Feedback Control Based on Equilibrium Manifold Expansion Remodeling of SI Nonlinear Systems

An improved remodeling and feedback control approach for nonlinear systems with single input (SI) based on equilibrium manifold expansion (EME) is re-visited. More precisely, the modeling mismatch of the EME model with respect to the nonlinear system is derived and examined carefully, while selection of gain scheduling parameters is explained and validated. In particular, parametrization of the nonlinear feedback controller based on EME is derived in details. Finally, feasibility and accuracy of the remodeling approach and the suggested feedback controller are illustrated by numerical simulations.