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This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

Optimization and Control · Mathematics 2024-07-15 Jean-Sébastien Brouillon , Andrea Martin , John Lygeros , Florian Dörfler , Giancarlo Ferrari Trecate

We investigate the problem of synthesizing distributionally robust control policies for stochastic systems under safety and reach-avoid specifications. Using a game-theoretical framework, we consider the setting where the probability…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Yu Chen , Yuda Li , Shaoyuan Li , Xiang Yin

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

In this paper we study a class of time-inconsistent terminal Markovian control problems in discrete time subject to model uncertainty. We combine the concept of the sub-game perfect strategies with the adaptive robust stochastic to tackle…

Optimization and Control · Mathematics 2020-09-10 Tomasz R. Bielecki , Tao Chen , Igor Cialenco

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

Optimization and Control · Mathematics 2020-11-24 Kunwu Zhang , Yang Shi

Distributionally robust control (DRC) aims to effectively manage distributional ambiguity in stochastic systems. While most existing works address inaccurate distributional information in fully observable settings, we consider a partially…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Astghik Hakobyan , Insoon Yang

The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

The paper studies the robustness properties of discrete-time stochastic optimal control under Wasserstein model approximation for both discounted-cost and average-cost criteria. Specifically, we study the performance loss when applying an…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Yichen Zhou , Yanglei Song , Serdar Yüksel

This paper presents a novel Wasserstein distributionally robust control and state estimation algorithm for partially observable linear stochastic systems, where the probability distributions of disturbances and measurement noises are…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

Distributionally robust control is a well-studied framework for optimal decision making under uncertainty, with the objective of minimizing an expected cost function over control actions, assuming the most adverse probability distribution…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Alexandros E. Tzikas , Lukas Fiechtner , Arec Jamgochian , Mykel J. Kochenderfer

In this paper, we develop a two-stage data-driven approach to address the adjustable robust optimization problem, where the uncertainty set is adjustable to manage infeasibility caused by significant or poorly quantified uncertainties. In…

Optimization and Control · Mathematics 2025-05-29 Xiaoxing Ren , Alessio Moreschini , Zhongda Chu , Yulong Gao , Thomas Parisini

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Without exact knowledge of the true system dynamics, optimal control of non-linear continuous-time systems requires careful treatment under epistemic uncertainty. In this work, we translate a probabilistic interpretation of the Pontryagin…

Machine Learning · Computer Science 2025-09-03 David Leeftink , Çağatay Yıldız , Steffen Ridderbusch , Max Hinne , Marcel van Gerven

We consider distributionally robust optimal control of stochastic linear systems under signal temporal logic (STL) chance constraints when the disturbance distribution is unknown. By assuming that the underlying predicate functions are…

Systems and Control · Electrical Eng. & Systems 2024-09-09 Arash Bahari Kordabad , Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas , Sadegh Soudjani

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

Optimization and Control · Mathematics 2020-01-03 Chao Shang , Fengqi You

We consider stochastic programs where the distribution of the uncertain parameters is only observable through a finite training dataset. Using the Wasserstein metric, we construct a ball in the space of (multivariate and non-discrete)…

Optimization and Control · Mathematics 2017-06-14 Peyman Mohajerin Esfahani , Daniel Kuhn

This paper studies the robust optimal control design for uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (robust-ADP). The objective is to fill up a gap in the past literature of ADP where dynamic…

Dynamical Systems · Mathematics 2013-03-12 Yu Jiang , Zhong-Ping Jiang

A data-driven MPC scheme is proposed to safely control constrained stochastic linear systems using distributionally robust optimization. Distributionally robust constraints based on the Wasserstein metric are imposed to bound the state…

Optimization and Control · Mathematics 2021-05-19 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis