Modern machine tools based on parallel kinematic architecture provide excellent performance in terms of stiffness/weight ratio. Also, hydraulic actuators are widely used in industrial applications due to several advantages like large force and torque, high power to weight ratio, rapid response. The current paper presents the mechatronic design of a translational 3-DOF parallel robot which uses ...

In this article we study an optimal stopping/optimal control problem which models the decision facing a risk averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the decision over when to sell, the agent has to choose a control strategy which corresponds to a feasible wealth process. We formulate this problem as one involv...

The objective of this paper is to present a special application field of optimal control and differential game theories which is of interest to management scientists. After introducing the Vidale-Wolfe’s and NerloveArrow’s dynamic models for advertising processes, I will focus on a few exemplary problems. At a first investigation level, we find some optimal control problems, then the more inter...

We consider the classical problem of control of linear systems with quadratic cost. When the true system dynamics are unknown, an adaptive policy is required for learning the model parameters and planning a control policy simultaneously. Addressing this trade-off between accurate estimation and good control represents the main challenge in the area of adaptive control. Another important issue i...

In optimal control theory, it is well known that the co-state arc and the associated maximized Hamiltonian function can be interpreted in terms of gradients of the value function, evaluated along the optimal state trajectory. Such relations have been referred to as ‘sensitivity relations’ in the literature. We provide in this paper new sensitivity relations for state constrained optimal control...

This paper aims to present a robust attitude control strategy with guaranteed transient performance. Firstly, a Lyapunov-based control law is designed to achieve highperformance attitude control in the absence of disturbance and parameter variation. The proposed control law uses small feedback gains to suppress the control torque at large attitude error, and increases those gains with the conve...

We present an active control scheme of a kinetic model of swarming. It has been shown previously that the global control scheme for the model, presented in [1], gives rise to spontaneous collective organization of agents into a unified coherent swarm, via a long-range attractive and short-range repulsive potential. We extend these results by presenting control laws whereby a single swarm is bro...

This paper presents the results of a lateral control strategy that has been applied to the problem of steering an autonomous vehicle using vision. The lateral control law has been designed for any kind of vehicle presenting the Ackerman kinematic model, accounting for the vehicle velocity as a crucial parameter for adapting the steering control response. This makes the control strategy suitable...

We establish the equivalence of competitive industry equilibrium with a central planner’s decision problem under uncertainty, when investment is irreversible. The existence of industry equilibrium is derived, and it is shown that myopic behavior on the part of small agents is harmless, in the sense that it leads to the same decisions as full rational expectations do. Our model is set in continu...