Journal ArticleDOI
Brief paper: Distributed parameter system optimum control design via finite element discretization
R. K. Cavin,S. C. Tandon +1 more
TLDR
It is demonstrated that methods can readily be applied to solve problems involving nonlinear Neumann boundary conditions in the problem of designing an optimum distributed parameter system.About:
This article is published in Automatica.The article was published on 1977-11-01. It has received 25 citations till now. The article focuses on the topics: Mixed finite element method & Distributed parameter system.read more
Citations
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Journal ArticleDOI
Optimal control of induction heating for semi-solid aluminum alloy forming
TL;DR: In this paper, the conjugate gradient method with adjoint equations is used to find an optimal heating/cooling strategy to achieve uniform temperature distribution along the radius of a cylinder in a relatively short time.
Journal ArticleDOI
Control of nonlinear distributed parameter processes using symmetry groups and invariance conditions
TL;DR: In this article, a control method for nonlinear distributed parameter processes is studied based on the connection between the geometric nature of system of equations and the algebraic group theory, and Infinitesimal invariance conditions on systems of equations are used to develop a control equation based on a given control objective.
Journal ArticleDOI
Finite element and conjugate gradient methods for a nonlinear optimal heat transfer control problem
TL;DR: The boundary control problem of optimal heating of an infinitely long slab with tempertue-dependent thermal conductivity, subjected to a convection and radiation boundary condition, is analysed by numerical methods and the performance index is minimized by the conjugate gradient method of optimization.
Journal ArticleDOI
Recent advances in the study of distributed parameter systems
TL;DR: A survey of the recent advances in the field of distributed parameter systems covers stability, controllability, optimal control, observability, state estimation, identification, sensitivity, computational methods, simulation, and applications.
Journal ArticleDOI
A nonlinear optimal control problem in determining the strength of the optimal boundary heat fluxes
TL;DR: In this paper, a nonlinear optimal control algorithm in determining the strength of optimal boundary heat fluxes utilizing the conjugate gradient method (CGM) of minimization is applied successfully in the present study based on the desired temperature distributions at the final time of heating.
References
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The Finite Element Method in Structural and Continuum Mechanics
O. C. Zienkiewicz,Y.K. Cheung +1 more
TL;DR: In this paper, a mathematical reference record was created on 2004-09-07, modified on 2016-08-08, and used for modelisation of mathematical reference records for the Mathematique Reference Record.
Book
Optimum systems control
TL;DR: Optimum systems control, Optimum system control, maximization systems control as discussed by the authors, maximization system control (OPC), maximisation systems control (MSC), optimum systems control
Journal ArticleDOI
Transient field problems: Two‐dimensional and three‐dimensional analysis by isoparametric finite elements
TL;DR: In this paper, the transient field problem of the type encountered in heat conduction problems is formulated in terms of the finite element process using the Galerkin approach and Curved two-dimensional and three-dimensional, isoparametric elements are used in a time-stepping solution.
Journal ArticleDOI
Necessary conditions for a class of smooth second-order distributed systems
TL;DR: In this paper, necessary conditions for the optimum control of a class of smooth second-order distributed systems subject to general boundary conditions of the Neumann type are derived for optimal control.
Related Papers (5)
Finite element analysis of optimal heating of a slab with temperature dependent thermal conductivity
Optimal Heating of a Slab with a Plane Heat Source of Timewise Varying Strength
Chung J. Chen,M.N. Özişik +1 more