A sufficient condition for exact linearization of a nonlinear system via an exponential transformation is obtained as a Lagrange partial differential equation. When its solution can be found, the transformation is determined such that the nonlinear systemis exactly converted into a linear system with arbitrary dynamics. When the transformation is invertible, this technique can be applied to exa...

This paper presents an adaptive feedback linearization approach to derive helicopter. Ideal feedback linearization is defined for the cases when the system model is known. Adaptive feedback linearization is employed to get asymptotically exact cancellation for the inherent uncertainty in the knowledge of the given parameters of system. The control algorithm is implemented using the feedback lin...

An adaptive linearization scheme based on the exact model-matching (EMM) approach is proposed to compensate nonlinearity of high power amplifiers (HPAs). It is illustrated that the input-output property of the broadband amplifier system can be approximated by a memory polynomial model (MPM). Then, the compensation of HPA input is determined from the MPM in a real-time manner, and consequently, ...

Locally exact integrators preserve linearization of the original system at every point. We construct energy-preserving locally exact discrete gradient schemes for arbitrary multidimensional canonical Hamiltonian systems by modifying classical discrete gradient schemes. Modifications of this kind are found for any discrete gradient. PACS Numbers: 45.10.-b; 02.60.Cb; 02.70.-c; 02.70.Bf MSC 2000: ...