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The identification of a linear system model from data has wide applications in control theory. The existing work that provides finite sample guarantees for linear system identification typically uses data from a single long system…

机器学习 · 统计学 2025-05-09 Lei Xin , Baike She , Qi Dou , George Chiu , Shreyas Sundaram

Adaptive control provides techniques for adjusting control parameters in real time to maintain system performance despite unknown or changing process parameters. These methods use real data to tune controllers and adjust plant models or…

系统与控制 · 电气工程与系统科学 2024-06-12 Ioan Doré Landau , Rogelio Lozano , Mohammed M Saad , Alireza Karimi

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output matching problem, a problem closely related to the…

最优化与控制 · 数学 2023-02-27 Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

We consider a discrete time stochastic Markovian control problem under model uncertainty. Such uncertainty not only comes from the fact that the true probability law of the underlying stochastic process is unknown, but the parametric family…

最优化与控制 · 数学 2022-03-23 Erhan Bayraktar , Tao Chen

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

系统与控制 · 电气工程与系统科学 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada

We study the problem of adaptive control of the linear quadratic regulator for systems in very high, or even infinite dimension. We demonstrate that while sublinear regret requires finite dimensional inputs, the ambient state dimension of…

最优化与控制 · 数学 2021-07-16 Juan C. Perdomo , Max Simchowitz , Alekh Agarwal , Peter Bartlett

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

系统与控制 · 电气工程与系统科学 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

Changing some of its parameters over time is a paradigmatic way of driving an otherwise isolated many-body quantum system out of equilibrium, and a vital ingredient for building quantum computers and simulators. Here, we further develop a…

量子物理 · 物理学 2024-11-06 Lennart Dabelow , Peter Reimann

A unified solution to adaptive approximation-based control for nonlinear systems with accurate and inaccurate state measurement is synthesized in this study. Starting from the standard adaptive approximation-based controller with accurate…

系统与控制 · 电气工程与系统科学 2023-06-06 Dong Zhao

This paper studies the problem of output agreement in networks of nonlinear dynamical systems under time-varying disturbances. Necessary and sufficient conditions for output agreement are derived for the class of incrementally passive…

系统与控制 · 计算机科学 2013-02-05 Mathias Burger , Claudio De Persis

This paper presents a novel adaptive control methodology for uncertain systems with time-varying unknown parameters and time-varying bounded disturbance. The adaptive controller ensures uniformly bounded transient and asymptotic tracking…

最优化与控制 · 数学 2007-05-23 Chengyu Cao , Naira Hovakimyan

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

机器学习 · 计算机科学 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

Real-time adaptation is imperative to the control of robots operating in complex, dynamic environments. Adaptive control laws can endow even nonlinear systems with good trajectory tracking performance, provided that any uncertain dynamics…

机器人学 · 计算机科学 2022-04-15 Spencer M. Richards , Navid Azizan , Jean-Jacques Slotine , Marco Pavone

Control problems frequently arise in scientific and industrial applications, where the objective is to steer a dynamical system from an initial state to a desired target state. Recent advances in deep learning and automatic differentiation…

系统与控制 · 电气工程与系统科学 2026-01-09 Lucas Böttcher

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

系统与控制 · 电气工程与系统科学 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

Optimization lies at the heart of machine learning and signal processing. Contemporary approaches based on the stochastic gradient method are non-adaptive in the sense that their implementation employs prescribed parameter values that need…

最优化与控制 · 数学 2020-01-22 Frank E. Curtis , Katya Scheinberg

The paper is concerned with mechanical systems which are controlled by implementing a number of time-dependent, frictionless holonomic constraints. The main novelty is due to the presence of additional non-holonomic constraints. We develop…

动力系统 · 数学 2012-08-22 Alberto Bressan , Ke Han , Franco Rampazzo

We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are…

经典分析与常微分方程 · 数学 2022-10-12 Lucas Backes , Davor Dragičević

Nonlinear programming targets nonlinear optimization with constraints, which is a generic yet complex methodology involving humans for problem modeling and algorithms for problem solving. We address the particularly hard challenge of…

机器人学 · 计算机科学 2021-01-29 David Hägele , Moataz Abdelaal , Ozgur S. Oguz , Marc Toussaint , Daniel Weiskopf

We present an approach for accelerating nonlinear model predictive control. If the current optimal input signal is saturated, also the optimal signals in subsequent time steps often are. We propose to use the open-loop optimal input signals…

最优化与控制 · 数学 2020-09-15 Raphael Dyrska , Ruth Mitze , Martin Mönnigmann