In this paper, we consider a class of discrete time optimal control problems with time delay and subject to nonlinear all-time-step inequality constraints on both the state and control. By using a constraint transcription technique in conjunction with a local smoothing method, the problem is approximated by a sequence of discrete time optimal control problems with time delay and subject to nonl...

In adirect collocation pseudospectralmethod, a continuous-time optimal control problem is transcribed to afinitedimensional nonlinear programming problem. Solving this nonlinear programming problem as efficiently as possible requires that sparsity at both the firstand second-derivative levels be exploited. In this paper, a computationally efficient method is developed for computing the first an...

This paper is concerned with an optimal control problem governed by a fracture model using a phase-field technique. To avoid the non-differentiability due to the irreversibility constraint on the fracture growth, the phase-field fracture model is relaxed using a penalization approach. Existence of a solution to the penalized fracture model is shown and existence of at least one solution for the...

In this paper, we study the effects of the size of the control domain on the optimal control problem of monodomain model. The optimal control problem of monodomain model is a nonlinear optimization problem that is constrained by the monodomain model that represents the electrical behavior of the cardiac tissue. Two test cases with different sizes of control domain are considered, namely Test Ca...

This article presents a parametric approach to the optimal nonlinear control problem. This contribution is based on reducing the nonlinear optimal control problem to a sequence of linear time-varying ones and approaching the desired optimal control by a sequence of linear algebraic equations. This approach provides a solution which can be obtained in a simpler way than the usual one. Alternativ...

This paper presents a computational approach for solving optimal control problem for a class of nonlinear discretetime systems. We focus on problem in which a pre-specified N local subsystems are given to describe the studied systems. For such problem, we derive an output feedback controller and a cost function such that the resulting closed-loop system is asymptotically stable and the closed l...

We consider some variants of the classical optimal transport where not only one optimizes over couplings between some variables x and y but also over some control variables governing the (possibly stochastic) evolutions of these variables with time. Such a situation is motivated by an assignment problem of tasks with workers whose characteristics can evolve with time (and be controlled). We dis...

A successive approximation approach (SAA) is developed to obtain a new congestion controller for the nonlinear network control systems. By using the successive approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems. The optimal control law obtained consists of an accurate linear feedback term ...

Optimal control of nonlinear systems provides a major challenge in control engineering. Constraints on the input signals are common to many real-world applications and render the problem to be tackled even more complicated. This paper proposes a method to map the input constraints by nonlinear functions to the state equations of the system, afterwards an approximation of the solution of the res...

| Time-optimal nonlinear control of rest to rest manoeuvres of Planar Double Arms Robot (PDAR) is solved using Pontryagin's Minimum Principle. The Forward-Backward Method (FBM) is applied to nd a numerical non-optimal solution that satisses the state equations with the initial and the nal boundary conditions. This solution is used to obtain an approximation of the initial values of the costates...