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This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

This paper deals with the stochastic control of nonlinear systems in the presence of state and control constraints, for uncertain discrete-time dynamics in finite dimensional spaces. In the deterministic case, the viability kernel is known…

Optimization and Control · Mathematics 2010-02-08 Luc Doyen , Delara Michel

This letter presents a framework for synthesizing a robust full-state feedback controller for systems with unknown nonlinearities. Our approach characterizes input-output behavior of the nonlinearities in terms of local norm bounds using…

Optimization and Control · Mathematics 2025-12-16 Sze Kwan Cheah , Diganta Bhattacharjee , Maziar S. Hemati , Ryan J. Caverly

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

In the first part of the paper, we consider a discrete-time stochastic control system. We show that, under certain conditions, the set of random occupational measures generated by the state-control trajectories of the system as well as the…

Optimization and Control · Mathematics 2022-12-21 Lucas Gamertsfelder

This paper examines stochastic optimal control problems in which the state is perfectly known, but the controller's measure of time is a stochastic process derived from a strictly increasing L\'evy process. We provide dynamic programming…

Optimization and Control · Mathematics 2014-01-03 Andrew Lamperski , Noah J. Cowan

In this paper, we consider the problem of multi-objective optimal control of a dynamical system with additive and multiplicative noises with given second moments and arbitrary probability distributions. The objectives are given by quadratic…

Optimization and Control · Mathematics 2014-02-17 Ather Gattami

In this article, we consider a receding horizon control of discrete-time state-dependent jump linear systems, particular kind of stochastic switching systems, subject to possibly unbounded random disturbances and probabilistic state…

Systems and Control · Computer Science 2014-07-25 Shaikshavali Chitraganti , Samir Aberkane , Christophe Aubrun , Guillermo Valencia-Palomo , Vasile Dragan

Monotone systems, also known as order-preserving or cooperative systems, are prevalent in models of engineering applications such as transportation and biological networks. In this paper, we investigate the problem of finding a control…

Systems and Control · Computer Science 2018-07-30 Sadra Sadraddini , Calin Belta

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

Both for the theoretical and practical treatment of Inverse Problems, the modeling of the noise is a crucial part. One either models the measurement via a deterministic worst-case error assumption or assumes a certain stochastic behavior of…

Probability · Mathematics 2016-04-26 Daniel Gerth , Andreas Hofinger , Ronny Ramlau

In this work, we exploit an offline-sampling based strategy for the constrained data-driven predictive control of an unknown linear system subject to random measurement noise. The strategy uses only past measured, potentially noisy data in…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Kerz , Tim Brüdigam , Dirk Wollherr , Marion Leibold

This work addresses stochastic optimal control problems where the unknown state evolves in continuous time while partial, noisy, and possibly controllable measurements are only available in discrete time. We develop a framework for…

Optimization and Control · Mathematics 2025-08-19 Christian Bayer , Boualem Djehiche , Eliza Rezvanova , Raul Fidel Tempone

Machine-learned black-box policies are ubiquitous for nonlinear control problems. Meanwhile, crude model information is often available for these problems from, e.g., linear approximations of nonlinear dynamics. We study the problem of…

Machine Learning · Computer Science 2022-06-06 Tongxin Li , Ruixiao Yang , Guannan Qu , Yiheng Lin , Steven Low , Adam Wierman

This article investigates the problem of controlling linear time-invariant systems subject to time-varying and a priori unknown cost functions, state and input constraints, and exogenous disturbances. We combine the online convex…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Marko Nonhoff , Emiliano Dall'Anese , Matthias A. Müller

We consider a nonlinear discrete stochastic control system, and our goal is to design a feedback control policy in order to lead the system to a prespecified state. We adopt a stochastic approximation viewpoint of this problem. It is known…

Optimization and Control · Mathematics 2025-09-03 Hoang Huy Nguyen , Siva Theja Maguluri

We address the output regulation problem for a general class of linear stochastic systems. Specifically, we formulate and solve the ideal full-information and output-feedback problems, obtaining perfect, but non-causal, asymptotic…

Systems and Control · Electrical Eng. & Systems 2021-04-26 Alberto Mellone , Giordano Scarciotti

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

In this paper we propose a robust Model Predictive Control where a Gated Recurrent Unit network model is used to learn the input-output dynamic of the system under control. Robust satisfaction of input and output constraints and recursive…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Irene Schimperna , Lalo Magni