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In this paper, we consider the problem of optimizing the worst-case behavior of a partially observed system. All uncontrolled disturbances are modeled as finite-valued uncertain variables. Using the theory of cost distributions, we present…

Optimization and Control · Mathematics 2023-02-21 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

Optimization and Control · Mathematics 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

As the systems we control become more complex, first-principle modeling becomes either impossible or intractable, motivating the use of machine learning techniques for the control of systems with continuous action spaces. As impressive as…

Optimization and Control · Mathematics 2019-02-07 Ross Boczar , Nikolai Matni , Benjamin Recht

We propose a novel approach to design a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertain system is modeled as linear parameter varying with additive disturbance. Set bounds for the system…

Systems and Control · Electrical Eng. & Systems 2022-08-11 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R Stürz , Xiaojing Zhang , Francesco Borrelli

Control of nonlinear distributed parameter systems (DPS) under uncertainty is a meaningful task for many industrial processes. However, both intrinsic uncertainty and high dimensionality of DPS require intensive computations, while…

Optimization and Control · Mathematics 2024-10-17 Min Tao , Ioannis Zacharopoulos , Constantinos Theodoropoulos

This paper studies the feedback stabilization of abstract Cauchy problems with unbounded output operators by finite-dimensional controllers. Both necessary conditions and sufficient conditions for feedback stabilizability are presented. The…

Optimization and Control · Mathematics 2023-09-06 Tian Xia , Giacomo Casadei , Francesco Ferrante , Luca Scardovi

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

In this paper, a novel robust output regulation control framework is proposed for the system subject to noise, modeled disturbance and unmodeled disturbance to seek tracking performance and robustness simultaneously. The output regulation…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Zhicheng Zhang , Zhiqiang Zuo , Xiang Chen , Ying Tan , Yijing Wang

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai

We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

Econometrics · Economics 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

Optimization and Control · Mathematics 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

Robust optimization safeguards decisions against uncertainty by optimizing against worst-case scenarios, yet their effectiveness hinges on a prespecified robustness level that is often chosen ad hoc, leading to either insufficient…

Machine Learning · Statistics 2026-02-02 Wenbin Zhou , Shixiang Zhu

Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

This paper studies binary linear programming problems in the presence of uncertainties that may cause solution values to change during implementation. This type of uncertainty, termed implementation uncertainty, is modeled explicitly…

Optimization and Control · Mathematics 2021-09-29 Jose E. Ramirez-Calderon , V. Jorge Leon

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

Optimization and Control · Mathematics 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

For linear systems, many data-driven control methods rely on the behavioral framework, using historical data of the system to predict the future trajectories. However, measurement noise introduces errors in predictions. When the noise is…

Optimization and Control · Mathematics 2023-08-29 Baiwei Guo , Yuning Jiang , Colin N. Jones , Giancarlo Ferrari-Trecate

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

Optimization and Control · Mathematics 2022-02-23 Omid Nohadani , Kartikey Sharma

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

Optimization and Control · Mathematics 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

Predictive control, which is based on a model of the system to compute the applied input optimizing the future system behavior, is by now widely used. If the nominal models are not given or are very uncertain, data-driven model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Hoang Hai Nguyen , Maurice Friedel , Rolf Findeisen