Nonlinear programming methods based on closed-form expressions for optimal train control

Sequential Action Control: Closed-Form Optimal Control for Nonlinear Systems

This paper presents a means to compute predictive optimal controls on-line and in closed loop for broad classes of differentiable nonlinear systems. Rather than iteratively optimize control sequences to minimize an objective, we derive a closedform expression for the control actions at each instant that optimally improve a tracking objective. As a special case, optimal actions are shown to redu...

Nonlinear Programming Methods for Solving Optimal Control Problems

This paper concerns with the problem of solving optimal control problems by means of nonlinear programming methods. The technique employed to obtain a mathematical programming problem from an optimal control problem is explained and the Newton interior–point method, chosen for its solution, is presented with special regard to the choice of the involved parameters. An analysis of the behaviour o...

Time Optimal Closed - Loop Fuzzy - Control Strategy for Nonlinear Lunar Lander Mission

Generalized Uniformly Optimal Methods for Nonlinear Programming

In this paper, we present a generic framework to extend existing uniformly optimal convex programming algorithms to solve more general nonlinear, possibly nonconvex, optimization problems. The basic idea is to incorporate a local search step (gradient descent or Quasi-Newton iteration) into these uniformly optimal convex programming methods, and then enforce a monotone decreasing property of th...

Optimal Control and Nonlinear Programming

In this thesis, we have two distinct but related subjects: optimal control and nonlinear programming. In the first part of this thesis, we prove that the value function, propagated from initial or terminal costs, and constraints, in the form of a differential equation, satisfy a subgradient form of the Hamilton-Jacobi equation in which the Hamiltonian is measurable with respect to time. In the ...