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ROTATION IMPLEMENTATION OF A CIRCULAR CYLINDER IN INCOMPRESSIBLE FLOW VIA STAGGERED GRID APPROACH
Xiao, Mingqing,Lin, Yuan,Myatt, James H.,Camphouse, R. Chris,Banda, Siva S. 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1
In this paper, we present a finite difference method for the implementation of the rotation of a circular cylinder in the incompressible flow field by solving the two-dimensional unsteady Navier-Stokes equations. The approach is to use staggered grid method so that the accuracy and order of convergence of the associated algorithms can be maintained. The proposed method is easy to be implemented and is effective. A set of simulations for the flow dynamics is provided to show the computational results.
Rotation Implementation of a Circular Cylinder in Incompressible Flow via Staggered Grid Approach
Mingqing Xiao,Yuan Lin,James H. Myatt,R. Chris Camphouse,Siva S. Banda 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1-2
In this paper, we present a finite difference method for the implementation of the rotation of a circular cylinder in the incompressible flow field by solving the two-dimensional unsteady Navier-Stokes equations. The approach is to use staggered grid method so that the accuracy and order of convergence of the associated algorithms can be maintained. The proposed method is easy to be implemented and is effective. A set of simulations for the flow dynamics is provided to show the computational results.
H<SUB>∞</SUB> Performance Analysis of Singular Systems via Delta Operator Method
Xin-zhuang Dong,Mingqing Xiao 제어로봇시스템학회 2014 제어로봇시스템학회 국제학술대회 논문집 Vol.2014 No.10
This paper investigates the problem of H∞ performance analysis for singular systems through delta operator method. A novel admissibility condition is developed for singular delta operator systems. Based on the above result, two conditions are established for a singular delta operator system to be admissible with an H∞ performance. All of the conditions appeared in this paper are necessary and sufficient, characterized by a set of strict linear matrix inequalities whose feasible solutions can be obtained easily by matlab-LMI toolbox. A numerical example is also provided to illustrate the effectiveness of the theoretical results in the paper.
Observer-based Admissible Control for Singular Delta Operator Systems
Xin-zhuang Dong,Mingqing Xiao,Yushun Wang,Wenxue He 제어로봇시스템학회 2014 제어로봇시스템학회 국제학술대회 논문집 Vol.2014 No.10
This paper studies the problem of designing an observer-based admissible controller for singular delta operator systems. Sufficient conditions are provided for the existence of an asymptotical and physically realizable observer. Then an observer-based admissible controller is obtained in terms of strict linear matrix inequalities. The corresponding gain matrices appeared in our proposed approach can be constructed through the feasible solutions of a set of linear matrix inequalities. Some numerical examples are presented to demonstrate the theoretical outcomes of the paper.
H∞ Control of Singular Systems via Delta Operator Method
Xin-zhuang Dong,Mingqing Xiao 제어·로봇·시스템학회 2015 International Journal of Control, Automation, and Vol.13 No.3
This paper studies the problem of state feedback H∞ control for singular systems through delta operator approach. A necessary and sufficient condition is presented such that a singular delta operator system is admissible with a prescribed H∞ performance, which can provide a unified framework of the existing H∞ performance analysis results for both continuous case and discrete case. The existence condition and explicit expression of a desirable H∞ controller are also obtained for singular delta operator systems. The proposed design method can be used for both singular continuous systems and singular discrete systems directly. The corresponding design procedures, which simplify the classical approaches, are discussed and presented. All obtained conditions in this paper are in the form of strict linear matrix inequalities whose feasible solutions can be found by standard linear programming method. Numerical examples are provided to illustrate the effectiveness of the theoretical results obtained in this paper.