A 2-degree-of-freedom internal model control strategy based on U-model is presented for an unknown multivariable nonlinear systems. The proposed algorithm focuses the case where the noise is added at the input of the system and makes use of a local disturbance rejector. The unknown multivariable nonlinear system is identified by the control oriented U-model and the inverse controller is establi...

This paper focuses on using the Newton-Raphson method to solve power-flow problems. Since most computationally demanding part of is linear equations at each iteration, this study investigates different approaches both central processing unit (CPU) and graphical (GPU). Six have been developed evaluated in paper: two these run entirely CPU while other GPU, remaining are hybrid that GPU. All six d...

Finding the rotational matrix that minimizes the sum of squared deviations between two vectors is an important problem in bioinformatics and crystallography. Traditional algorithms involve the inversion or decomposition of a 3 x 3 or 4 x 4 matrix, which can be computationally expensive and numerically unstable in certain cases. Here, we present a simple and robust algorithm to rapidly determine...

We estimate the initial conditions of a multivariable dynamical system from a scalar signal, using a modified Newton-Raphson method incorporating the time evolution. We can estimate initial conditions of periodic and chaotic systems and the required length of scalar signal is very small. We also find that the information flow from one variable to the other has logarithmic dependence on time. An...

We present a simple method for the solution of one-component and multicomponent hydrodynamic equations based on the NewtonRaphson method. We show that this method can be used for the solution of stationary hydrodynamic equations. This method has been used for the calculation of the low density stellar wind models for which the multicomponent nature of the wind influences the overall wind struct...

using the highly recommended numerical techniques, a finite element computer code is developed to analyse the steady incompressible, laminar and turbulent flows in 2-d domains with complex geometry. the petrov-galerkin finite element formulation is adopted to avoid numerical oscillations. turbulence is modeled using the two equation k-ω model. the discretized equations are written in the form o...