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Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises.…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

Data-driven control offers a powerful alternative to traditional model-based methods, particularly when accurate system models are unavailable or prohibitively complex. While existing data-driven control methods primarily aim to construct…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Janina Schaa , Thomas Berger

Many robot control scenarios involve assessing system robustness against a task specification. If either the controller or environment are composed of "black-box" components with unknown dynamics, we cannot rely on formal verification to…

Robotics · Computer Science 2022-02-23 Craig Innes , Subramanian Ramamoorthy

The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the sweeping type with involving variable time into optimization. We…

Optimization and Control · Mathematics 2025-03-05 Tan H. Cao , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Nguyen N. Thieu

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

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

A desirable property of control systems is to be robust to inputs, that is small perturbations of the inputs of a system will cause only small perturbations on its outputs. But it is not clear whether this property is maintained at the…

Software Engineering · Computer Science 2013-09-17 Eric Goubault , Sylvie Putot

This paper studies worst-case robust optimal tracking using noisy input-output data. We utilize behavioral system theory to represent system trajectories, while avoiding explicit system identification. We assume that the recent output data…

Optimization and Control · Mathematics 2021-06-28 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

A boson sampling device could efficiently sample from the output probability distribution of noninteracting bosons undergoing many-body interference. This problem is not only classically intractable, but its solution is also believed to be…

Quantum Physics · Physics 2016-01-13 Sheng-Tao Wang , Lu-Ming Duan

This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

Systems and Control · Computer Science 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

Discrete abstractions have become a standard approach to assist control synthesis under complex specifications. Most techniques for the construction of a discrete abstraction for a continuous-time system require time-space discretization of…

Systems and Control · Electrical Eng. & Systems 2021-03-17 Pian Yu , Dimos V. Dimarogonas

In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distributed controller synthesis and structured linear inverse…

Optimization and Control · Mathematics 2019-10-14 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

We present a sample-based Learning Model Predictive Controller (LMPC) for constrained uncertain linear systems subject to bounded additive disturbances. The proposed controller builds on earlier work on LMPC for deterministic systems.…

Systems and Control · Computer Science 2021-01-22 Ugo Rosolia , Francesco Borrelli

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Coarse-grained models are a core computational tool in theoretical chemistry and biophysics. A judicious choice of a coarse-grained model can yield physical insight by isolating the essential degrees of freedom that dictate the…

Statistical Mechanics · Physics 2023-04-12 Shriram Chennakesavalu , David J. Toomer , Grant M. Rotskoff

Coarse-graining or model reduction is a term describing a range of approaches used to extend the time-scale of molecular simulations by reducing the number of degrees of freedom. In the context of molecular simulation, standard…

Dynamical Systems · Mathematics 2023-11-14 Thomas Hudson , Xingjie Helen Li

While $\mathcal{H}_\infty$ methods can introduce robustness against worst-case perturbations, their nominal performance under conventional stochastic disturbances is often drastically reduced. Though this fundamental tradeoff between…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Bruce D. Lee , Thomas T. C. K. Zhang , Hamed Hassani , Nikolai Matni

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

Machine Learning · Statistics 2017-05-01 Xin Liu , Mahesan Niranjan

Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu