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We present a new proof of the turnpike property for nonlinear optimal control problems, when the running target is a steady control-state pair of the underlying system. Our strategy combines the construction of quasi-turnpike controls via…

最优化与控制 · 数学 2022-01-26 Carlos Esteve-Yagüe , Borjan Geshkovski , Dario Pighin , Enrique Zuazua

In this paper, a robust data-driven moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems is introduced. The scheme solely relies on offline collected data without employing any system identification step.…

系统与控制 · 电气工程与系统科学 2024-02-29 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

Online trajectory optimization and optimal control methods are crucial for enabling sustainable unmanned aerial vehicle (UAV) services, such as agriculture, environmental monitoring, and transportation, where available actuation and energy…

最优化与控制 · 数学 2025-06-17 Derek Fan , David A. Copp

This paper analyzes the limiting behavior of stochastic linear-quadratic optimal control problems in finite time horizon $[0,T]$ as $T\rightarrow\infty$. The so-called turnpike properties are established for such problems, under…

最优化与控制 · 数学 2022-02-28 Jingrui Sun , Hanxiao Wang , Jiongmin Yong

Our main contribution in this article is the achievement of the turnpike property in its integral and exponential forms for parameter-dependent systems with averaged observations in the cost functional. Namely, under suitable assumptions…

最优化与控制 · 数学 2024-04-29 Martín Hernández , Martin Lazar , Sebastián Zamorano

The turnpike phenomenon stipulates that the solution of an optimal control problem in large time, remains essentially close to a steady-state of the dynamics, itself being the optimal solution of an associated static optimal control…

最优化与控制 · 数学 2023-01-11 Emmanuel Trélat

Round-Trip Times are one of the most commonly collected performance metrics in computer networks. Measurement platforms such as RIPE Atlas provide researchers and network operators with an unprecedented amount of historical Internet delay…

网络与互联网体系结构 · 计算机科学 2019-10-29 Maxime Mouchet , Sandrine Vaton , Thierry Chonavel , Emile Aben , Jasper den Hertog

We consider averages convergence as the time-horizon goes to infinity of optimal solutions of time-dependent optimal control problems to optimal solutions of the corresponding stationary optimal control problems. Control problems play a key…

偏微分方程分析 · 数学 2020-08-11 Mahamadi Warma , Sebastian Zamorano

We study a class of infinite horizon impulse control problems with execution delay when the dynamics of the system is described by a general adapted stochastic process. The problem is solved by means of probabilistic tools relying on the…

概率论 · 数学 2019-05-21 Boualem Djehiche , Said Hamadene , Ibtissem Hdhiri , Helmi Zaatra

In this paper, we develop several necessary conditions of turnpike property for generalizaid linear-quadratic (LQ) optimal control problem in infinite dimensional setting. The term 'generalized' here means that both quadratic and linear…

最优化与控制 · 数学 2024-03-15 Roberto Guglielmi , Zhuqing Li

A typical bottleneck of model predictive control algorithms is the computational burden in order to compute the receding horizon feedback law which is predominantly determined by the length of the prediction horizon. Based on a relaxed…

最优化与控制 · 数学 2014-01-16 Jürgen Pannek , Karl Worthmann

In this paper, we present performance estimates for stochastic economic MPC schemes with risk-averse cost formulations. For MPC algorithms with costs given by the expectation of stage cost evaluated in random variables, it was recently…

最优化与控制 · 数学 2025-04-02 Jonas Schießl , Ruchuan Ou , Michael H. Baumann , Timm Faulwasser , Lars Grüne

The $H_2$ norm is a commonly used performance metric in the design of estimators. However, $H_2$-optimal estimation of most PDEs is complicated by the lack of transfer function and state-space representations. To address this problem, we…

最优化与控制 · 数学 2026-05-19 Danio Braghini , Sachin Shivakumar , Matthew M. Peet

Optimisation-based algorithms known as Moving Horizon Estimator (MHE) have been developed through the years. This paper illustrates the implementation of the policy introduced in the companion paper submitted to the 18th IFAC Workshop on…

最优化与控制 · 数学 2022-04-21 Federico Oliva , Daniele Carnevale

The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady…

最优化与控制 · 数学 2019-07-04 Timm Faulwasser , Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

This paper presents a simulation study on turnpike phenomena in stochastic optimal control problems. We employ the framework of Polynomial Chaos Expansions (PCE) to investigate the presence of turnpikes in stochastic LQ problems. Our…

系统与控制 · 电气工程与系统科学 2020-10-26 Ruchuan Ou , Michael Heinrich Baumann , Lars Grüne , Timm Faulwasser

This paper is concerned with optimal control problems for a linear homogeneous stochastic differential equation having regime switching with purely quadratic functional in the large time horizons. We establish the so-called turnpike…

最优化与控制 · 数学 2025-06-12 Hongwei Mei , Rui Wang , Jiongmin Yong

The problem of optimal stopping with finite horizon in discrete time is considered in view of maximizing the expected gain. The algorithm proposed in this paper is completely nonparametric in the sense that it uses observed data from the…

统计理论 · 数学 2013-07-24 Michael Kohler , Harro Walk

This paper presents an open-source miniature car-like robot with low-cost sensing and a pipeline for optimization-based system identification, state estimation, and control. The overall robotics platform comes at a cost of less than \$\,700…

This paper studies an optimization-based state estimation approach for discrete-time nonlinear systems under bounded process and measurement disturbances. We first introduce a full information estimator (FIE), which is given as a solution…

动力系统 · 数学 2015-03-18 Wuhua Hu , Lihua Xie , Keyou You