Analysis of inhomogeneous chiral slab using Taylor's series expansion

2012 ◽  
Author(s):  
Davoud Zarifi ◽  
Mohammad Soleimani ◽  
Ali Abdolali ◽  
Vahid Nayyeri
Keyword(s):  
Series Expansion ◽  
Taylor’S Series

THE EVALUATION OF CONTROLLER TRACKING PERFORMANCE BASED ON TAYLOR’S SERIES EXPANSION MODEL

2015 ◽  
Vol 74 (9) ◽  
Author(s):  
Maziyah Mat Noh ◽  
M. R. Arshad ◽  
Rosmiwati Mohd-Mokhtar
Keyword(s):  
Series Expansion ◽  
Sliding Mode ◽  
Equations Of Motion ◽  
Linear Quadratic Regulator ◽  
Tracking Performance ◽  
Convergence Time ◽  
Linear Quadratic ◽  
Glide Path ◽  
Expansion Model ◽  
Taylor’S Series

This paper presents the controller tracking performance of Underwater Glider. The controllers are designed based on linearised model. The equations of motion are restricted to longitudinal plane. The controllers are designed and tested for the glide path moving from 45° to 30° downward and upward. The model is linearised using Taylor’s series expansion linearisation method. The controller developed here is Sliding Mode Control (SMC), and Linear Quadratic Regulator (LQR). The performance of both controllers are compared and analysed. The simulations show SMC produce better performance with about over 30% faster than LQR based its convergence time.

Modeling of unsteady aerodynamic characteristics at high angles of attack

2018 ◽  
Vol 233 (6) ◽  
pp. 2291-2301 ◽  
Author(s):  
Dong Hao ◽  
Lin Zhang ◽  
Jing Yu ◽  
Daiyong Mao
Keyword(s):  
State Space ◽  
Series Expansion ◽  
Angular Rate ◽  
Minimum Mean Square Error ◽  
Aerodynamic Characteristics ◽  
Unsteady Aerodynamic ◽  
Aerodynamic Model ◽  
Constant Pitch ◽  
High Angles Of Attack ◽  
Taylor’S Series

An improved model to express the unsteady aerodynamic characteristics at high angles of attack is presented in this paper. The proposed aerodynamic model is expressed on the basis of a progressive state-space representation and Taylor’s series expansion. The state-space expression is a first-order differential equation in which the power item of the angular rate of attack is introduced. The unsteady aerodynamic coefficients are described by Taylor’s series expansion in terms of input variables. The approach of minimum mean square error criterion is utilized to identify the unknown parameters of the proposed model by nonlinear least square method from the tunnel data. The given modeling method is experimentally demonstrated by the wind tunnel measurements of NACA 0015 airfoil with constant rate to high angles of attack, F18 aircraft with constant pitch rate ramp motion, and F18 HARV (high alpha research vehicle) configuration with large-amplitude harmonic oscillatory. The results show that it is possible to analyze more complex unsteady aerodynamic problems for an aircraft within the framework of the proposed aerodynamic model and the represented model is directly amenable to the simulation and control system design.

scholarly journals A new quasi-newton equation on the gradient methods for optimization minimization problem

2020 ◽  
Vol 19 (2) ◽  
pp. 737
Author(s):  
Basim Abbas Hassan ◽  
Ghada M. Al-Naemi
Keyword(s):  
Global Convergence ◽  
Series Expansion ◽  
Minimization Problem ◽  
Gradient Methods ◽  
Bfgs Method ◽  
Newton Methods ◽  
Newton Equation ◽  
The Given ◽  
Quasi Newton ◽  
Taylor’S Series

<p><span>The quasi-Newton equation is the very foundation of an assortment of </span><span>the quasi-Newton methods for optimization minimization problem. In this paper, we deriving a new quasi-Newton equation based on the second-order Taylor’s series expansion. The global convergence is established underneath suitable conditions and numerical results are reported to show that the given algorithm is more effective than those of the normal BFGS method.</span></p>

scholarly journals Analyzing a New Third Order Iterative Method for Solving Nonlinear Problems

2021 ◽  
pp. 72-90
Author(s):  
M. S. Ndayawo ◽  
B. Sani
Keyword(s):  
Iterative Method ◽  
Series Expansion ◽  
Nonlinear Problems ◽  
Third Order ◽  
Numerical Examples ◽  
Adomian Method ◽  
The Individual ◽  
New Iterative Method ◽  
Number Of Iterations ◽  
Taylor’S Series

In this paper, we propose and analyse a new iterative method for solving nonlinear equations. The method is constructed by applying Adomian method to Taylor’s series expansion. Using one-way analysis of variance (ANOVA), the method is being compared with other existing methods in terms of the number of iterations and solution to convergence between the individual methods used. Numerical examples are used in the comparison to justify the efficiency of the new iterative method.

Sign in / Sign up

Export Citation Format

Share Document