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Compressed sensing deals with the recovery of sparse signals from linear measurements. Without any additional information, it is possible to recover an $s$-sparse signal using $m \gtrsim s \log(d/s)$ measurements in a robust and stable way.…

泛函分析 · 数学 2016-05-25 Axel Flinth

The multi-label classification framework, where each observation can be associated with a set of labels, has generated a tremendous amount of attention over recent years. The modern multi-label problems are typically large-scale in terms of…

统计理论 · 数学 2017-03-16 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri , Joseph Salmon

We present a suboptimal control design algorithm for a family of continuous-time parameter-dependent linear systems that are composed of interconnected subsystems. We are interested in designing the controller for each subsystem such that…

最优化与控制 · 数学 2013-07-24 Farhad Farokhi , Henrik Sandberg , Karl H. Johansson

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics…

信息论 · 计算机科学 2015-07-21 Anastasios Kyrillidis , Luca Baldassarre , Marwa El-Halabi , Quoc Tran-Dinh , Volkan Cevher

This paper proposes an output feedback controller capable of ensuring steady-state offset-free tracking for ramp and sinusoidal reference signals while ensuring local stability and state and input constraints fulfillment. The proposed…

最优化与控制 · 数学 2024-03-18 Geovana Franca dos Santos , Eugenio B. Castelan , Walter Lucia

This paper presents convergence analysis of a novel data-driven feedback control algorithm designed for generating online controls based on partial noisy observational data. The algorithm comprises a particle filter-enabled state estimation…

最优化与控制 · 数学 2024-05-31 Siming Liang , Hui Sun , Richard Archibald , Feng Bao

We propose a formulation for approximate constrained nonlinear output-feedback stochastic model predictive control. Starting from the ideal but intractable stochastic optimal control problem (OCP), which involves the optimization over…

最优化与控制 · 数学 2023-01-10 Florian Messerer , Katrin Baumgärtner , Moritz Diehl

We introduce concepts from optimal estimation to the stabilization of precision frequency standards limited by noisy local oscillators. We develop a theoretical framework casting various measures for frequency standard variance in terms of…

量子物理 · 物理学 2016-08-17 J. Sastrawan , C. Jones , I. Akhalwaya , H. Uys , M. J. Biercuk

In this paper, we present an equivalent convex optimization formulation for discrete-time stochastic linear systems subject to linear chance constraints, alongside a tight convex relaxation for quadratic chance constraints. By lifting the…

系统与控制 · 电气工程与系统科学 2026-03-23 Tanmay Dokania , Yashwanth Kumar Nakka

We study distributed output feedback control for a heterogeneous multi-agent system (MAS), consisting of N different continuous-time linear dynamical systems. For achieving output consensus, a virtual reference model is assumed to generate…

最优化与控制 · 数学 2016-10-31 Luis D. Alvergue , Abhishek Pandey , Guoxiang Gu , Xiang Chen

This paper presents a new model-based algorithm that computes predictive optimal controls on-line and in closed loop for traditionally challenging nonlinear systems. Examples demonstrate the same algorithm controlling hybrid impulsive,…

机器人学 · 计算机科学 2017-09-04 Alex Ansari , Todd Murphey

This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

系统与控制 · 电气工程与系统科学 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant…

最优化与控制 · 数学 2020-08-24 John W. Simpson-Porco

This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can…

Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass…

最优化与控制 · 数学 2024-04-01 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler

In this paper, we consider the problem of recovering a sparse signal based on penalized least squares formulations. We develop a novel algorithm of primal-dual active set type for a class of nonconvex sparsity-promoting penalties, including…

最优化与控制 · 数学 2019-02-28 Jian Huang , Yuling Jiao , Bangti Jin , Jin Liu , Xiliang Lu , Can Yang

This paper designs a model predictive control (MPC) law for constrained linear systems with stochastic additive disturbances and noisy measurements, minimising a discounted cost subject to a discounted expectation constraint. It is assumed…

系统与控制 · 电气工程与系统科学 2022-04-22 Shuhao Yan , Mark Cannon , Paul J. Goulart

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

信息论 · 计算机科学 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

信号处理 · 电气工程与系统科学 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

In this article we present a novel discrete-time design approach which reduces the deteriorating effects of sampling on stability and performance in digitally controlled nonlinear mechanical systems. The method is motivated by recent…

系统与控制 · 电气工程与系统科学 2021-04-30 Paul Kotyczka , Tobias Thoma