A method is developed for solving bang-bang and singular optimal control problems using adaptive Legendre–Gauss–Radau collocation. The divided into several parts. First, a structure detection that identifies switch times in the analyzes corresponding switching function segments where solution either or singular. Second, after has been detected, domain decomposed multiple domains such multiple-d...

Amethod for generating a near-minimum-time control input for  exible structures is presentedwith the objective of minimizing the maneuver time and the residual energy of the  exible modes. The method is based on smoothing the bang–bang, time-optimal control input designed for the rigid-body mode. Smoothing is accomplished through the addition, to the basic time-optimal control problem for the...

The electrical vehicle energy management problem can be expressed as an optimal control one. In this work, we discuss on a new formulation and about the way to approximate this optimal control problem of Bang-Bang type via a discretization technique associated with a Branch and Bound algorithm. The problem that we focuss on is to compute the minimal energy consumption of an electrical car achie...

An optimal control problem is studied for a predator-prey system with logistic growth rate of the prey and a prey-dependent functional response of the predator. The control function has two components and signifies the rate of mixture between the individuals of the species. The form of the optimal control is determined according to Pontryagin’s maximum principle. It is bang-bang and the number ...

In this article, the problem of hybrid optimal control for DC-DC power converters is treated. The designed control is of type bang-bang established from Pontryagin’s maximum principle. The control is a state feedback and it is determined using an energy based minimization criterion derived from the power balance of Port-Hamiltonian systems. The developed control has the advantage to be easy to ...

This paper introduces a novel bang–bang sliding control of a class of single-input bilinear systems. The sliding function is chosen via the well-known pole-assignment method for linear time-invariant systems. Importantly, the bang–bang sliding control generates a reaching-and-sliding region and a stable-sliding region, each expressed by a set of linear inequalities. Both regions comprise the eq...

A nonlinear mathematical model which includes synergistic effects of chemo- and immunotherapy is analyzed (both analytically numerically) as an optimal control problem with free terminal time for the scheduling combination therapies. Side drugs are measured indirectly by including total doses respective weights penalty terms in objective. The formulation allows us to judge amounts agents requir...

In this paper, hybrid impedancehime-delay control is used for a robot to successfully achieve contact tasks without changing a control algorithm or controller gains throughout all three modes: free space, contact transition and constrained motion. In order to absorb impact forces and stabilize the system upon collision with a stiff environment, a nonlinear bang-bang impact controller is develop...