Showing papers on "Shape optimization published in 1972"
TL;DR: The modified multiplier method with the simplified conjugate gradient method is used to compute the solution of a time-optimal control problem for a V/STOL aircraft.
Abstract: A modified multiplier method for optimization problems with equality constraints is suggested and its application to constrained optimal control problems described. For optimal control problems with free terminal time, a gradient descent technique for updating control functions as well as the terminal time is developed. The modified multiplier method with the simplified conjugate gradient method is used to compute the solution of a time-optimal control problem for a V/STOL aircraft.
31 citations
1 Jan 1972
TL;DR: In this article, the numerical solution of optimal control problems involving a functional I subject to differential constraints, a state variable inequality constraint, and terminal constraints is considered, where the problem is to find the state x, the control u(t), and the parameter pi so that the functional is minimized, while the constraints are satisfied to a predetermined accuracy.
Abstract: : The paper considers the numerical solution of optimal control problems involving a functional I subject to differential constraints, a state variable inequality constraint, and terminal constraints. The problem is to find the state x(t), the control u(t), and the parameter pi so that the functional is minimized, while the constraints are satisfied to a predetermined accuracy. The approach taken is a sequence of two-phase processes or cycles, composed of a gradient phase and a restoration phase. (Modified author abstract)
13 citations
1 Jan 1972
TL;DR: In this article, the numerical solution of optimal control problems involving a function subject to differential constraints, a state variable inequality constraint, and terminal constraints is considered, where the problem is to find the state x, the control u, and the parameter pi so that the functional is minimized, while the constraints are satisfied to a predetermined accuracy.
Abstract: : The paper considers the numerical solution of optimal control problems involving a function subject ot differential constraints, a state variable inequality constraint, and terminal constraints. The problem is to find the state x(t), the control u(t), and the parameter pi so that the functional is minimized, while the constraints are satisfied to a predetermined accuracy. (Modified author abstract)
6 citations
TL;DR: A computational aspect not discussed in [1] is presented and a variation of the optimization algorithm is given which improves its convergence characteristics and computational speed.
Abstract: A computational aspect not discussed in [1] is presented. A variation of the optimization algorithm is given which improves its convergence characteristics and computational speed.
2 citations