3.6
VL  - 28
IS  - 3
SP  - 253
EP  - 273
S1  - 21
PB  - Academic Publications Ltd.
CY  - Sofia
ER  -