Newton Raphson

3) Calculate a new control input that minimizes the cost function, 4) Repeat steps 2 and 3 until desired minimization is achieved, 5) Send the first control input, to the plant, 6) Repeat entire process for each time step. The computational performance of a GPC implementation is ...

Abstract— This paper describes the design and development of hexapod robot with three degrees of freedom (3 DOF) at each leg. The system developed is composed of the mechanical assembly, the circuits used to control the servomotors (Digital Signal Controller - DSC) ...

The analytical determination of internal rate of return (IRR) is computationally demanding and the computational labour tends to be compounded as the project life becomes longer. Although some commercial software exist for computing the IRR but such exist as mere products (computing aid) that never provide the fundamental theory upon which the calculation is moored or founded. As a result the user merely inputs the necessary data in the textbox, enter and a display appears showing the results; but that is just all. This paper goes beyond user-friendliness to seek to contribute to knowledge by demonstrating the plausibility of application of binomial theory and Newton-Raphson's equation to IRR calculation, an initiative that past studies have sparsely investigated. Further, the research objective is sharpened by the need to develop an easy-to-use IRR calculator. The theoretical development of the IRR calculator is rooted on Newton-Raphson's equation of Numerical Analysis and the computational scheme was programmed with Visual Basic.net 2010. Our results prove that the method advocated is sure fire and the computational accuracy, which could be approximated to the nearest one percent, is the first rate. A numerical illustration is presented. The method proposed in this study is presented in both illustrative and instructive ways thereby making the research outcome not only relevant for academic purpose but also ideally suited to industrial engineers and practising finance managers as their guide to necessary action.

The paper is about Newton Raphson Method which is all inclusive to solve the non-square and non-linear problems.
The study also aims to comparing the rate of performance, rate of convergence of bisection method, root finding of the Newton
meted and Secant method. It also represents a new approach of calculation using nonlinear equation and this will be similar to
Newton Raphson Method and inverse Jacobian matrix will be used for the iteration process and this will be further used for
distributed power load flow calculation and will also be useful in some of the applications. The paper also difference the use of
built in derivative function and self-derivative function in solving non-linear equation in scientific calculator. And paper also
discuss about single variable and multi variable Newton-Raphson techniques

This paper presents the combination of two different methods to perform the waveform analysis for PWM-operated inverter. The two techniques are Newton-Raphson method and Curve-Fitting as a PWM concept to operate PWM-based inverter, the proper solutions of switching angles can valuate the initial values by using the Newton-Raphson method with the wide-step calculation of modulation indices. The solutions are then compared using a curve in order to study the behavior. Then, the Curve-Fitting method is used to estimate the missing solutions between any points of wide-step calculation. This combination method can estimate the probable solutions that cannot be solved by Newton-Raphson method in a wide-ranging of the modulation index and reduce the calculation time. PWM-based inverter, which is obtained the switching angles by Newton-Raphson method and the combination of two different methods, is verified by the simulation results showing faster performance with improved Total Harmonic Distortion (THD) than both methods alone when compared the same values of switching angles.

This paper presents the combination of two different methods to perform the waveform analysis for PWM-operated inverter. The two techniques are Newton-Raphson method and Curve-Fitting as a PWM concept to operate PWM-based inverter, the proper solutions of switching angles can valuate the initial values by using the Newton-Raphson method with the wide-step calculation of modulation indices. The solutions are then compared using a curve in order to study the behavior. Then, the Curve-Fitting method is used to estimate the missing solutions between any points of wide-step calculation. This combination method can estimate the probable solutions that cannot be solved by Newton-Raphson method in a wide-ranging of the modulation index and reduce the calculation time. PWM-based inverter, which is obtained the switching angles by Newton-Raphson method and the combination of two different methods, is verified by the simulation results showing faster performance with improved Total Harmonic Di...

Abstract Flexible Alternating Current Transmission Systems (FACTS) devices have been proposed to be effective for controlling power flow and regulating bus voltage in electrical power systems, resulting in an increased transfer capability, low system losses and ...

The paper presents the water network optimization by selecting the optimal pipe diameters for steady state flow and water hammer. The optimization method used is the Genetic Algorithm (GA). The GA's have been used in solving the water network optimization for steady state conditions. The GA is integrated with the Newton-Raphson program and a transient analysis program to improve the search for the optimal diameters under certain constraints. These include the minimum allowable pressure head constraints at the nodes for the steady state flow, and the minimum and maximum allowable pressure heads constraints for the water hammer caused by the pump power failure. The application of the computer program to a case study shows the suitability of the method to find the least cost in a favorable number of function evaluations. This technique can be used in the first stages of the design of water distribution networks to protect it from the water hammer damages. The technique is very econ...

In this paper a Neural Network Model Predictive control is implemented, for this is describe each one of the steps, as the calculus of the function cost derivate, the calculus of the first and second derivate of the neural network and finally is present the implementation of the Newton-Raphson algorithm for the minimization of the function cost.

The paper presents the water network optimization by selecting the optimal pipe diameters for steady state flow and water hammer. The optimization method used is the Genetic Algorithm (GA). The GA’s have been used in solving the water network optimization for steady state conditions. The GA is integrated with the Newton-Raphson program and a transient analysis program to improve the search for the optimal diameters under certain constraints. These include the minimum allowable pressure head constraints at the nodes for the steady state flow, and the minimum and maximum allowable pressure heads constraints for the water hammer caused by the pump power failure. The application of the computer program to a case study shows the suitability of the method to find the least cost in a favorable number of function evaluations. This technique can be used in the first stages of the design of water distribution networks to protect it from the water hammer damages. The technique is very economic...

In this study, a single input single output (SISO) neural generalized predictive control (NGPC) was applied to a six joint robotic manipulator. The SISO generalized predictive control (GPC) was also used for comparison. Modeling of the dynamics of the ...