Journal ArticleDOI
Applications of mathematical programming techniques in optimal control: A survey
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TLDR
Direct applications of mathematical programming techniques in numerical solutions of optimal control problems are reviewed and areas of application include aerospace trajectory optimization and rendezvous problems, computer control of processes, and nuclear reactor control problems.Abstract:
Direct applications of mathematical programming techniques in numerical solutions of optimal control problems are reviewed The types of control systems discussed include linear, nonlinear, continuous- and discrete-time, deterministic, stochastic, and distributed-parameter systems The areas of application include aerospace trajectory optimization and rendezvous problems, computer control of processes, and nuclear reactor control problems A classified bibliography is includedread more
Citations
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Direct solution of nonlinear optimal control problems using quasilinearization and Chebyshev polynomials
TL;DR: The quasilinearization method is used to replace the nonlinear optimal control problem with a sequence of constrained linear-quadratic optimal control problems, then each of the state variables is approximated by a finite length Chebyshev series with unknown parameters.
Journal ArticleDOI
A symplectic pseudospectral method for nonlinear optimal control problems with inequality constraints.
TL;DR: A symplectic pseudospectral method based on the dual variational principle and the quasilinearization method is proposed and is successfully applied to solve nonlinear optimal control problems with inequality constraints in this paper.
Journal ArticleDOI
Computational and approximate methods of optimal control
TL;DR: Approximate methods of solving problems of optimal control are classified and analyzed, and their domain of applicability is indicated.
Journal ArticleDOI
Optimal control of linearly constrained linear systems via state parametrization
V. Yen,Mark L. Nagurka +1 more
TL;DR: Simulation results demonstrate that the approach accurately predicts the optimal performance index and the optimal state and control trajectories of linear, lumped parameter, dynamic systems subjected to linear constraints.
Journal ArticleDOI
An interactive fuzzy satisficing method for multiobjective optimal control problems in linear distributed-parameter systems
TL;DR: An interactive fuzzy satisficing method for the solution of a multiobjective optimal control problem in a linear distributed-parameter system governed by a heat conduction equation using a numerical integration formula and introduced the suitable auxiliary variables.
References
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Journal ArticleDOI
Partitioning procedures for solving mixed-variables programming problems
TL;DR: In this article, the 8th International Meeting of the Institute of Management Sciences, Brussels, August 23-26, 1961, the authors presented a paper entitled "The International Journal of Management Science and Management Sciences".
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The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints
TL;DR: The gradient projection method was originally presented to the American Mathematical Society for solving linear programming problems by Dantzig et al. as discussed by the authors, and has been applied to nonlinear programming problems as well.
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The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints
Journal ArticleDOI
Integer Programming: Methods, Uses, Computations
TL;DR: This paper attempts to present the major methods, successful or interesting uses, and computational experience relating to integer or discrete programming problems, as well as some special purpose algorithms for use on highly structured problems.
ReportDOI
On variable metric methods of minimization
TL;DR: Two basic approaches to the generation of conjugate directions are considered for the problem of unconstrained minimization of a quadratic function, and a projected gradient algorithm and a class of variable metric algorithms are derived.