This article is concerned with geometric integrators which are linearization-preserving, i.e. numerical integrators which preserve the exact linearization at every fixed point of an arbitrary system of ODEs. For a canonical Hamiltonian system, we propose a new symplectic and self-adjoint B-series method which is also linearization-preserving. In a similar fashion, we show that it is possible to...

Permanent magnet machines, particularly at low power range, are widely used in the industry because of their high efficiency. They have gained popularity in variable frequency drive applications. The merits of the machine are elimination of field copper loss, higher power density, lower rotor inertia and a robust construction of the rotor (Bose 2002). In order to find effective ways of designin...

In this paper, output tracking control of a helicopter based unmanned aerial vehicle model is investigated. First, based on Newton-Euler equations, a dynamical model is derived by considering the helicopter as a rigid body upon which a set of forces and moments act. Second, we show that the model cannot be converted into a controllable linear system via exact state space linearization. In parti...

The quality of service and the respect contractual characteristics voltage is a major issue transmission system operator. In this context, code requires that wind turbine participate in regulation voltage. Any variation must be compensated by producing or absorbing reactive power. This article studies modelling control strategies energy conversion based on doubly fed induction generator. It pre...

The two control design methods for stabilizing discrete time systems are based on the notion of exact linearization with diffemorphism and feedback. On the one hand, the first method consists in developing a polynomial control law based on the exact linearization approach. This approach was developed by considering the concept of relative degree. On the other hand, the second method is based on...