Sensitivity and Approximation of Coupled Fluid-Structure Equations by Virtual Control Method

2005 ◽  
Vol 52 (2) ◽  
pp. 183-218 ◽  
Author(s):  
Cornel Marius Murea ◽  
Carlos Vázquez
2014 ◽  
Vol 602-605 ◽  
pp. 1508-1511
Author(s):  
Li Feng Zhu ◽  
Kai Wang ◽  
Lei Wang ◽  
Zhan Kang ◽  
Shan Li ◽  
...  

The computer virtual control method for thermostatic process of sand casting and gas forming tester system is studied in this paper. The system software is designed based on LabVIEW, which includes the design of temperature controller interface, the construction of virtual system and the design of system interface. This paper is of certain directive significance to future exploitation of virtual control system.


1984 ◽  
Vol 51 (4) ◽  
pp. 857-862 ◽  
Author(s):  
G. Garner ◽  
S. Chandra

The dynamic behavior of a finite length cylindrical rod in a fluid filled annulus is considered. The fluid and structure equations are solved simultaneously, with fluid-structure coupling accounted for. Coupled mode shapes and natural frequencies are obtained for various cases. It is found that for short lengths and/or higher modes, the effect of the fluid on the cylinder motion diminishes compared to the infinite cylinder case. In addition, coupled and in-vacuum mode shapes can differ in certain cases.


Author(s):  
Yongxing Wang ◽  
Peter K. Jimack ◽  
Mark A. Walkley ◽  
Dongmin Yang ◽  
Harvey M. Thompson

AbstractIn this article, we derive an adjoint fluid-structure interaction (FSI) system in an arbitrary Lagrangian-Eulerian (ALE) framework, based upon a one-field finite element method. A key feature of this approach is that the interface condition is automatically satisfied and the problem size is reduced since we only solve for one velocity field for both the primary and adjoint system. A velocity (and/or displacement)-matching optimisation problem is considered by controlling a distributed force. The optimisation problem is solved using a gradient descent method, and a stabilised Barzilai-Borwein method is adopted to accelerate the convergence, which does not need additional evaluations of the objective functional. The proposed control method is validated and assessed against a series of static and dynamic benchmark FSI problems, before being applied successfully to solve a highly challenging FSI control problem.


2021 ◽  
Vol 33 (12) ◽  
pp. 123102
Author(s):  
Yi Zhang ◽  
Shuyue Wang ◽  
Hao Zhang ◽  
Gang Sun

Energies ◽  
2019 ◽  
Vol 12 (22) ◽  
pp. 4270
Author(s):  
Zheng ◽  
Yang ◽  
Li ◽  
Ma

In order to keep the ammonia (NH3) slip of the downstream selective catalytic reduction (SCR) system at a low level and simultaneously achieve a high nitrogen oxide (NOX) conversion rate, a Luenberger-sliding mode observer based backstepping control method is proposed. Considering that the internal working condition of the catalyst cannot be measured by commercial sensors directly, a Luenberger-sliding mode observer is designed to estimate the ammonia concentration at the middle of the catalyst. In addition, based on the stepped distributed characteristic of the surface ammonia coverage ratio along the SCR axial direction, a backstepping control method is utilized for the SCR system, in which the SCR system is decomposed into two subsystems. Firstly, the Lyapunov function is designed to ensure the convergence of the downstream subsystem, and then the virtual control law is obtained. After that, taking the virtual control law as the tracking target of the upstream subsystem, the Lyapunov function of virtual control law is given. Finally, the actual control law of the whole closed loop system is acquired. Simulations under different conditions are conducted to investigate the effect of the proposed control method. In addition, comparisons with the traditional PID (Proportion Integration Differentiation) control are presented. Results show that the proposed method is much better than the PID control method in overshoot, setting time, and tracking error.


2016 ◽  
Vol 11 (02) ◽  
pp. 1650009
Author(s):  
GERASIMOS G. RIGATOS

The objective of the paper is to develop a boundary control method for the Black–Scholes PDE which describes option dynamics. It is shown that the procedure for numerical solution of Black–Scholes PDE results into a set of nonlinear ordinary differential equations (ODEs) and an associated state equations model. For the local subsystems, into which a Black–Scholes PDE is decomposed, it becomes possible to apply boundary-based feedback control. The controller design proceeds by showing that the state-space model of the Black–Scholes PDE stands for a differentially flat system. Next, for each subsystem which is related to a nonlinear ODE, a virtual control input is computed, that can invert the subsystem’s dynamics and can eliminate the subsystem’s tracking error. From the last row of the state-space description, the control input (boundary condition) that is actually applied to the Black–Scholes PDE system is found. This control input contains recursively all virtual control inputs which were computed for the individual ODE subsystems associated with the previous rows of the state-space equation. Thus, by tracing the rows of the state-space model backwards, at each iteration of the control algorithm, one can finally obtain the control input that should be applied to the Black–Scholes PDE system so as to assure that all its state variables will converge to the desirable setpoints.


Robotica ◽  
2016 ◽  
Vol 35 (8) ◽  
pp. 1690-1711 ◽  
Author(s):  
Xue Qi ◽  
Zhi-jun Cai

SUMMARYThis paper proposes a leader following formation tracking controller for multiple underactuated underwater vehicles (UUVs) which move in three dimensional space. In order to avoid the derivative of the virtual control signals, a control method based on filter backstepping is proposed. The method can significantly simplify the design process of the backstepping controller through the use of a filter rather than the analytic derivation directly to the virtual control variable. Furthermore, the influence of measurement noise is obviously weakened. The stability of the formation system of multiple UUVs has been proved based on Lyapunov stability theory. Simulation results illustrate that the designed controller can track a three-dimensional formation trajectory accurately.


2021 ◽  
pp. 43-61
Author(s):  
Rajeev Kumar Jaiman ◽  
Vaibhav Joshi

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