An abstract linear-quadratic optimal control problem with pointwise control constraints is investigated. This paper is concerned with the discretization of the control by piecewise linear functions. Under the assumption that the optimal control and the optimal adjoint state are Lipschitz continuous and piecewise of class C an approximation of order h is proved for the solution of the control di...

The threat of climate change and diminishing fossil fuels demands nothing short of an energy revolution, a transformation which is already underway as renewable energy markets exhibit enormous and steady growth. This paper presents design of optimal control schemes for Wind Energy Conversion Systems (WECS) based on a time scale technique. The dynamics governing the mechanical components of a va...

In this paper, the main goal is to reduce the heave motion between a surface effect ship (SES) and a wind turbine in order to safely transfer equipment and person to SES. For this purpose, an LQR control system is designed to damp the vertical motion of the surface effect ship in critical sea states including high-frequency and high amplitude regular waves as well as high frequency irregular wa...

2 Duality, central trajectories and We develop an interior-point technique for soiving quadratic dynamical systems programming problem in a Hilbert space.As an example we consider an application of these results to the linear-quadratic control problem with linear inequality constraints. It is shown that the Newton step in this situation is basically reduced to solving the standard linear-quadra...

An innnite-dimensional convex optimization problem with the linear-quadratic cost function and linear-quadratic constraints is considered. We generalize the interior-point techniques of Nesterov-Nemirovsky to this innnite-dimensional situation. The obtained complexity estimates are similar to nite-dimensional ones. We apply our results to the linear-quadratic control problem with quadratic cons...

In this paper we consider a perturbed linear-quadratic control problem on a finite interval. The only difference from the traditional LQ-control problem is that the problem has an extra linear term in the cost function which makes it time-dependent. The major motivation for this extension comes from [4] where we consider applications of very efficient primal-dual interior-point algorithms to th...