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We consider a parametric quasi-variational inequality (QVI) without any convexity assumption. Using the concept of \emph{optimal value function}, we transform the problem into that of solving a nonsmooth system of inequalities. Based on…

最优化与控制 · 数学 2024-08-21 Joydeep Dutta , Lahoussine Lafhim , Alain Zemkoho , Shenglong Zhou

We propose a method for learning linear models whose predictive performance is robust to causal interventions on unobserved variables, when noisy proxies of those variables are available. Our approach takes the form of a regularization term…

机器学习 · 计算机科学 2021-06-29 Michael Oberst , Nikolaj Thams , Jonas Peters , David Sontag

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

机器人学 · 计算机科学 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

A new approach for robust Hinfty filtering for a class of Lipschitz nonlinear systems with time-varying uncertainties both in the linear and nonlinear parts of the system is proposed in an LMI framework. The admissible Lipschitz constant of…

系统与控制 · 计算机科学 2014-03-04 Masoud Abbaszadeh , Horacio J. Marquez

Effective exploration remains a central challenge in model-based reinforcement learning (MBRL), particularly in high-dimensional continuous control tasks where sample efficiency is crucial. A prominent line of recent work leverages learned…

机器学习 · 计算机科学 2026-05-22 Álvaro Serra-Gomez , Daniel Jarne Ornia , Dhruva Tirumala , Thomas Moerland

Ensuring safety of nonlinear systems under model uncertainty and external disturbances is crucial, especially for real-world control tasks. Predictive methods such as robust model predictive control (RMPC) require solving nonconvex…

系统与控制 · 电气工程与系统科学 2023-11-14 Zeyang Li , Chuxiong Hu , Weiye Zhao , Changliu Liu

We present a novel robust control framework for continuous-time, perturbed nonlinear dynamical systems with uncertainty that depends nonlinearly on both the state and control inputs. Unlike conventional approaches that impose structural…

最优化与控制 · 数学 2025-07-21 Sihang Wei , Melkior Ornik , Hiroyasu Tsukamoto

In this paper, we investigate a data-driven framework to solve Linear Quadratic Regulator (LQR) problems when the dynamics is unknown, with the additional challenge of providing stability certificates for the overall learning and control…

系统与控制 · 电气工程与系统科学 2026-04-13 Lorenzo Sforni , Guido Carnevale , Ivano Notarnicola , Giuseppe Notarstefano

In this paper, we address the problem of computing the maximal admissible robust positive invariant (MARPI) set for discrete-time linear time-varying systems with parametric uncertainties and additive disturbances. The system state and…

最优化与控制 · 数学 2024-06-26 Anchita Dey , Shubhendu Bhasin

For constrained linear systems with bounded disturbances and parametric uncertainty, we propose a robust adaptive model predictive control strategy with online parameter estimation. Constraints enforcing persistently exciting closed loop…

最优化与控制 · 数学 2023-03-08 Xiaonan Lu , Mark Cannon

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

系统与控制 · 电气工程与系统科学 2024-02-21 Daniel D. Leister , Justin P. Koeln

In this paper, we consider the analysis and control of continuous-time nonlinear systems to ensure universal shifted stability and performance, i.e., stability and performance w.r.t. each forced equilibrium point of the system. This…

系统与控制 · 电气工程与系统科学 2023-08-17 Patrick J. W. Koelewijn , Siep Weiland , Roland Tóth

This paper considers a formulation of the robust adaptive beamforming (RAB) problem based on worst-case signal-to-interference-plus-noise ratio (SINR) maximization with a nonconvex uncertainty set for the steering vectors. The uncertainty…

信号处理 · 电气工程与系统科学 2023-03-22 Yongwei Huang , Hao Fu , Sergiy A. Vorobyov , Zhi-Quan Luo

In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing…

系统与控制 · 电气工程与系统科学 2025-06-24 Julius P. J. Krebbekx , Roland Tóth , Amritam Das

This article introduces a novel framework for data-driven linear quadratic regulator (LQR) design. First, we introduce a reinforcement learning paradigm for on-policy data-driven LQR, where exploration and exploitation are simultaneously…

系统与控制 · 电气工程与系统科学 2024-02-23 Marco Borghesi , Alessandro Bosso , Giuseppe Notarstefano

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

系统与控制 · 计算机科学 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Inverse linear programming (LP) has received increasing attention due to its potential to generate efficient optimization formulations that can closely replicate the behavior of a complex system. However, inversely inferred parameters and…

最优化与控制 · 数学 2022-02-22 Zahed Shahmoradi , Taewoo Lee

This paper presents a sample-efficient, data-driven control framework for finite-horizon linear quadratic (LQ) control of linear time-varying (LTV) systems. In contrast to the time-invariant case, the time-varying LQ problem involves a…

系统与控制 · 电气工程与系统科学 2025-09-30 Sahel Vahedi Noori , Maryam Babazadeh

We address the problem of {\it adaptivity} in the framework of reproducing kernel Hilbert space (RKHS) regression. More precisely, we analyze estimators arising from a linear regularization scheme $g_\lam$. In practical applications, an…

机器学习 · 统计学 2018-04-17 Nicole Mücke

This paper deals with the development and analysis of novel time-optimal point-to-point model predictive control concepts for nonlinear systems. Recent approaches in the literature apply a time transformation, however, which do not maintain…

系统与控制 · 电气工程与系统科学 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram