This paper deals with the use of extra freedom in the exact linearization technique. Firstly, the freedom in choosing the coordinate transformation and nonlinear state feedback for the exact linearization is clarified. Secondly, a controller design strategy for the transient behavior improvement in the presence of impulsive disturbances is shown. Finally, numerical and experimental examples exh...

In this paper, we are interested in linearization techniques for exact resolution of the Unconstrained Quadratic (0-1) Problem. Our purpose is to propose ”economical” linear formulations. We first extend the current techniques in a general linearization framework containing many other schemes and propose a new linear formulation. Numerical results comparing classical, Glover’s and the new linea...

In this paper, we develop a method to design the input control to track the output of a nonminimum-phase nonlinear systems asymptotically. The design of the control inputs is based on an exact linearization. To perform the exact linearization, the other output should be selected such that its relative degree is equal to the dimension of the system. Furthermore, the desired output of the output ...

This paper is concerned with the use of freedom in the exact linearization technique. First, the freedom of the coordinates transformation and nonlinear state feedback in the exact linearization is clari ed as the preparation for its use. Second, we consider the transient behavior improvement in the presence of impulsive disturbances. Finally, we give a numerical example and an experiment to sh...

The introduction of state equation model of the electrical machine based on direct and quadrature axes variables has paved the way for powerful control theories to be brought to bear on the problem of control of electric machines. Exact linearization has been applied to the control of permanent magnet synchronous motor (PMSM). In this paper, application of approximate linearization is proposed ...

The method of exact linearization nonlinear ordinary differential equations (ODE) of order n suggested by one of the authors is demonstrated in [1, 2]. This method is based on the factorization of nonlinear ODE through the first order nonlinear differential the operators, and is also based on using both point and nonpoint, local and nonlocal transformations. Exact linearization of autonomous th...

Let K be a complete ultrametric field. We give lower and upper bounds for the size of linearization discs for power series overK near hyperbolic fixed points. These estimates are maximal in the sense that there exist examples where these estimates give the exact size of the corresponding linearization disc. In particular, at repelling fixed points, the linearization disc is equal to the maximal...