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In this paper, we investigate the model reference adaptive control approach for uncertain piecewise affine systems with performance guarantees. The proposed approach ensures the error metric, defined as the weighted Euclidean norm of the…

Systems and Control · Electrical Eng. & Systems 2022-01-21 Tong Liu , Martin Buss

This paper proposes an agent-based model that combines both spot and balancing electricity markets. From this model, we develop a multi-agent simulation to study the integration of the consumers' flexibility into the system. Our study…

Systems and Control · Computer Science 2018-02-13 Florian Kühnlenz , Pedro H. J. Nardelli , Santtu Karhinen , Rauli Svento

This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Guido Cavraro , Andrey Bernstein , Emiliano Dall'Anese

We consider the problem of dynamic pricing of a product in the presence of feature-dependent price sensitivity. Developing practical algorithms that can estimate price elasticities robustly, especially when information about no purchases…

Machine Learning · Statistics 2022-12-21 Ravi Kumar , Shahin Boluki , Karl Isler , Jonas Rauch , Darius Walczak

The energy transition is expected to significantly increase the share of renewable energy sources whose production is intermittent in the electricity mix. Apart from key benefits, this development has the major drawback of generating a…

Trading and Market Microstructure · Quantitative Finance 2023-01-30 Thibaut Théate , Antonio Sutera , Damien Ernst

The flexible loads in power systems, such as interruptible and transferable loads, are critical flexibility resources for mitigating power imbalances. Despite their potential, accurate modeling of these loads is a challenging work and has…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Mingji Chen , Shuai Lu , Wei Gu , Zhaoyang Dong , Yijun Xu , Jiayi Ding

A central challenge in using price signals to coordinate the electricity consumption of a group of users is the operator's lack of knowledge of the users due to privacy concerns. In this paper, we develop a two-time-scale incentive…

Computer Science and Game Theory · Computer Science 2024-04-01 Jiayi Li , Matthew Motoki , Baosen Zhang

Price elasticity model (PEM) is an appealing and modest model for assessing the potential of flexible demand in DR. It measures the customers demand sensitivity through elasticity in relation to price variation. However, application of PEM…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Vipin Chandra Pandey , Nikhil Gupta , K. R. Niazi , Anil Swarnkar , Rayees Ahmad Thokar

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

The study of Day-Ahead prices in the electricity market is one of the most popular problems in time series forecasting. Previous research has focused on employing increasingly complex learning algorithms to capture the sophisticated…

Applications · Statistics 2024-04-29 Carlos Sebastián , Carlos E. González-Guillén , Jesús Juan

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

We present a new approach for constructing polytope Lyapunov functions for continuous-time linear switching systems (LSS). This allows us to decide the stability of LSS and to compute the Lyapunov exponent with a good precision in…

Dynamical Systems · Mathematics 2014-06-24 Nicola Guglielmi , Linda Laglia , Vladimir Protasov

We present a model predictive control (MPC) formulation to directly optimize economic criteria for linear constrained systems subject to disturbances and uncertain model parameters. The proposed formulation combines a certainty equivalent…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

This paper describes a method for computing price signals for prosumers, incentivizing them to adjust their consumption according to the constraints of the distribution grids to which they are connected, thereby preventing voltage…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Plouton Grammatikos , Ali Mohamed Ali , Fabrizio Sossan

We obtain option pricing formulas for stock price models in which the drift and volatility terms are functionals of a continuous history of the stock prices. That is, the stock dynamics follows a nonlinear stochastic functional differential…

Pricing of Securities · Quantitative Finance 2020-11-17 Flavia Sancier , Salah Mohammed

The prospective participation of smart buildings in the electricity system is strongly related to the increasing active role of demand-side resources in the electrical grid. In addition, the growing penetration of smart meters and recent…

Systems and Control · Electrical Eng. & Systems 2019-08-02 Ricardo Fernández-Blanco , Juan Miguel Morales , Salvador Pineda

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

Systems and Control · Computer Science 2015-09-25 Stefano Di Cairano

Flexibility is a key enabler for the smart grid, required to facilitate Demand Side Management (DSM) programs, managing electrical consumption to reduce peaks, balance renewable generation and provide ancillary services to the grid.…

Systems and Control · Computer Science 2017-04-06 Sarah O'Connell , Stefano Riverso

The inherent approximation ability of neural networks plays an essential role in adaptive neural control, where the prerequisite for existence of the compact set is crucial in the control designs. Instead of using practical system state, in…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mingxuan Sun , Shengxiang Zou