scholarly journals Regional Boundary Asymptotic Gradient Full-Order Observer in Distributed Parabolic Systems

2020 ◽  
Vol 18 ◽  
pp. 28-45
Author(s):  
Raheam Al-Saphory ◽  
Zinah A. Khalid
Keyword(s):  
Dynamical System ◽  
Boundary Conditions ◽  
Domain Boundary ◽  
Original System ◽  
Parabolic Systems ◽  
Distributed Parameter ◽  
Usual Sense ◽  
Luenberger Observer ◽  
Different Types ◽  
Regional Boundary

The purpose of this paper is to explore the concept of the regional boundary asymptotic gradient full order observer (RBAGFO-observer) in connection with the characterizations of sensors structures. Then, we present various results related to different types of measurements, domains and boundary conditions for distributed parameter systems (DPSS) in parabolic systems problem.  The considered approach of this work is derived from Luenberger observer theory which is enable to estimate asymptotically the state gradient of the original system on a sub-region of the domain boundary  in order that the RBAGFO-observability notion to be achieved. We also show that there exists a dynamical system for the considered system is not BAGFO-observer in the usual sense, but it may be regional RBAGFO-observer.

scholarly journals Regional Boundary Strategic Sensors Characterizations

2018 ◽  
Vol 14 (2) ◽  
pp. 7834-7850 ◽  
Author(s):  
Raheam Al-Saphory ◽  
Hind K. Kolaib
Keyword(s):  
Domain Boundary ◽  
Distributed Parameter ◽  
Usual Sense ◽  
Time Interval ◽  
Two Dimensional ◽  
Infinite Time ◽  
Infinite Dimensional ◽  
Infinite Time Interval ◽  
Boundary Observability ◽  
Regional Boundary

This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of system is governed by strongly continuous semi-groups. More precisely, for parabolic distributed systems the characterizations of regional  boundary strategic sensors have been discussed and analyzed in different cases of regional  boundary observability in infinite time interval. Furthermore, the results so obtained are applied in two-dimensional systems and sensors studied under which conditions guarantee regional boundary observability in a sub-region of the system domain boundary.  Also, the authors show that, the existent of a sensor for the diffusion system is not strategic in the usual sense, but it may be regional  boundary strategic of this system.

scholarly journals REGIONAL EXPONENTIAL GENERAL OBSERVABILITY IN DISTRIBUTED PARAMETER SYSTEMS

2015 ◽  
Vol 11 (4) ◽  
pp. 5167-5183
Author(s):  
Raheam A. M. Al-Saphory
Keyword(s):  
Dynamical System ◽  
Distributed Parameter Systems ◽  
Diffusion System ◽  
Distributed Parameter ◽  
Usual Sense ◽  
Two Dimensional

The purpose of this paper is to explore the concept of regional exponential general observability for a class of distributed parameter systems, in connection with the regional strategic sensors. Then, we give characterization of the strategic sensors in order that exponential regional general observability can be achieved. Furthermore, we apply these results to one and two dimensional systems, and various cases of sensors are considered and discussed. We also show that there exists a dynamical system for diffusion system is not exponentially general observable in the usual sense, but it may be regionally exponentially general observable.

Stability Criterion For Linear Oscillatory Parabolic Systems

1992 ◽  
Vol 114 (1) ◽  
pp. 175-178 ◽  
Author(s):  
Keum S. Hong ◽  
Joseph Bentsman
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Numerical Simulations ◽  
Stability Criterion ◽  
Neumann Boundary ◽  
Parabolic Systems ◽  
Neumann Boundary Conditions ◽  
Distributed Parameter ◽  
Parabolic Partial Differential Equations

This paper presents a stability criterion for a class of distributed parameter systems governed by linear oscillatory parabolic partial differential equations with Neumann boundary conditions. The results of numerical simulations that support the criterion are presented as well.

scholarly journals Regional Boundary Gradient Detectability in Distributed Parameter Systems

2018 ◽  
Vol 14 (2) ◽  
pp. 7818-7833 ◽  
Author(s):  
Raheam Al Saphory ◽  
Mrooj Al Bayati
Keyword(s):  
Hilbert Space ◽  
Domain Boundary ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
System State ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Unknown System ◽  
Regional Boundary ◽  
Boundary Gradient

