This article is devoted to the synthesis of composite control for nonlinear singularly perturbed system using feedback linearization (FL). The idea of this method consists in converting the original nonlinear system into a linear one by means of state feedback and coordinate transformation. Then, methods of control theory for linear systems are used for system design. If the original nonlinear ...

The present paper discusses a linearization method for second order multidimensional time-invariant systems. The method approximates locally the nonlinear vector field around the equilibrium, where the solution starting from a given initial state near the equilibrium is approximated by a linear solution. This linearization is usually called local trajectory-based linearization. The approximatio...

Consideration was given to the linearization of logical functions defined by a set of pairwise orthogonal terms. The linearization is carried out by computing the autocorrelation functions. Proposed was a method consisting of (i) calculation of the autocorrelation function in the space of orthogonal terms, (ii) generation of the corresponding matrix of linear transformation, and (iii) the linea...

Convolutional neural networks (CNN) have recently achieved remarkable performance in a wide range of applications. In this research, we equip convolutional sequence-to-sequence (seq2seq) model with an efficient graph linearization technique for abstract meaning representation parsing. Our linearization method is better than the prior method at signaling the turn of graph traveling. Additionally...

Abstract In this article, a meshless numerical technique based on radial basis functions (RBFs) is proposed for the solution of singular perturbed, obstacle, and second-order boundary value problems. First, unknown function their derivatives are approximated by RBFs which reduces given problem into system algebraic equations easy to solve. The shape parameter involved in chosen hit trial method...

In this paper, a simplified marginal linearization method in autonomous Lienard systems is proposed. The new method simplified coefficients of each equation, leads to little calculation, and the time and space complexity are reduced. At last, the simulation results show that the simplified marginal linearization method in autonomous Lienard systems is of high approximation precision.

Based on the mathematical model of the permanent magnet synchronous motor (PMSM), a novel sliding mode variable structure input-output feedback linearization controller is proposed. A precision linearization method is employed to achieve input-output linearization and decoupling control of the motor, which is decoupled into a second-order linear speed subsystem and a first-order linear d-axis c...

In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of non-linear Hunter–Saxton equation. Firstly, operational matrices integration associated with are constructed by following strategy Chen Hsiao. The merged used to convert given problem into system algebraic equations that can be solved any classical method, such as Newt...