This paper considers the position tracking problem of a voltage-controlled magnetic levitation system. It is well known that the control problem is quite complicated and challenging due to inherent nonlinearities associated with the electromechanical dynamics. And feedback linearization approach via coordinate transformation is considered to be a useful candidate to tackle the control problem. ...

Abstract: Feedback linearization is a common approach used in controlling nonlinear systems. The approach involves coming up with a transformation of the nonlinear system into an equivalent linear system through a change of variables and a suitable control input. In this paper a new control structure based on the application of the method of exact linearization by Direct Feedback Linearization ...

In the present work, we propose a novel polynomial approach to approximate the Input-State feedback linearization control. The aim of this new method is to simplify the implementation complexity of the exact InputState feedback linearization. Indeed, the present approach leads to an analytical control law via analytical nonlinear transformations without need to resolve a set of partial differen...

Effective and causal observable functions for low-order lifting linearization of nonlinear controlled systems are learned from data by using neural networks. While Koopman operator theory allows us to represent a system as linear in an infinite-dimensional space observables, exact is guaranteed only autonomous with no input, finding effective approximation remains open question. Dual-Faceted Li...

Recently, exact conditions for the existence of the least common subsumer (lcs) computed w.r.t. general EL-TBoxes have been devised [13]. This paper extends these results and provides necessary and suffcient conditions for the existence of the lcs w.r.t. EL-TBoxes. We show decidability of the existence in PTime and polynomial bounds on the maximal role-depth of the lcs, which in turn yields a c...

The relative performance of a non-linear FAS multigrid algorithm and an equivalent linear multigrid algorithm for solving two di erent non-linear problems is investigated. The rst case consists of a transient radiation-di usion problem for which an exact linearization is available, while the second problem involves the solution of the steady-state Navier-Stokes equations, where a rst-order disc...

This paper investigates the polytope associated with the classical standard linearization technique for the unconstrained optimization of multilinear polynomials in 0-1 variables. A new class of valid inequalities, called 2-links, is introduced to strengthen the LP relaxation of the standard linearization. The addition of the 2-links to the standard linearization inequalities provides a complet...