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This chapter presents the development and the analysis of a scheme for aggregate power tracking control of heterogeneous populations of thermostatically controlled loads (TCLs) based on partial differential equations (PDEs) control theory…

Optimization and Control · Mathematics 2020-10-22 Jun Zheng , Guchuan Zhu , Meng Li

Aggregations of thermostatically controlled loads (TCLs), such as air conditioners, offer valuable flexibility to the power grid. The aggregate power consumption of a TCL fleet can be controlled by adjusting thermostat setpoints. An…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Mazen Elsaadany , Hamid R. Ossareh , Mads R. Almassalkhi

An exciting application of crowdsourcing is to use social networks in complex task execution. In this paper, we address the problem of a planner who needs to incentivize agents within a network in order to seek their help in executing an…

Computer Science and Game Theory · Computer Science 2012-08-09 Swaprava Nath , Pankaj Dayama , Dinesh Garg , Y. Narahari , James Zou

This work discusses a two-step procedure, based on formal abstractions, to generate a finite-space stochastic dynamical model as an aggregation of the continuous temperature dynamics of a homogeneous population of Thermostatically…

Systems and Control · Computer Science 2013-07-31 Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate

We introduce the notion of fault tolerant mechanism design, which extends the standard game theoretic framework of mechanism design to allow for uncertainty about execution. Specifically, we define the problem of task allocation in which…

Computer Science and Game Theory · Computer Science 2013-01-07 Ryan Porter , Amir Ronen , Yoav Shoham , Moshe Tennenholtz

To study the impacts of price responsive demand on the electric power system requires better load models. This paper discusses the modeling of uncertainties in aggregated thermostatically controlled loads using a state queueing (SQ) model.…

Chaotic Dynamics · Physics 2016-11-17 Ning Lu , David P. Chassin , Steve E. Widergren

As an effective learning paradigm against insufficient training samples, Multi-Task Learning (MTL) encourages knowledge sharing across multiple related tasks so as to improve the overall performance. In MTL, a major challenge springs from…

Machine Learning · Computer Science 2020-04-30 Zhiyong Yang , Qianqian Xu , Xiaochun Cao , Qingming Huang

A market consisting of a generator with thermal and renewable generation capability, a set of non-preemptive loads (i.e., loads which cannot be interrupted once started), and an independent system operator (ISO) is considered. Loads are…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Nathan Dahlin , Rahul Jain

We develop an algorithm for the motion and task planning of a system comprised of multiple robots and unactuated objects under tasks expressed as Linear Temporal Logic (LTL) constraints. The robots and objects evolve subject to uncertain…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Christos K. Verginis , Yiannis Kantaros , Dimos V. Dimarogonas

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

Traditional bulk load flexibility options, such as load shifting and load curtailment, for managing uncertainty in power markets limit the diversity of options and ignore the preferences of the individual loads, thus reducing efficiency and…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Majid Majidi , Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

Coordinated aggregation of a large population of thermostatically controlled loads (TCLs) presents a great potential to provide various ancillary services to the grid. One of the key challenges of integrating TCLs into system level…

Optimization and Control · Mathematics 2017-04-04 Lin Zhao , Wei Zhang , He Hao , Karan Kalsi

The use of machine learning methods helps to improve decision making in different fields. In particular, the idea of bridging predictions (machine learning models) and prescriptions (optimization problems) is gaining attention within the…

Optimization and Control · Mathematics 2022-11-22 Antonio Alcántara , Carlos Ruiz

We study mechanism design when a designer repeatedly uses a fixed mechanism to interact with strategic agents who learn from observing their allocations. We introduce a static framework, calibrated mechanism design, requiring mechanisms to…

Theoretical Economics · Economics 2026-02-19 Laura Doval , Alex Smolin

We present a mechanism for socially efficient implementation of model predictive control (MPC) algorithms for load frequency control (LFC) in the presence of self-interested power generators. Specifically, we consider a situation in which…

Optimization and Control · Mathematics 2016-08-18 Takashi Tanaka , Vijay Gupta

In this work, a novel method for planar task and motion planning based on hybrid modeling is proposed. By virtue of a discrete variable which models local constraint satisfaction and enables local feasibility analysis, the proposed control…

Robotics · Computer Science 2026-05-06 Panagiotis Rousseas , Dimos V. Dimarogonas

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

The aim of the project is to investigate and assess opportunities for applying reinforcement learning (RL) for power system control. As a proof of concept (PoC), voltage control of thermostatically controlled loads (TCLs) for power…

Machine Learning · Computer Science 2020-05-12 Oleh Lukianykhin , Tetiana Bogodorova

The flexible power consumption feature of thermostatically controlled loads (TCLs) such as heating, ventilation, and air-conditioning (HVAC) systems makes them attractive targets for demand response (DR). TCLs possess a brief period where…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Praveen Dhanasekar , Cunzhi Zhao , Xingpeng Li

We study allocation mechanisms that utilize costly signaling as a screening tool. A social planner aims to maximize social welfare, defined as the weighted sum of agents' utilities, while implementing a specific allocation rule. Within a…

Theoretical Economics · Economics 2026-03-04 Yingkai Li , Xiaoyun Qiu