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The topic of recovery of a structured model given a small number of linear observations has been well-studied in recent years. Examples include recovering sparse or group-sparse vectors, low-rank matrices, and the sum of sparse and low-rank…

信息论 · 计算机科学 2014-07-28 Samet Oymak , Amin Jalali , Maryam Fazel , Yonina C. Eldar , Babak Hassibi

In many mechatronic applications, controller input costs are negligible and time optimality is of great importance to maximize the productivity by executing fast positioning maneuvers. As a result, the obtained control input has mostly a…

系统与控制 · 电气工程与系统科学 2025-01-28 Joe Ismail , Steven Liu

A sparse regression approach for the computation of high-dimensional optimal feedback laws arising in deterministic nonlinear control is proposed. The approach exploits the control-theoretical link between Hamilton-Jacobi-Bellman PDEs…

最优化与控制 · 数学 2020-12-23 Behzad Azmi , Dante Kalise , Karl Kunisch

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

最优化与控制 · 数学 2024-04-02 Ziming Wang , Xinghua Zhu

Recovering jointly sparse signals in the multiple measurement vectors (MMV) setting is a fundamental problem in machine learning, but traditional methods often require careful parameter tuning or prior knowledge of the sparsity of the…

机器学习 · 计算机科学 2026-02-02 Lakshmi Jayalal , Sheetal Kalyani

We consider the problem of sensor selection for designing observer and filter for continuous linear time invariant systems such that the sensor precisions are minimized, and the estimation errors are bounded by the prescribed…

系统与控制 · 电气工程与系统科学 2021-04-08 Vedang M. Deshpande , Raktim Bhattacharya

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

最优化与控制 · 数学 2026-03-17 Ethan Foss , Simone D'Amico

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel…

机器学习 · 计算机科学 2011-11-24 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

We aim to compute lifted stationary points of a sparse optimization problem (P0) with complementarity constraints. We define a continuous relaxation problem (Rv) that has the same global minimizers and optimal value with problem (P0).…

最优化与控制 · 数学 2022-12-12 Shisen Liu , Xiaojun Chen

Trial-varying disturbances are a key concern in Iterative Learning Control (ILC) and may lead to inefficient and expensive implementations and severe performance deterioration. The aim of this paper is to develop a general framework for…

系统与控制 · 计算机科学 2020-03-30 Tom Oomen , Cristian R. Rojas

We address H-infinity structured static state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the…

最优化与控制 · 数学 2015-10-02 Carolina Lidström , Anders Rantzer

This paper presents a new framework for controller robustness verification with respect to F-16 aircraft's closed-loop performance in longitudinal flight. We compare the state regulation performance of a linear quadratic regulator (LQR) and…

系统与控制 · 计算机科学 2014-02-04 Abhishek Halder , Kooktae Lee , Raktim Bhattacharya

This paper considers the problem of output feedback control for non-square multi-input multi-output systems with arbitrary relative degree. The proposed controller, based on the L1 adaptive control architecture, is designed using the right…

最优化与控制 · 数学 2024-12-20 Hanmin Lee , Venanzio Cichella , Naira Hovakimyan

Recovering nonlinearly degraded signal in the presence of noise is a challenging problem. In this work, this problem is tackled by minimizing the sum of a non convex least-squares fit criterion and a penalty term. We assume that the…

信号处理 · 电气工程与系统科学 2019-02-27 Marc Castella , Jean-Christophe Pesquet , Arthur Marmin

We consider the linear matrix inequality (LMI) problem of $H_\infty$ output feedback control problem for a generalized plant whose control input, measured output, disturbance input, and controlled output are scalar. We provide an explicit…

最优化与控制 · 数学 2020-10-13 Hayato Waki , Yoshio Ebihara , Noboru Sebe

A class of infinite horizon optimal control problems involving $L^p$-type cost functionals with $0<p\leq 1$ is discussed. The existence of optimal controls is studied for both the convex case with $p=1$ and the nonconvex case with $0<p<1$,…

最优化与控制 · 数学 2018-08-13 Dante Kalise , Karl Kunisch , Zhiping Rao

We propose a method to reconstruct sparse signals degraded by a nonlinear distortion and acquired at a limited sampling rate. Our method formulates the reconstruction problem as a nonconvex minimization of the sum of a data fitting term and…

最优化与控制 · 数学 2023-01-19 Arthur Marmin , Marc Castella , Jean-Christophe Pesquet , Laurent Duval

In exact sparse optimization problems on Rd (also known as sparsity constrained problems), one looks for solution that have few nonzero components. In this paper, we consider problems where sparsity is exactly measured either by the…

最优化与控制 · 数学 2019-02-14 Jean-Philippe Chancelier , Michel De Lara , Ponts Paristech

Owing to their statistical properties, non-convex sparse regularizers have attracted much interest for estimating a sparse linear model from high dimensional data. Given that the solution is sparse, for accelerating convergence, a working…

机器学习 · 计算机科学 2021-10-22 Alain Rakotomamonjy , Rémi Flamary , Gilles Gasso , Joseph Salmon

This paper addresses the closed-loop control of an actuator with both a continuous input variable (motor torque) and a discrete input variable (mode selection). In many applications, robots have to bear large loads while moving slowly and…

机器人学 · 计算机科学 2022-05-31 Alexandre Girard , H. Harry Asada