In this paper, our focus is to compare two decentralized control laws implemented to a three-machine power system which generators are strongly nonlinear interconnected. We present first a linear decentralized control, which gains depend on the system nonlinearity, and confirm, via simulations, its ability to enhance the system transient stability. The second technique is a nonlinear decentrali...

Nonlinear normalization (NLN) by line density equalization has been popularly used in handwritten Chinese character recognition (HCCR). To overcome the intensive computation of local line density and the excessive shape distortion of NLN, we tested some alternative methods based on global transformation, including a moment-based linear transformation and two nonlinear methods based on quadratic...

Sinc-Galerkin method based upon double exponential transformation for solving Troesch's problem was given in this study. Properties of the Sinc-Galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.The error bound of the method was found. ...

evolving models have found applications in many real world systems. in this paper, potentials of the evolving linear models (elms) in tracking control design for nonlinear variable structure systems are introduced. at first, an elm is introduced as a dynamic single input, single output (siso) linear model whose parameters as well as dynamic orders of input and output signals can change through ...

A substantial number of linear and nonlinear feature space transformation methods have been proposed in recent years. Using the so-called ”kernel-idea” well-known linear techniques such as Principal Component Analysis(PCA), Linear Discriminant Analysis(LDA) and Independent Component Analysis(ICA) can be non-linearized in a general way. The aim of this paper here is twofold. First, we describe t...

Adaptive extremum-seeking controllers are used to handle uncertainties in the modelling of industrial processes. Although these controllers are capable to handle uncertain parameters, an additional persistence of excitation condition is necessary to prove the convergence of these unknown parameters to their true values. If complex non-linear models are used it is not dear how this condition can...

A new approach for obtaining the transformations of solutions of nonlinear ordinary differential equations representable as the compatibility condition of the overdetermined linear systems is proposed. The corresponding transformations of the solutions of the overdetermined linear systems are derived in the frameworks of the Darboux transformation technique.

We consider the problem of stabilization of unstable “shock-like” equilibrium profiles of the viscous Burgers’ equation with actuation at the boundaries. These equilibria are not stabilizable (even locally) using the standard “radiation boundary condition.” Using a nonlinear spatially-scaled transformation (that employs three ingredients, of which one is the Hopf-Cole nonlinear integral transfo...