Evaluation of parameters in nonlinear models by the least squares method

1998 ◽  
Vol 22 (6) ◽  
pp. 509-513 ◽  
Author(s):  
Ján Mikuláš Lisý ◽  
Peter Šimon
Author(s):  
Meisam Vahabi ◽  
Emad Mehdizadeh ◽  
Mansour Kabganian ◽  
Farshad Barazandeh

Ionic polymer metal composite is a class of electro-active polymers that are becoming more significant as smart actuators due to their large bending deflection, mechanical flexibility, low excitation voltage, low density, and ease of fabrication process. These properties make IPMCs suitable for a variety of application fields such as robotics, aerospace, biomedicine etc. There are a lot of linear and nonlinear models which describe actuation properties of IPMC. These models’ parameters may be obtained by various identification methods in which only a very few are nonlinear. Besides, there has been no model that explains all the physical phenomena associated with this actuator. In this paper, a new identification method is presented which incorporates a nonlinear with linear least squares method. This method is implemented on a nonlinear model. This model in comprised of two steps; as a first step, nonlinear relationship between the absorbed current and the voltage applied and as a second step relationship between the absorbed current and the blocked force are determined. The first and second steps are identified using a nonlinear and linear least squares methods, respectively.


2014 ◽  
Vol 484-485 ◽  
pp. 907-911
Author(s):  
Jun Sun

The construction of object 3-dimensional image is the thinking base of machine learning, it is important to machine recognize the outside world. The current algorithms of object 3-dimensional image construction are mainly based on the least squares method (LSM) in linear or nonlinear models, all of them existed some defects and deficiencies. The paper introduced the construction principle of 3-dimensional image by support vector machine, then the algorithm and step was put forward, as well as the key code in the Matlab7.4.


1980 ◽  
Vol 59 (9) ◽  
pp. 8
Author(s):  
D.E. Turnbull

2020 ◽  
Vol 1 (3) ◽  
Author(s):  
Maysam Abedi

The presented work examines application of an Augmented Iteratively Re-weighted and Refined Least Squares method (AIRRLS) to construct a 3D magnetic susceptibility property from potential field magnetic anomalies. This algorithm replaces an lp minimization problem by a sequence of weighted linear systems in which the retrieved magnetic susceptibility model is successively converged to an optimum solution, while the regularization parameter is the stopping iteration numbers. To avoid the natural tendency of causative magnetic sources to concentrate at shallow depth, a prior depth weighting function is incorporated in the original formulation of the objective function. The speed of lp minimization problem is increased by inserting a pre-conditioner conjugate gradient method (PCCG) to solve the central system of equation in cases of large scale magnetic field data. It is assumed that there is no remanent magnetization since this study focuses on inversion of a geological structure with low magnetic susceptibility property. The method is applied on a multi-source noise-corrupted synthetic magnetic field data to demonstrate its suitability for 3D inversion, and then is applied to a real data pertaining to a geologically plausible porphyry copper unit.  The real case study located in  Semnan province of  Iran  consists  of  an arc-shaped  porphyry  andesite  covered  by  sedimentary  units  which  may  have  potential  of  mineral  occurrences, especially  porphyry copper. It is demonstrated that such structure extends down at depth, and consequently exploratory drilling is highly recommended for acquiring more pieces of information about its potential for ore-bearing mineralization.


1984 ◽  
Vol 49 (4) ◽  
pp. 805-820
Author(s):  
Ján Klas

The accuracy of the least squares method in the isotope dilution analysis is studied using two models, viz a model of a two-parameter straight line and a model of a one-parameter straight line.The equations for the direct and the inverse isotope dilution methods are transformed into linear coordinates, and the intercept and slope of the two-parameter straight line and the slope of the one-parameter straight line are evaluated and treated.


Sign in / Sign up

Export Citation Format

Share Document