we consider an approximation scheme using haar wavelets for solving a class of infinite horizon optimal control problems (ocp's) of nonlinear interconnected large-scale dynamic systems. a computational method based on haar wavelets in the time-domain is proposed for solving the optimal control problem. haar wavelets integral operational matrix and direct collocation method are utilized to ...

This paper describes application of Rationalized Haar Transform and Block Pulse Function for digital protection of power transformers. Digital relay algorithms are developed to extract fundamental, second harmonic and fifth harmonic components. These components are then used for harmonic restraint differential protection of power transformers. The Block Pulse Function based method is computatio...

This paper presents a numerical method based on quasilinearization and rationalized Haar functions for solving nonlinear optimal control problems including terminal state constraints, state and control inequality constraints. The optimal control problem is converted into a sequence of quadratic programming problems. The rationalized Haar functions with unknown coefficients are used to approxima...

Analytical solutions of integral equations, either do not exist or are hard to find. Due to this, many numerical methods have been developed for finding the solutions of integral equations. The use of wavelets has come to prominence during the last two decades. Wavelets can be used as analytical tools for signal processing, numerical analysis and mathematical modeling. The early works concernin...

Postnicov [22], in 2003, proposed an algorithm to compute the Hankel transforms of order zero and one by using Haar wavelets. But the proposed method faced problems in the evaluation of zero order Hankel transform. The purpose of this paper is to overcome this problem and obtain an efficient algorithm for evaluating Hankel transform of order zero by using rationalized Haar wavelets. Exact analy...

A direct method for solving nonlinear two-dimensional Fredholm integral equations (FIE) of the second kind is presented. Using two-dimensional rationalized Haar (RH) functions, the numerical solution of these equations is reduced to solving a nonlinear system of algebraic equations. Numerical examples are presented to demonstrate the effectiveness of the proposed method.