As wind energy production keeps on increasing, it is necessary to optimize the fatigue/performance trade-off of operating turbines. However, considering fatigue directly in optimal control needs be carefully done because its faithful model does not necessarily fit standard forms commonly required by general purpose solvers. It was recently shown that a signal variance and induced can statistica...

Abstract: A new method for the optimal solutions is proposed. Originating from the continuous-time dynamics stability theory in the control field, the optimal solution is anticipated to be obtained in an asymptotically evolving way. By introducing a virtual dimension— —the variation time, a dynamic system that describes the variation motion is deduced from the Optimal Control Problem (OCP), and...

A compact version of the Variation Evolving Method (VEM) is developed for the optimal control computation. It follows the idea that originates from the continuous-time dynamics stability theory in the control field. The optimal solution is analogized to the equilibrium point of a dynamic system and is anticipated to be obtained in an asymptotically evolving way. With the introduction of a virtu...

We present a novel data-driven model predictive control (MPC) approach to unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the system parametrization provided by Fundamental Lemma of Willems et al. use new measurements online update data, exploiting local linear approximations underlying system. prove that our MPC scheme...

Abstract This paper exploits the equivalence between constrained dynamics problems and a class of tracking control problems. An alternative derivation of the modern formulation of Parczewski and Blajer (1989) is presented, including some new analysis on the “almost singular” case, followed by a critique of the classical Lagrangian formulation. In addition, a new formulation which allows the con...

This paper is concerned with a new class of mean-field games which involve finite number agents. Necessary and sufficient conditions are obtained for the existence decentralized open-loop Nash equilibrium in terms non-standard forward–backward stochastic differential equations (FBSDEs). By solving FBSDEs, we design set strategies by virtue two Riccati equations. Instead ɛ-Nash classical games, ...

Anti-slug control of multiphase risers involves stabilizing an open-loop unstable operating point. PID control is the preferred choice in the industry, but appropriate tuning is required for robustness. In this paper, we define PIDF as a PID with a low-pass filter on its derivative action where the low-pass filter is crucial for the dynamics. We compared a new PIDF tuning based on Internal Mode...