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With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhongda Chu , Fei Teng

This paper presents a novel algorithmic study with extensive numerical experiments of distributionally robust multistage convex optimization (DR-MCO). Following the previous work on dual dynamic programming (DDP) algorithmic framework for…

Optimization and Control · Mathematics 2025-11-24 Shixuan Zhang , Xu Andy Sun

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo

We consider the problem of direct data-driven predictive control for unknown stochastic linear time-invariant (LTI) systems with partial state observation. Building upon our previous research on data-driven stochastic control, this paper…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Ruiqi Li , John W. Simpson-Porco , Stephen L. Smith

This paper presents a novel approach to addressing the distributionally robust nonlinear model predictive control (DRNMPC) problem. Current literature primarily focuses on the static Wasserstein distributionally robust optimal control…

Optimization and Control · Mathematics 2023-04-18 Zhengang Zhong , Jia-Jie Zhu

This paper considers a risk-constrained motion planning problem and aims to find the solution combining the concepts of iterative model predictive control (MPC) and data-driven distributionally robust (DR) risk-constrained optimization. In…

Optimization and Control · Mathematics 2023-10-09 Alireza Zolanvari , Ashish Cherukuri

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

This paper studies a distributionally robust chance constrained program (DRCCP) with Wasserstein ambiguity set, where the uncertain constraints should be satisfied with a probability at least a given threshold for all the probability…

Optimization and Control · Mathematics 2020-02-17 Weijun Xie

As the complexity of modern control systems increases, it becomes challenging to derive an accurate model of the uncertainty that affects their dynamics. Wasserstein Distributionally Robust Optimization (DRO) provides a powerful framework…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

Wasserstein distributionally robust control (DRC) recently emerges as a principled paradigm for handling uncertainty in stochastic dynamical systems. However, it constructs data-driven ambiguity sets via uniform distribution shifts before…

Optimization and Control · Mathematics 2025-10-14 Jingyi Wu , Chao Ning , Yang Shi

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

In this paper, we study a data-enabled predictive control (DeePC) algorithm applied to unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted input/output data to predict future trajectories and compute optimal…

Optimization and Control · Mathematics 2019-11-04 Jeremy Coulson , John Lygeros , Florian Dörfler

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

Methodology · Statistics 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

We consider the problem of analyzing the probabilistic performance of first-order methods when solving convex optimization problems drawn from an unknown distribution only accessible through samples. By combining performance estimation…

Optimization and Control · Mathematics 2025-12-11 Jisun Park , Vinit Ranjan , Bartolomeo Stellato

A new data-enabled control technique for uncertain linear time-invariant systems, recently conceived by Coulson et\ al., builds upon the direct optimization of controllers over input/output pairs drawn from a large dataset. We adopt an…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Filippo Fabiani , Paul J. Goulart

We consider decision-making problems under decision-dependent uncertainty (DDU), where the distribution of uncertain parameters depends on the decision variables and is only observable through a finite offline dataset. To address this…

Optimization and Control · Mathematics 2025-08-12 Chengrui Qu , Huiwen Jia , Pengcheng You

This paper presents a new data-driven robust predictive control law, for linear systems affected by unknown-but-bounded process disturbances. A sequence of input-state data is used to construct a suitable uncertainty representation based on…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Renato Quartullo , Andrea Garulli , Mirko Leomanni

Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

Optimization and Control · Mathematics 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

We propose a purely data-driven model predictive control (MPC) scheme to control unknown linear time-invariant systems with guarantees on stability and constraint satisfaction in the presence of noisy data. The scheme predicts future…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

In this paper, we present a data-driven distributed model predictive control (MPC) scheme to stabilise the origin of dynamically coupled discrete-time linear systems subject to decoupled input constraints. The local optimisation problems…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Matthias Köhler , Julian Berberich , Matthias A. Müller , Frank Allgöwer