Nonlinear Fitting

BestCurFit calculates the parameters of 12 curves using the method of Linear Least Squares, fitting each curve to user data. The nonlinear equations are linearized. The obtained parameters are used for following optimization procedure using Simplex and Gauss-Newton algorithm. If it does not... Platforms: Windows

This is a set of scripts that helps with processing of NMR pH titration data. These scripts allow for fitting (using R) and plotting of data of multiple residues. The program needs to be made more user friendly. Platforms: Windows, Mac, Linux

This 15-line matlab program solves the nonlinear reactiondiffusion equation, called Kolmogorov-Petrovskii-Piskunov(KPP) equation to generate patterns (ribbons and rings).The numerical method is simple and program is easy tounderstand, and it can be extended to simulatedmore complex systems. The... Platforms: Matlab

The function LMFsolve.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago. LMFsolve is its essentially shortened version... Platforms: Matlab

L-BFGS-B is a collection of Fortran 77 routines for solving nonlinear optimization problems with bound constraints on the variables. One of the key features of the nonlinear solver is that the Hessian is not needed. I've designed an interface to the L-BFGS-B solver so that it can be called like... Platforms: Matlab

This is the fastest (though not most accurate) method of fitting a circlle to data points on a plane (given by their xy-coordinates). It returns the circle center (a,b) and radius R. It was proposed by I. Kasa in article "A curve fitting procedure and its error analysis", IEEE Trans. Inst. Meas.,... Platforms: Matlab

Golden Section search for minimizing a nonlinear function in one dimensionDavidon-Fletcher-Powell (DFP) method. This is a method to solve an unconstrained nonlinear program Platforms: Matlab

GANSO is a programming library for global and nonsmooth, nonlinear optimization. Unlike local methods (e.g., quasi-Newton), global optimization methods aim at locating the absolute minimum of a function, not the nearest stationary point. GANSO toolbox provides an interface for calling GANSO... Platforms: Matlab

Measures of Analysis of Time Series (MATS) toolkit computes a number of different measures of analysis of scalar time series (linear, nonlinear and other statistical measures). It also contains pre-processing tools (transformations and standardizations), data splitting facility, resampled data... Platforms: Matlab

This program represents a further development of the standard powerful d-deDUnlinfitd-deDt facility already in matlab. The major problem with d-deDUnlinfitd-deDt is that it can only handle fitting of one dimensional arrays (x, y) where x is the independent variable and y is the dependent one.The... Platforms: Matlab

The Kalman filter can be interpreted as a feedback approach to minimize the least equare error. It can be applied to solve a nonlinear least square optimization problem. This function provides a way using the unscented Kalman filter to solve nonlinear least square optimization problems. Three... Platforms: Matlab

The function The LMFnlsq.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago (see the Reference). This version of LMFnlsq is... Platforms: Matlab

Single tank system nonlinear model was develop & finding the operating point of it using script file of the matlab with solving of ode for it and ploting the response Platforms: Matlab

process from the Book of Smith, Corripio - Automatic Process ControlContent:+ m-file linearization of nonlinear model+ m-file definition of the nonlinear model+ simulink models for the simulation of the process Platforms: Matlab

Firefly algorithm for nonlinear constrained optimization Platforms: Matlab

The proportional, integral and differential terms of PID control are modified by simple nonlinear terms, depending on the error.That makes the control faster, more precise and more robust.This was tested and proven at the control lab of the Munich University of Applied Science. Platforms: Matlab

This code optimises the parameters for the term structure of volatility (TSOV) applied to historical forward curves - see discussion in Harris in reference 1 below. TSOVs avaible are: TermType - 1 = sigma = A exp (-CT) - 2 = sigma = A exp (-CT) + D - 3 = sigma = (A + BT) exp (-CT) + DRequired... Platforms: Matlab

Most pH control processes are inherently high nonlinear and uncertainties with large time delay and therefore cannot be adequately controlled with a conventional PI control. In our term project, an approach to pH neutralization process control using switching ADRC with Smith Predictor will be... Platforms: Matlab

The extended Kalman filter can not only estimate states of nonlinear dynamic systems from noisy measurements but also can be used to estimate parameters of a nonlinear system. A direct application of parameter estimation is to train artificial neural networks. This function and an embeded example... Platforms: Matlab

content:+ m-file of the nonlinear model+ m-file linearization+ simulink models for the simulation system Platforms: Matlab