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We present an online stochastic model predictive control framework for demand charge management for a grid-connected consumer with attached electrical energy storage. The consumer we consider must satisfy an inflexible but stochastic…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Benjamin Flamm , Guillermo Ramos , Annika Eichler , John Lygeros

We consider the problem of finding the best memoryless stochastic policy for an infinite-horizon partially observable Markov decision process (POMDP) with finite state and action spaces with respect to either the discounted or mean reward…

Optimization and Control · Mathematics 2022-05-02 Johannes Müller , Guido Montúfar

This work presents a stochastic dynamic programming (SDP) algorithm that aims at minimizing an economic criteria based on the total energy consumption of a range extender electric vehicle (REEV). This algorithm integrates information from…

Optimization and Control · Mathematics 2016-11-18 K. Aouchiche , J. Frederic Bonnans , Giovanni Granato , Hasnaa Zidani

This paper addresses the problem of learning the optimal control policy for a nonlinear stochastic dynamical system with continuous state space, continuous action space and unknown dynamics. This class of problems are typically addressed in…

Machine Learning · Computer Science 2019-04-18 Ran Wang , Karthikeya Parunandi , Dan Yu , Dileep Kalathil , Suman Chakravorty

The aim of this paper is to address optimality of stochastic control strategies via dynamic programming subject to total variation distance ambiguity on the conditional distribution of the controlled process. We formulate the stochastic…

Optimization and Control · Mathematics 2014-02-06 Ioannis Tzortzis , Charalambos D. Charalambous , Themistoklis Charalambous

Cooling system plays a critical role in a modern data center (DC). Developing an optimal control policy for DC cooling system is a challenging task. The prevailing approaches often rely on approximating system models that are built upon the…

Artificial Intelligence · Computer Science 2018-07-19 Yuanlong Li , Yonggang Wen , Kyle Guan , Dacheng Tao

We propose a machine learning algorithm for solving finite-horizon stochastic control problems based on a deep neural network representation of the optimal policy functions. The algorithm has three features: (1) It can solve…

General Economics · Economics 2024-12-09 Xianhua Peng , Steven Kou , Lekang Zhang

We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle is the natural way of…

Optimization and Control · Mathematics 2010-12-16 Kengy Barty , Pierre Carpentier , Guy Cohen , Pierre Girardeau

We introduce StoDCuP (Stochastic Dynamic Cutting Plane), an extension of the Stochastic Dual Dynamic Programming (SDDP) algorithm to solve multistage stochastic convex optimization problems. At each iteration, the algorithm builds lower…

Optimization and Control · Mathematics 2021-04-08 Vincent Guigues , Renato Monteiro

Numerically computing global policies to optimal control problems for complex dynamical systems is mostly intractable. In consequence, a number of approximation methods have been developed. However, none of the current methods can quantify…

Robotics · Computer Science 2021-03-05 Ashwin Khadke , Hartmut Geyer

We present a finite-horizon optimization algorithm that extends the established concept of Dual Dynamic Programming (DDP) in two ways. First, in contrast to the linear costs, dynamics, and constraints of standard DDP, we consider problems…

Optimization and Control · Mathematics 2018-07-17 Marc Hohmann , Joseph Warrington , John Lygeros

As we transition towards a power grid that is increasingly based on renewable resources like solar and wind, the intelligent control of distributed energy resources (DER) including photovoltaic (PV) arrays, controllable loads, energy…

Optimization and Control · Mathematics 2014-10-02 Trudie Wang , Dan O'Neill , Haresh Kamath

The high variability of renewable energy resources presents significant challenges to the operation of the electric power grid. Conventional generators can be used to mitigate this variability but are costly to operate and produce carbon…

Optimization and Control · Mathematics 2012-04-13 Han-I Su , Abbas El Gamal

In this paper, we propose a new policy iteration algorithm to compute the value function and the optimal controls of continuous time stochastic control problems. The algorithm relies on successive approximations using linear-quadratic…

Optimization and Control · Mathematics 2024-09-09 Dylan Possamaï , Ludovic Tangpi

Kernel embeddings of distributions have recently gained significant attention in the machine learning community as a data-driven technique for representing probability distributions. Broadly, these techniques enable efficient computation of…

Optimization and Control · Mathematics 2021-03-25 Adam J. Thorpe , Meeko M. K. Oishi

With the simultaneous rise of energy costs and demand for cloud computing, efficient control of data centers becomes crucial. In the data center control problem, one needs to plan at every time step how many servers to switch on or off in…

Performance · Computer Science 2018-01-25 Paul Weng , Zeqi Qiu , John Costanzo , Xiaoqi Yin , Bruno Sinopoli

The nonlinear damping characteristics of the oscillating wave surge converter (OWSC) significantly impact the performance of the power take-off system. This study presents a framework by integrating deep reinforcement learning (DRL) with…

Computational Engineering, Finance, and Science · Computer Science 2024-10-14 Mai Ye , Chi Zhang , Yaru Ren , Ziyuan Liu , Oskar J. Haidn , Xiangyu Hu

This paper studies a crucial problem in power system balancing control, i.e., the multi-time slot economic dispatch (MTSED) problem, for power grids with substantial renewables, synchronous generators (SGs), and energy storage devices…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Luwei Yang , Tao Liu , David J. Hill

The rapid development of renewable energy in the energy Internet is expected to alleviate the increasingly severe power problem in data centers, such as the huge power costs and pollution. This paper focuses on the eco-friendly power cost…

Networking and Internet Architecture · Computer Science 2018-11-28 Chunlei Sun , Xiangming Wen , Zhaoming Lu , Wenpeng Jing , Michele Zorzi

One of the most important challenges in the integration of renewable energy sources into the power grid lies in their `intermittent' nature. The power output of sources like wind and solar varies with time and location due to factors that…

Systems and Control · Computer Science 2011-10-21 Yashodhan Kanoria , Andrea Montanari , David Tse , Baosen Zhang