The aim of this paper is study and explore the notion of  the regional boundary gradient detectability in connection with the choice of strategic gradient sensors on sub-region of the considered system domain boundary. More precisely, the principal reason behind introducing this notion is that the possibility to design a dynamic system (may be called regional boundary gradient observer) which enable to estimate the unknown system state gradient. Then for linear infinite dimensional systems in a Hilbert space,  we give various new results related with different measurements. In addition, we provided a description of the regional boundary exponential gradient strategic sensors for completion the regional boundary exponential gradient observability and regional boundary exponential gradient detectability. Finally, we present and illustrate the some applications of sensors structures which relate by regional boundary exponential gradient detectability in diffusion distributed parameter systems.

scholarly journals REGIONAL BOUNDARY ASYMPTOTIC GRADIENT FULL ORDER OBSERVER VIA INTERNAL REGION

2020 ◽  
Vol 25 (1) ◽  
pp. 40-45 ◽  
Author(s):  
Al-Saphory Reaheam
Keyword(s):  
Dynamical System ◽  
Usual Sense ◽  
Internal Region ◽  
Current State ◽  
Regional Boundary

The purpose of this paper is to deals with the problem of regional boundary asymptotic gradient full order observer (-observer) concept by using internal regional case. Thus, we study the relation between this notion and the corresponding asymptotic detectability and sensors. More precisely, various important results have been examined and explored concern an extension of an approach which enables to  reconstruct the gradient of current state from internal region. In addition, it has been shown that the characterization of -observability under which conditions  to be achieved.  Finally, we have illustrate that there is a dynamical system which does not represent the observer in the usual sense, but it could be interpreted as a -observer.

scholarly journals An Advanced Galerkin Approach to Solve the Nonlinear \\[6pt]Reaction-Diffusion Equations With Different Boundary Conditions

2022 ◽  
Vol 14 (1) ◽  
pp. 30
Author(s):  
Hazrat Ali ◽  
Md. Kamrujjaman ◽  
Md. Shafiqul Islam
Keyword(s):  
Boundary Conditions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Parabolic Partial Differential Equations ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Nonlinear Parabolic ◽  
Comparison Results ◽  
Different Types ◽  
Convergence And Stability Analysis

This study proposed a scheme originated from the Galerkin finite element method (GFEM) for solving nonlinear parabolic partial differential equations (PDEs) numerically with initial and different types of boundary conditions. The scheme is applied generally handling the nonlinear terms in a simple way and throwing over restrictive assumptions. The convergence and stability analysis of the method are derived. The error of the method is estimated. In the series, eminent problems are solved, such as  Fisher's equation, Newell-Whitehead-Segel equation, Burger's equation, and  Burgers-Huxley equation to demonstrate the validity, efficiency, accuracy, simplicity and applicability of this scheme. In each example, the comparison results are presented both numerically and graphically

scholarly journals ANALYSIS OF STUDENT FORMULA CAR FOR OPTIMUM SAFETY AND PERFORMANCE

2020 ◽  
pp. 137-142
Author(s):  
Rabi Pathak
Keyword(s):  
Boundary Conditions ◽  
Weight Reduction ◽  
Structural Performance ◽  
Complete Analysis ◽  
Loading Conditions ◽  
Different Types ◽  
And Performance ◽  
Reliability Performance ◽  
Ansys Workbench

The Formula Student competitions are held everyyear. This paper is the result of the analysis done on the sample car design that can be presented in the Formula Student competition. The purpose of the paper is to provide a final summary on chassis analysis and structural performance. It also talks about all the important analysis that is to be done on a Formula Student car to make it safe and perform well on the track. The design has been made such that it focusses on maximum adjustability, reliability, performance, safety, weight reduction and ease of manufacturing. The analysis was done to make sure the objectives of design are fulfilled. After going through many papers, documents, blogs and videos we found that many people get confused about the loading conditions and boundary conditions for different types of tests so this paper prioritizes to make people understand about those conditions as well as about the major tests required to perform complete analysis of Formula Student cars. The weight of the chassis was calculated as 36 kg approximately according to the data obtained from design modeler of Ansys workbench as well as Solidworks. The design sustained all the loading conditions and passed all the tests. Thus, one of the objective of this paper is to help other universities and passionate students to successfully design and analyze their cars that can pass all necessary tests included in the paper. KEYWORDS—Formula Student; FEA; Boundary Conditions; Loading Conditions; Ansys; Solidworks

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