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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

Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

Artificial Intelligence · Computer Science 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

To respond to volatility and congestion in the power grid, demand response (DR) mechanisms allow for shaping the load compared to a base load profile. When tapping on a large population of heterogeneous appliances as a DR resource, the…

Systems and Control · Computer Science 2014-04-09 Mahnoosh Alizadeh , Anna Scaglione , Andy Applebaum , George Kesidis , Karl Levitt

We develop safe protocols for thermostatically controlled loads (TCLs) to provide power pulses to the grid without a subsequent oscillatory response. Such pulses can alleviate power fluctuations by intermittent resources and maintain…

Dynamical Systems · Mathematics 2017-02-27 Nishant Mehta , Nikolai. A. Sinitsyn , Scott Backhaus , Bernard. C. Lesieutre

Fueled by advances in both robust optimization theory and reinforcement learning (RL), robust Markov Decision Processes (RMDPs) have garnered increasing attention due to their powerful capability for sequential decision-making under…

Optimization and Control · Mathematics 2025-07-08 Wenfan Ou , Sheng Bi

This paper considers random access in deadline-constrained broadcasting with frame-synchronized traffic. To enhance the maximum achievable timely delivery ratio (TDR), we define a dynamic control scheme that allows each active node to…

Systems and Control · Electrical Eng. & Systems 2021-08-09 Aoyu Gong , Lei Deng , Fang Liu , Yijin Zhang

Probabilistic model checking can provide formal guarantees on the behavior of stochastic models relating to a wide range of quantitative properties, such as runtime, energy consumption or cost. But decision making is typically with respect…

Logic in Computer Science · Computer Science 2024-03-19 Ingy Elsayed-Aly , David Parker , Lu Feng

Aggregate load modeling is of fundamental importance for systematic analysis and design of various demand response strategies. Instead of keeping track of the trajectories of individual loads, the aggregate modeling problem focuses on…

Systems and Control · Computer Science 2017-08-22 Lin Zhao , Wei Zhang

We present a stochastic model predictive control (MPC) framework for central heating, ventilation, and air conditioning (HVAC) plants. The framework uses real data to forecast and quantify uncertainty of disturbances affecting the system…

Optimization and Control · Mathematics 2020-02-25 Ranjeet Kumar , Michael J. Wenzel , Mohammad N. ElBsat , Michael J. Risbeck , Kirk H. Drees , Victor M. Zavala

Ensembles of thermostatically controlled loads (TCL) provide a significant demand response reserve for the system operator to balance power grids. However, this also results in the parasitic synchronization of individual devices within the…

Systems and Control · Electrical Eng. & Systems 2021-01-05 Ilia Luchnikov , David Métivier , Henni Ouerdane , Michael Chertkov

A major challenge to implementing residential demand response is that of aligning the objectives of many households, each of which aims to minimize its payments and maximize its comfort level, while balancing this with the objectives of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Sleiman Mhanna , Archie Chapman , Gregor Verbic

In a Shared Mobility on Demand Service (SMoDS), dynamic pricing plays an important role in the form of an incentive for the decision of the empowered passenger on the ride offer. Strategies for determining the dynamic tariff should be…

Optimization and Control · Mathematics 2020-07-06 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

This article introduces a novel distributionally robust model predictive control (DRMPC) algorithm for a specific class of controlled dynamical systems where the disturbance multiplies the state and control variables. These classes of…

Optimization and Control · Mathematics 2024-10-04 Souvik Das , Siddhartha Ganguly , Ashwin Aravind , Debasish Chatterjee

With the rapid growth in renewable energy and battery storage technologies, there exists significant opportunity to improve energy efficiency and reduce costs through optimization. However, optimization algorithms must take into account the…

Optimization and Control · Mathematics 2019-02-19 Chaitanya Poolla , Abraham K. Ishihara , Rodolfo Milito

This paper addresses the real-time energy dispatch of a hybrid system comprising cascaded hydropower plants, wind, and solar units, jointly participating in the day-ahead energy market under inflow, renewable generation, and price…

Optimization and Control · Mathematics 2025-10-15 Luca Santosuosso , Sonja Wogrin

We consider Markov decision processes (MDPs) with unknown disturbance distribution and address this problem using the robust Markov decision process (RMDP) approach. We construct the empirical distribution of the unknown disturbance…

Optimization and Control · Mathematics 2026-03-11 Sivaramakrishnan Ramani

Electricity peaks can be harmful to grid stability and result in additional generation costs to balance supply with demand. By developing a network of smart appliances together with a quasi-decentralized control protocol, direct load…

Systems and Control · Computer Science 2013-01-24 Bowen Zhang , John Baillieul

Many real-world decision-making problems face the off-dynamics challenge: the agent learns a policy in a source domain and deploys it in a target domain with different state transitions. The distributionally robust Markov decision process…

Machine Learning · Computer Science 2025-05-26 Zhishuai Liu , Pan Xu

Controlling stochastic systems with unknown dynamics and under complex specifications is specially challenging in safety-critical settings, where performance guarantees are essential. We propose a data-driven policy synthesis framework that…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Ibon Gracia , Morteza Lahijanian

In this paper, we consider an integrated MSP-MDP framework which captures features of Markov decision process (MDP) and multistage stochastic programming (MSP). The integrated framework allows one to study a dynamic decision-making process…

Optimization and Control · Mathematics 2025-09-29 Zhiyao Yang , Zhiping Chen , Huifu Xu
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