Control of Distributed Parameter Systems Modelled by Numerical Structures Related to Describing Partial Differential Equations
نویسنده
چکیده
In systems and control theory dynamical systems described by partial differential equations are known as distributed parameter systems. For modelling and dynamical analysis of distributed parameter systems wide possibilities are offered by virtual software environments as ANSYS, COMSOL Multiphysics, ProCAST, MODFLOW, based on numerical solution of sets of partial differential equations by finite element, finite volume, finite difference method. Paper presents actual possibilities of control of distributed parameter systems modelled by numerical structures related to describing partial differential equations in MATLAB & Simulink software environment by Distributed Parameter Systems Blockset for MATLAB&Simulink–Third-Party Product of The MathWorks www.mathworks.com/products/connections/.
منابع مشابه
Numerical Solution of Optimal Heating of Temperature Field in Uncertain Environment Modelled by the use of Boundary Control
In the present paper, optimal heating of temperature field which is modelled as a boundary optimal control problem, is investigated in the uncertain environments and then it is solved numerically. In physical modelling, a partial differential equation with stochastic input and stochastic parameter are applied as the constraint of the optimal control problem. Controls are implemented ...
متن کاملA spline collocation method for integrating a class of chemical reactor equations
. In this paper, we develop a quadratic spline collocation method for integrating the nonlinear partial differential equations (PDEs) of a plug flow reactor model. The method is proposed in order to be used for the operation of control design and/or numerical simulations. We first present the Crank-Nicolson method to temporally discretize the state variable. Then, we develop and analyze the pro...
متن کاملHeat and mass transfer of nanofluid over a linear stretching surface with Viscous dissipation effect
Boundary Layer Flow past a stretching surface with constant wall temperature, of a nanofluid is studied for heat transfer characteristics. The system of partial differential equations describing such a flow is subjected to similarity transformations gives rise to a boundary value problem involving a system of ordinary differential equations. This system is solved by a shooting method. Effect of...
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
متن کاملNumerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method
In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative of function tk. We approximate the C-F derivative in time with the help of the Legendre spectral method and approximation formula o...
متن کامل