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In the context of dynamical systems, nonlinearity measures quantify the strength of nonlinearity by means of the distance of their input-output behaviour to a set of linear input-output mappings. In this paper, we establish a framework to…

系统与控制 · 电气工程与系统科学 2022-11-28 Tim Martin , Frank Allgöwer

H-infinity filter has been widely applied in engineering field, but copping with bounded noise is still an open problem and difficult to solve. This paper considers the H-infinity filtering problem for linear system with bounded process and…

系统与控制 · 电气工程与系统科学 2020-08-04 Jie Li , Shengbo Eben Li , Kaiming Tang , Yao Lv , Wenhan Cao

This paper presents a convex optimization-based framework for synthesizing time-varying controlled invariant funnels and associated feedback control around a given nominal trajectory for nonlinear systems subject to bounded disturbances.…

最优化与控制 · 数学 2025-11-13 Taewan Kim , Dayou Luo , Behçet Açıkmeşe

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…

最优化与控制 · 数学 2025-12-16 Sze Kwan Cheah , Diganta Bhattacharjee , Maziar S. Hemati , Ryan J. Caverly

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

系统与控制 · 电气工程与系统科学 2022-01-03 Atta Oveisi

In an open-loop experiment, an input sequence is applied to an unknown linear time-invariant system (in continuous or discrete time) affected also by an unknown-but-bounded disturbance sequence (with an energy or instantaneous bound); the…

系统与控制 · 电气工程与系统科学 2022-10-19 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

Model predictive control is a powerful tool to generate complex motions for robots. However, it often requires solving non-convex problems online to produce rich behaviors, which is computationally expensive and not always practical in real…

机器人学 · 计算机科学 2022-09-21 Avadesh Meduri , Huaijiang Zhu , Armand Jordana , Ludovic Righetti

The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches can be classified as indirect (i.e., based on an identified…

最优化与控制 · 数学 2021-09-15 Florian Dörfler , Pietro Tesi , Claudio De Persis

This paper proposes a frequency-domain system identification method for learning low-order systems. The identification problem is formulated as the minimization of the l2 norm between the identified and measured frequency responses, with…

系统与控制 · 电气工程与系统科学 2025-11-18 Arya Honarpisheh , Mario Sznaier

This paper delivers improved theoretical guarantees for the convex programming approach in low-rank matrix estimation, in the presence of (1) random noise, (2) gross sparse outliers, and (3) missing data. This problem, often dubbed as…

机器学习 · 统计学 2022-09-13 Yuxin Chen , Jianqing Fan , Cong Ma , Yuling Yan

Consider the problem of interference mitigation in the identification of the dynamics of multidimensional control systems in the class of linear stationary models for single realizations of the observed signals. A concepts uncorrelated…

动力系统 · 数学 2012-01-18 V. N. Tibabishev

The goal of this paper is to develop data-driven control design and evaluation strategies based on linear matrix inequalities (LMIs) and dynamic programming. We consider deterministic discrete-time LTI systems, where the system model is…

最优化与控制 · 数学 2021-06-17 Donghwan Lee , Do Wan Kim

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

系统与控制 · 电气工程与系统科学 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

最优化与控制 · 数学 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

In large-scale, data-driven applications, parameters are often only known approximately due to noise and limited data samples. In this paper, we focus on high-dimensional optimization problems with linear constraints under uncertain…

最优化与控制 · 数学 2024-03-01 Naqi Huang , Nestor Parolya , Theresia van Essen

This letter presents a robust data-driven receding-horizon control framework for the discrete time linear quadratic regulator (LQR) with input constraints. Unlike existing data-driven approaches that design a controller from initial data…

最优化与控制 · 数学 2025-10-08 Jian Zheng , Mario Sznaier

Large renewable penetration has been witnessed in power systems, resulting in reduced levels of system inertia and increasing requirements for frequency response services. There have been plenty of studies developing frequency-constrained…

系统与控制 · 电气工程与系统科学 2025-07-25 Yi Wang , Goran Strbac

Robustness studies of black-box models is recognized as a necessary task for numerical models based on structural equations and predictive models learned from data. These studies must assess the model's robustness to possible…

最优化与控制 · 数学 2022-09-26 Marouane Il Idrissi , Nicolas Bousquet , Fabrice Gamboa , Bertrand Iooss , Jean-Michel Loubes

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

系统与控制 · 电气工程与系统科学 2026-01-06 Sourav Sinha , Mazen Farhood

This work is concerned with robust filtering of nonlinear sampled-data systems with and without exact discrete-time models. A linear matrix inequality (LMI) based approach is proposed for the design of robust $H_{\infty}$ observers for a…

系统与控制 · 计算机科学 2018-12-27 Masoud Abbaszadeh , Horacio J. Marquez